| {"id": "middle_school_mathematics_1", "question": "\u5df2\u77e5 $a=({\\frac{3}{14}}-{\\frac{2}{15}}~)-{\\frac{1}{16}},b={\\frac{3}{14}}-({\\frac{2}{15}}-{\\frac{1}{16}}{}),c={\\frac{3}{14}}-{\\frac{2}{15}}-{\\frac{1}{16}}$\uff0c\u5224\u65b7\u4e0b\u5217\u6558\u8ff0\u4f55\u8005\u6b63\u78ba", "correct_choices": ["$a=c, b\\neq c$"], "incorrect_choices": ["$a=c, b=c$", "$a\\neq c, b=c$", "$a\\neq c, b\\neq c$"], "metadata": {"timestamp": 107, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_2", "question": "\u5df2\u77e5\u5750\u6a19\u5e73\u9762\u4e0a\uff0c\u4e00\u6b21\u51fd\u6578$y=3x+a$\u7684\u5716\u5f62\u901a\u904e\u9ede$(0,-4)$\uff0c\u5176\u4e2d$a$\u70ba\u4e00\u6578\uff0c\u6c42$a$\u7684\u503c\u70ba\u4f55\uff1f", "correct_choices": ["-4"], "incorrect_choices": ["-12", "4", "12"], "metadata": {"timestamp": 107, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_3", "question": "\u5df2\u77e5\u67d0\u6587\u5177\u5e97\u8ca9\u552e\u7684\u7b46\u8a18\u672c\u6bcf\u672c\u552e\u50f9\u5747\u76f8\u7b49\u4e14\u8d85\u904e 10 \u5143\uff0c\u5c0f\u9326\u548c\u5c0f\u52f3\u5728\u6b64 \u6587\u5177\u5e97\u5206\u5225\u8cfc\u8cb7\u82e5\u5e72\u672c\u7b46\u8a18\u672c\u3002\u82e5\u5c0f\u9326\u8cfc\u8cb7\u7b46\u8a18\u672c\u7684\u82b1\u8cbb\u70ba36 \u5143\uff0c\u5247\u5c0f\u52f3 \u8cfc\u8cb7\u7b46\u8a18\u672c\u7684\u82b1\u8cbb\u53ef\u80fd\u70ba\u4e0b\u5217\u4f55\u8005?", "correct_choices": ["48\u5143"], "incorrect_choices": ["16\u5143", "27\u5143", "30\u5143"], "metadata": {"timestamp": 107, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_4", "question": "\u82e5\u4e8c\u5143\u4e00\u6b21\u806f\u7acb\u65b9\u7a0b\u5f0f$\\begin{cases} 7x-3y=8 \\\\ 3x-y=8 \\end{cases}$ \u7684\u89e3\u70ba $x=a$\uff0c$y=b$\uff0c\u5247$a+b$\u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["24"], "incorrect_choices": ["0", "-4", "-8"], "metadata": {"timestamp": 107, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_5", "question": "\u7b97\u5f0f $\\sqrt{6} \\times (\\frac{1}{\\sqrt{3}}-1)$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["$\\sqrt{2}-\\sqrt{6}$"], "incorrect_choices": ["$\\sqrt{2}-1$", "$2-\\sqrt{6}$", "1"], "metadata": {"timestamp": 107, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_6", "question": "\u82e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0f $x^2-8x-3\\times 11=0$ \u7684\u5169\u6839\u70ba a\u3001b\uff0c\u4e14 $a>b$\uff0c\u5247 $a-2b$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["17"], "incorrect_choices": ["-25", "-19", "5"], "metadata": {"timestamp": 107, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_7", "question": "\u82e5\u5c0f\u8212\u5f9e 1 ~ 50 \u7684\u6574\u6578\u4e2d\u6311\u9078 4 \u500b\u6578\uff0c\u4f7f\u5176\u7531\u5c0f\u5230\u5927\u6392\u5e8f\u5f8c\u5f62\u6210\u4e00\u7b49\u5dee \u6578\u5217\uff0c\u4e14 4 \u500b\u6578\u4e2d\u6700\u5c0f\u7684\u662f7\uff0c\u5247\u4e0b\u5217\u54ea\u4e00\u500b\u6578\u4e0d\u53ef\u80fd\u51fa\u73fe\u5728\u5c0f\u8212\u6311\u9078\u7684\u6578\u4e4b\u4e2d?", "correct_choices": ["30"], "incorrect_choices": ["20", "25", "35"], "metadata": {"timestamp": 107, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_8", "question": "\u5df2\u77e5 $a=3.1\\times 10^{-4}$\uff0c$b=5.2\\times 10^{-8}$\uff0c\u5224\u65b7\u4e0b\u5217\u95dc\u65bc $a-b$ \u4e4b\u503c\u7684\u6558\u8ff0\u4f55\u8005\u6b63\u78ba\uff1f", "correct_choices": ["\u4ecb\u65bc 0\u30011 \u4e4b\u9593"], "incorrect_choices": ["\u6bd4 1 \u5927", "\u4ecb\u65bc -1\u30010 \u4e4b\u9593", "\u6bd4 -1 \u5c0f"], "metadata": {"timestamp": 107, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_9", "question": "\u5df2\u77e5\u5750\u6a19\u5e73\u9762\u4e0a\u6709\u4e00\u76f4\u7dda $L$\uff0c\u5176\u65b9\u7a0b\u5f0f\u70ba $y+2=0$\uff0c\u4e14 $L$ \u8207\u4e8c\u6b21\u51fd\u6578 $y=3x^2+a$ \u7684\u5716\u5f62\u76f8\u4ea4\u65bc $A$\u3001$B$ \u5169\u9ede\uff1b\u8207\u4e8c\u6b21\u51fd\u6578$y=-2x^2+b$ \u7684\u5716\u5f62\u76f8\u4ea4\u65bc$C$\u3001$D$ \u5169\u9ede\uff0c\u5176\u4e2d $a$\u3001$b$ \u70ba\u6574\u6578\u3002\u82e5 ${\\overline{AB}}=2$\uff0c${\\overline{CD}}=4$\uff0c\u5247 $a+b$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["1"], "incorrect_choices": ["9", "16", "24"], "metadata": {"timestamp": 107, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_10", "question": "\u5c0f\u67d4\u60f3\u8981\u643e\u679c\u6c41\uff0c\u5979\u6709\u860b\u679c\u3001\u82ad\u6a02\u3001\u67f3\u4e01\u4e09\u7a2e\u6c34\u679c\uff0c\u4e14\u5176\u9846\u6578\u6bd4\u70ba 9:7:6\u3002 \u5c0f\u67d4\u643e\u5b8c\u679c\u6c41\u5f8c\uff0c\u860b\u679c\u3001\u82ad\u6a02\u3001\u67f3\u4e01\u7684\u9846\u6578\u6bd4\u8b8a\u70ba 6:3:4\u3002\u5df2\u77e5\u5c0f\u67d4\u643e\u679c\u6c41 \u6642\u6c92\u6709\u4f7f\u7528\u67f3\u4e01\uff0c\u95dc\u65bc\u5979\u643e\u679c\u6c41\u6642\u53e6\u5916\u5169\u7a2e\u6c34\u679c\u7684\u4f7f\u7528\u60c5\u5f62\uff0c\u4e0b\u5217\u6558\u8ff0\u4f55\u8005\u6b63\u78ba?", "correct_choices": ["\u53ea\u4f7f\u7528\u82ad\u6a02"], "incorrect_choices": ["\u53ea\u4f7f\u7528\u860b\u679c", "\u4f7f\u7528\u860b\u679c\u53ca\u82ad\u6a02\uff0c\u4e14\u4f7f\u7528\u7684\u860b\u679c\u9846\u6578\u6bd4\u4f7f\u7528\u7684\u82ad\u6a02\u9846\u6578\u591a", "\u4f7f\u7528\u860b\u679c\u53ca\u82ad\u6a02\uff0c\u4e14\u4f7f\u7528\u7684\u82ad\u6a02\u9846\u6578\u6bd4\u4f7f\u7528\u7684\u860b\u679c\u9846\u6578\u591a"], "metadata": {"timestamp": 107, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_11", "question": "\u67d0\u5546\u5e97\u5c07\u5de7\u514b\u529b\u5305\u88dd\u6210\u65b9\u5f62\u3001\u5713\u5f62\u79ae\u76d2\u51fa\u552e\uff0c\u4e14\u6bcf\u76d2\u65b9\u5f62\u79ae\u76d2\u7684\u50f9\u9322\u76f8\u540c\uff0c \u6bcf\u76d2\u5713\u5f62\u79ae\u76d2\u7684\u50f9\u9322\u76f8\u540c\u3002\u963f\u90c1\u539f\u5148\u60f3\u8cfc\u8cb7 3 \u76d2\u65b9\u5f62\u79ae\u76d2\u548c 7 \u76d2\u5713\u5f62\u79ae\u76d2\uff0c \u4f46\u4ed6\u8eab\u4e0a\u7684\u9322\u6703\u4e0d\u8db3 240 \u5143\uff0c\u5982\u679c\u6539\u6210\u8cfc\u8cb7 7 \u76d2\u65b9\u5f62\u79ae\u76d2\u548c 3 \u76d2\u5713\u5f62\u79ae\u76d2\uff0c \u4ed6\u8eab\u4e0a\u7684\u9322\u6703\u5269\u4e0b 240 \u5143\u3002\u82e5\u963f\u90c1\u6700\u5f8c\u8cfc\u8cb7 10 \u76d2\u65b9\u5f62\u79ae\u76d2\uff0c\u5247\u4ed6\u8eab\u4e0a\u7684\u9322\u6703\u5269\u4e0b\u591a\u5c11\u5143?", "correct_choices": ["600"], "incorrect_choices": ["360", "480", "720"], "metadata": {"timestamp": 107, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_12", "question": "\u7b97\u5f0f $-{\\frac{5}{3}}-(-{\\frac{1}{6}})$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["$-\\frac{3}{2}$"], "incorrect_choices": ["$-\\frac{4}{3}$", "$-\\frac{11}{6}$", "$-\\frac{4}{9}$"], "metadata": {"timestamp": 108, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_13", "question": "\u8a08\u7b97 $(2x-3)(3x+4)$ \u7684\u7d50\u679c\uff0c\u8207\u4e0b\u5217\u54ea\u4e00\u500b\u5f0f\u5b50\u76f8\u540c\uff1f", "correct_choices": ["$6x^2-x-12$"], "incorrect_choices": ["$-7x+4$", "$-7x-12$", "$6x^2-12$"], "metadata": {"timestamp": 108, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_14", "question": "\u82e5 $\\sqrt{44}=2\\sqrt{a}, \\sqrt{54}=3\\sqrt{b}$\uff0c\u5247 $a+b$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["17"], "incorrect_choices": ["13", "24", "40"], "metadata": {"timestamp": 108, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_15", "question": "\u6c11\u570b 106 \u5e74 8 \u6708 15 \u65e5\uff0c\u5927\u6f6d\u767c\u96fb\u5ee0\u56e0\u8df3\u96fb\u5c0e\u81f4\u4f9b\u96fb\u77ed\u5c11\u7d04 430 \u842c\u74e9\uff0c\u9020\u6210 \u5168\u81fa\u7063\u591a\u8655\u5730\u65b9\u505c\u96fb\u3002\u5df2\u77e5 1 \u74e9\u7b49\u65bc 1 \u5343\u74e6\uff0c\u6c42 430 \u842c\u74e9\u7b49\u65bc\u591a\u5c11\u74e6\uff1f", "correct_choices": ["$4.3 \\times 10^{9}$"], "incorrect_choices": ["$4.3 \\times 10^{7}$", "$4.3 \\times 10^{8}$", "$4.3 \\times 10^{10}$"], "metadata": {"timestamp": 108, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_16", "question": "\u82e5\u591a\u9805\u5f0f $(5x^2+17x-12)$ \u53ef\u56e0\u5f0f\u5206\u89e3\u6210 $(x+a)(bx+c)$ \uff0c\u5176\u4e2d$a$ \u3001 $b$ \u3001 $c$ \u5747\u70ba\u6574\u6578\uff0c\u5247$a+c$ \u4e4b\u503c\u70ba\u4f55?", "correct_choices": ["1"], "incorrect_choices": ["7", "11", "13"], "metadata": {"timestamp": 108, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_17", "question": "\u7bb1\u5b50\u5167\u88dd\u6709 53 \u9846\u767d\u7403\u53ca 2 \u9846\u7d05\u7403\uff0c\u5c0f\u82ac\u6253\u7b97\u5f9e\u7bb1\u5b50\u5167\u62bd\u7403\uff0c\u4ee5\u6bcf\u6b21\u62bd\u51fa\u4e00\u7403\u5f8c\u5c07 \u7403\u518d\u653e\u56de\u7684\u65b9\u5f0f\u62bd 53 \u6b21\u7403\u3002\u82e5\u7bb1\u5b50\u5167\u6bcf\u9846\u7403\u88ab\u62bd\u5230\u7684\u6a5f\u6703\u76f8\u7b49\uff0c \u4e14\u524d 52 \u6b21\u4e2d \u62bd\u5230\u767d\u7403 51 \u6b21\u53ca\u7d05\u7403 1 \u6b21\uff0c\u5247\u7b2c53 \u6b21\u62bd\u7403\u6642\uff0c\u5c0f\u82ac\u62bd\u5230\u7d05\u7403\u7684\u6a5f\u7387\u70ba\u4f55\uff1f", "correct_choices": ["$\\frac{2}{55}$"], "incorrect_choices": ["$\\frac{1}{2}$", "$\\frac{1}{3}$", "$\\frac{2}{53}$"], "metadata": {"timestamp": 108, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_18", "question": "\u5c0f\u6db5\u8207\u963f\u5609\u4e00\u8d77\u53bb\u5496\u5561\u5e97\u8cfc\u8cb7\u540c\u6b3e\u5496\u5561\u8c46\uff0c\u5496\u5561\u8c46\u6bcf\u516c\u514b\u7684\u50f9\u9322\u56fa\u5b9a\uff0c\u8cfc\u8cb7\u6642 \u81ea\u5099\u5bb9\u5668\u5247\u7d50\u5e33\u91d1\u984d\u518d\u6e1b 5 \u5143\u3002\u82e5\u5c0f\u6db5\u8cfc\u8cb7\u5496\u5561\u8c46 250 \u516c\u514b\u4e14\u81ea\u5099\u5bb9\u5668\uff0c\u9700\u652f\u4ed8 295 \u5143\uff1b\u963f\u5609\u8cfc\u8cb7\u5496\u5561\u8c46 x \u516c\u514b\u4f46\u6c92\u6709\u81ea\u5099\u5bb9\u5668\uff0c\u9700\u652f\u4ed8 y \u5143\uff0c \u5247 y \u8207x \u7684\u95dc\u4fc2\u5f0f\u70ba\u4e0b\u5217\u4f55\u8005\uff1f", "correct_choices": ["$y=\\frac{300}{250}x$"], "incorrect_choices": ["$y=\\frac{295}{250}x$", "$y=\\frac{295}{250}x+5$", "$y=\\frac{300}{250}x+5$"], "metadata": {"timestamp": 108, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_19", "question": "\u82e5\u6b63\u6574\u6578 $a$ \u548c 420 \u7684\u6700\u5927\u516c\u56e0\u6578\u70ba 35 \uff0c\u5247\u4e0b\u5217\u6558\u8ff0\u4f55\u8005\u6b63\u78ba\uff1f", "correct_choices": ["20 \u4e0d\u53ef\u80fd\u662f $a$ \u7684\u56e0\u6578\uff0c25 \u53ef\u80fd\u662f $a$ \u7684\u56e0\u6578"], "incorrect_choices": ["20 \u53ef\u80fd\u662f $a$ \u7684\u56e0\u6578\uff0c25 \u53ef\u80fd\u662f $a$ \u7684\u56e0\u6578", "20 \u53ef\u80fd\u662f $a$ \u7684\u56e0\u6578\uff0c25 \u4e0d\u53ef\u80fd\u662f $a$ \u7684\u56e0\u6578", "20 \u4e0d\u53ef\u80fd\u662f $a$ \u7684\u56e0\u6578\uff0c25 \u4e0d\u53ef\u80fd\u662f$a$ \u7684\u56e0\u6578"], "metadata": {"timestamp": 108, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_20", "question": "\u5df2\u77e5 $a=(-12)\u00d7(-23)\u00d7(-34)\u00d7(-45)$ \uff0c $b=(-123)\u00d7(-234)\u00d7(-345)$\uff0c \u5224\u65b7\u4e0b\u5217\u6558\u8ff0\u4f55\u8005\u6b63\u78ba\uff1f", "correct_choices": ["$a$ \u70ba\u6b63\u6578\uff0c$b$ \u70ba\u8ca0\u6578"], "incorrect_choices": ["$a$ \u3001 $b$ \u7686\u70ba\u6b63\u6578", "$a$ \u3001 $b$ \u7686\u70ba\u8ca0\u6578", "$a$ \u70ba\u8ca0\u6578\uff0c$b$ \u70ba\u6b63\u6578"], "metadata": {"timestamp": 109, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_21", "question": "\u7b97\u5f0f $2^3 \\times 5^3$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["1000"], "incorrect_choices": ["30", "90", "1000000"], "metadata": {"timestamp": 109, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_22", "question": "\u5c0f\u771f\u716e\u597d\u4e86 25 \u9846\u6e6f\u5713\uff0c\u5176\u4e2d 15 \u9846\u70ba\u829d\u9ebb\u6e6f\u5713\uff0c10 \u9846\u70ba\u82b1\u751f\u6e6f\u5713\u3002\u5df2\u77e5\u5c0f\u771f\u60f3\u5f9e\u716e\u597d\u7684\u6e6f\u5713\u4e2d\u6488\u4e00\u9846\uff0c\u82e5\u6bcf\u9846\u6e6f\u5713\u88ab\u5c0f\u771f\u6488\u5230\u7684\u6a5f\u6703\u76f8\u7b49\uff0c\u5247\u4ed6\u6488\u5230\u82b1\u751f\u6e6f\u5713\u7684\u6a5f\u7387\u70ba\u4f55\uff1f", "correct_choices": ["$\\frac{2}{5}$"], "incorrect_choices": ["$\\frac{1}{2}$", "$\\frac{2}{3}$", "$\\frac{1}{10}$"], "metadata": {"timestamp": 109, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_23", "question": "\u7b97\u5f0f $\\sqrt{2} \\times (\\sqrt{48} - \\sqrt{12})$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["$2\\sqrt{6}$"], "incorrect_choices": ["$6\\sqrt{2}$", "$2\\sqrt{21}$", "$4\\sqrt{6} - 2\\sqrt{3}$"], "metadata": {"timestamp": 109, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_24", "question": "\u8a08\u7b97 $2x^2-3$ \u9664\u4ee5 $x+1$ \u5f8c\uff0c\u5f97\u5546\u5f0f\u548c\u9918\u5f0f\u5206\u5225\u70ba\u4f55\uff1f", "correct_choices": ["\u5546\u5f0f\u70ba $2x-2$\uff0c\u9918\u5f0f\u70ba -1"], "incorrect_choices": ["\u5546\u5f0f\u70ba 2\uff0c\u9918\u5f0f\u70ba -5", "\u5546\u5f0f\u70ba $2x-5$\uff0c\u9918\u5f0f\u70ba 5", "\u5546\u5f0f\u70ba $2x+2$\uff0c\u9918\u5f0f\u70ba -1"], "metadata": {"timestamp": 109, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_25", "question": "\u4e0b\u5217\u4f55\u8005\u53ef\u8868\u793a\u6210\u5169\u500b\u8cea\u6578\u7684\u4e58\u7a4d\uff1f", "correct_choices": ["82"], "incorrect_choices": ["81", "83", "84"], "metadata": {"timestamp": 109, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_26", "question": "\u5df2\u77e5\u5c0f\u8587\u4f4f\u5bb6\u7684\u897f\u65b9 100 \u516c\u5c3a\u8655\u70ba\u8eca\u7ad9\uff0c\u4f4f\u5bb6\u7684\u5317\u65b9 200 \u516c\u5c3a\u8655\u70ba\u5b78\u6821\uff0c\u4e14\u5f9e\u5b78\u6821\u5f80\u6771\u65b9\u8d70 100 \u516c\u5c3a\uff0c\u518d\u5f80\u5357\u65b9\u8d70 400 \u516c\u5c3a\u53ef\u5230\u9054\u516c\u5712\u3002\u82e5\u5c0f\u8587\u5c07\u4f4f\u5bb6\u3001\u8eca\u7ad9\u3001\u5b78\u6821\u5206\u5225\u6a19\u793a\u5728\u5750\u6a19\u5e73\u9762\u4e0a\u7684$(2,0)$\u3001$(0,0)$\u3001$(2,4)$ \u4e09\u9ede\uff0c\u5247\u516c\u5712\u61c9\u6a19\u793a\u5728\u6b64\u5750\u6a19\u5e73\u9762\u4e0a\u7684\u54ea\u4e00\u9ede\uff1f", "correct_choices": ["$(4,-4)$"], "incorrect_choices": ["$(4,12)$", "$(0,-4)$", "$(0,12)$"], "metadata": {"timestamp": 109, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_27", "question": "\u82e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0f$5(x\u22124)^2=125$ \u7684\u89e3\u70ba $a$ \u3001$b$ \uff0c\u4e14 $a>b$ \uff0c\u5247 $2a+b$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["17"], "incorrect_choices": ["-7", "-1", "11"], "metadata": {"timestamp": 109, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_28", "question": "\u4e2d\u79cb\u7bc0\u6642\u963f\u67da\u88fd\u4f5c\u7684\u5ee3\u5f0f\u6708\u9905\u3001\u86cb\u9ec3\u9165\u3001\u9cf3\u68a8\u9165\u7684\u6578\u91cf\u6bd4\u70ba 2:1:3 ,\u5176\u4e2d\u53ea\u6709\u88fd\u4f5c\u5ee3\u5f0f\u6708\u9905\u548c\u86cb\u9ec3\u9165\u6642\u4f7f\u7528\u9e79\u86cb\u9ec3\u3002\u82e5\u963f\u67da\u88fd\u4f5c\u6bcf\u500b\u5ee3\u5f0f\u6708\u9905\u6642\u4f7f\u7528 2 \u9846\u9e79\u86cb\u9ec3\uff0c\u88fd\u4f5c\u6bcf\u500b\u86cb\u9ec3\u9165\u6642\u4f7f\u7528 1 \u9846\u9e79\u86cb\u9ec3\uff0c\u4e14\u7e3d\u5171\u4f7f\u7528 120 \u9846\u9e79\u86cb\u9ec3\uff0c\u5247\u4ed6\u88fd\u4f5c\u4e86\u5e7e\u500b\u9cf3\u68a8\u9165\uff1f", "correct_choices": ["72"], "incorrect_choices": ["45", "60", "120"], "metadata": {"timestamp": 109, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_29", "question": "\u7b97\u5f0f $(-8)+(-2) \\times (-3)$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["-2"], "incorrect_choices": ["-14", "18", "30"], "metadata": {"timestamp": 110, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_30", "question": "\u82e5\u4e8c\u5143\u4e00\u6b21\u806f\u7acb\u65b9\u7a0b\u5f0f$\\begin{cases} x=4y \\\\ 6y-x=10 \\end{cases}$ \u7684\u89e3\u70ba $x=a$\uff0c$y=b$\uff0c\u5247 $a+b$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["25"], "incorrect_choices": ["-15", "-3", "5"], "metadata": {"timestamp": 110, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_31", "question": "$5^6$ \u662f $5^3$ \u7684\u591a\u5c11\u500d\uff1f", "correct_choices": ["125"], "incorrect_choices": ["2", "3", "25"], "metadata": {"timestamp": 110, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_32", "question": "\u4e0b\u5217\u7b49\u5f0f\u4f55\u8005\u4e0d\u6210\u7acb\uff1f", "correct_choices": ["$4\\sqrt{3} \\times 2\\sqrt{3}=8\\sqrt{3}$"], "incorrect_choices": ["$4\\sqrt{3}+2\\sqrt{3}=6\\sqrt{3}$", "$4\\sqrt{3}-2\\sqrt{3}=2\\sqrt{3}$", "$4\\sqrt{3} \\div 2\\sqrt{3}=2$"], "metadata": {"timestamp": 110, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_33", "question": "\u5229\u7528\u4e58\u6cd5\u516c\u5f0f\u5224\uff0c\u4e0b\u5217\u7b49\u5f0f\u4f55\u8005\u6210\u7acb\uff1f", "correct_choices": ["$248^2+2 \\times 248 \\times 52+52^2 =300^2$"], "incorrect_choices": ["$248^2+248 \\times 52+52^2=300^2$", "$248^2-248 \\times 48-48^2=200^2$", "$248^2-2 \\times 248 \\times 480-48^2 =200^2$"], "metadata": {"timestamp": 110, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_34", "question": "\u5c07\u4e00\u534a\u5f91\u70ba 6 \u7684\u5713\u5f62\u7d19\u7247\uff0c\u6cbf\u8457\u5169\u689d\u534a\u5f91\u526a\u958b\u5f62\u6210\u5169\u500b\u6247\u5f62\u3002\u82e5\u5176\u4e2d\u4e00\u500b\u6247\u5f62\u7684\u5f27\u9577\u70ba $5\\pi$ \uff0c\u5247\u53e6\u4e00\u500b\u6247\u5f62\u7684\u5713\u5fc3\u89d2\u5ea6\u6578\u662f\u591a\u5c11\uff1f", "correct_choices": ["210"], "incorrect_choices": ["30", "60", "105"], "metadata": {"timestamp": 110, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_35", "question": "\u7f8e\u7f8e\u548c\u5c0f\u5100\u5230\u8d85\u5e02\u8cfc\u7269\uff0c\u4e14\u8d85\u5e02\u6b63\u5728\u8209\u8fa6\u6478\u5f69\u6d3b\u52d5\uff0c\u55ae\u6b21\u6d88\u8cbb\u91d1\u984d\u6bcf\u6eff 100 \u5143\u53ef\u4ee5\u62ff\u5230 1 \u5f35\u6478\u5f69\u5238\u3002\u5df2\u77e5\u7f8e\u7f8e\u4e00\u6b21\u8cfc\u8cb7 5 \u76d2\u9905\u4e7e\u62ff\u5230 3 \u5f35\u6478\u5f69\u5238\uff1b\u5c0f\u5100\u4e00\u6b21\u8cfc\u8cb7 5 \u76d2\u9905\u4e7e\u8207 1 \u500b\u86cb\u7cd5\u62ff\u5230 4 \u5f35\u6478\u5f69\u5238\u3002\u82e5\u6bcf\u76d2\u9905\u4e7e\u7684\u552e\u50f9\u70ba $x$ \u5143\uff0c\u6bcf\u500b\u86cb\u7cd5\u7684\u552e\u50f9\u70ba 150 \u5143\uff0c\u5247 $x$ \u7684\u7bc4\u570d\u70ba\u4e0b\u5217\u4f55\u8005\uff1f", "correct_choices": ["$60 \\leq x<70$"], "incorrect_choices": ["$50 \\leq x<60$", "$70 \\leq x<80$", "$80 \\leq x<90$"], "metadata": {"timestamp": 110, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_36", "question": "\u5df2\u77e5 $a_1$ \uff0c $a_2$ \uff0c $......$ \uff0c$a_{40}$ \u70ba\u4e00\u7b49\u5dee\u6578\u5217\uff0c\u5176\u4e2d$a_1$ \u70ba\u6b63\u6578\uff0c\u4e14$a_{20}+a_{22}=0$\u3002\u5224\u65b7\u4e0b\u5217\u6558\u8ff0\u4f55\u8005\u6b63\u78ba\uff1f", "correct_choices": ["$a_{21}+a_{22}<0$"], "incorrect_choices": ["$a_{21}+a_{22}>0$", "$a_{21} \\times a_{22}>0$", "$a_{21} \\times a_{22}<0$"], "metadata": {"timestamp": 110, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_37", "question": "\u5df2\u77e5 $a=-\\frac{5}{223}$ \uff0c$b=\\frac{6}{263}$ \uff0c $c=-\\frac{7}{293}$ \uff0c\u5224\u65b7\u4e0b\u5217\u5404\u5f0f\u4e4b\u503c\u4f55\u8005\u6700\u5927\uff1f", "correct_choices": ["$|a-b+c|$"], "incorrect_choices": ["$|a+b+c|$", "$|a+b-c|$", "$|a-b-c|$"], "metadata": {"timestamp": 110, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_38", "question": "\u82e5\u5750\u6a19\u5e73\u9762\u4e0a\u4e8c\u6b21\u51fd\u6578$y=a(x+b)^2+c$ \u7684\u5716\u5f62\uff0c\u7d93\u904e\u5e73\u79fb\u5f8c\u53ef\u8207 $y=(x+3)^2$ \u7684\u5716\u5f62\u5b8c\u5168\u758a\u5408\uff0c\u5247 $a$ \u3001 $b$ \u3001 $c$ \u7684\u503c\u53ef\u80fd\u70ba\u4e0b\u5217\u54ea\u4e00\u7d44\uff1f", "correct_choices": ["$a=1$ \uff0c $b=0$ \uff0c $c=-2$"], "incorrect_choices": ["$a=2$ \uff0c $b=6$ \uff0c $c=0$", "$a=-1$ \uff0c $b=-3$ \uff0c$c=0$", "$a=-2$ \uff0c $b=3$ \uff0c$c=-2$"], "metadata": {"timestamp": 110, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_39", "question": "\u5df2\u77e5\u6377\u7acb\u79df\u8eca\u884c\u6709\u7532\u3001\u4e59\u5169\u500b\u71df\u696d\u64da\u9ede\uff0c\u9867\u5ba2\u79df\u8eca\u5f8c\u7576\u65e5\u9808\u65bc\u71df\u696d\u7d50\u675f\u524d\u5728\u4efb\u610f\u4e00\u500b\u64da\u9ede\u9084\u8eca\u3002\u67d0\u65e5\u71df\u696d\u7d50\u675f\u6e05\u9ede\u8eca\u8f1b\u6642\uff0c\u767c\u73fe\u5728\u7532\u6b78\u9084\u7684\u81ea\u884c\u8eca\u6bd4\u5f9e\u7532\u51fa\u79df\u7684\u591a 4 \u8f1b\u3002\u82e5\u7576\u65e5\u5f9e\u7532\u51fa\u79df\u4e14\u5728\u7532\u6b78\u9084\u7684\u81ea\u884c\u8eca\u70ba 15 \u8f1b\uff0c\u5f9e\u4e59\u51fa\u79df\u4e14\u5728\u4e59\u6b78\u9084\u7684\u81ea\u884c\u8eca\u70ba 13 \u8f1b\uff0c\u5247\u95dc\u65bc\u7576\u65e5\u5f9e\u7532\u3001\u4e59\u51fa\u79df\u7684\u81ea\u884c\u8eca\u6578\u91cf\uff0c\u4e0b\u5217\u6bd4\u8f03\u4f55\u8005\u6b63\u78ba\uff1f", "correct_choices": ["\u5f9e\u7532\u51fa\u79df\u7684\u6bd4\u5f9e\u4e59\u51fa\u79df\u7684\u5c11 2 \u8f1b"], "incorrect_choices": ["\u5f9e\u7532\u51fa\u79df\u7684\u6bd4\u5f9e\u4e59\u51fa\u79df\u7684\u591a 2 \u8f1b", "\u5f9e\u7532\u51fa\u79df\u7684\u6bd4\u5f9e\u4e59\u51fa\u79df\u7684\u591a 6 \u8f1b", "\u5f9e\u7532\u51fa\u79df\u7684\u6bd4\u5f9e\u4e59\u51fa\u79df\u7684\u5c11 6 \u8f1b"], "metadata": {"timestamp": 110, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_40", "question": "\u82e5 $a$ \u3001 $b$ \u70ba\u6b63\u6574\u6578\uff0c\u4e14 $a \\times b=2^5 \\times 3^2 \\times 5$\uff0c\u5247\u4e0b\u5217\u4f55\u8005\u4e0d\u53ef\u80fd\u70ba $a$ \u3001$b$ \u7684\u6700\u5927\u516c\u56e0\u6578\uff1f", "correct_choices": ["8"], "incorrect_choices": ["1", "6", "12"], "metadata": {"timestamp": 110, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_41", "question": "\u5c0f\u6587\u539f\u672c\u8a08\u756b\u4f7f\u7528\u7532\u3001\u4e59\u5169\u81fa\u5f71\u5370\u6a5f\u65bc 10:00 \u958b\u59cb\u4e00\u8d77\u5370\u88fd\u6587\u4ef6\u4e26\u6301\u7e8c\u5230\u4e0b\u5348\uff0c\u4f46 10:00 \u6642\u6709\u4eba\u6b63\u5728\u4f7f\u7528\u4e59\uff0c\u65bc\u662f\u4ed6\u5148\u4f7f\u7528\u7532\u5370\u88fd\uff0c\u65bc10:05 \u624d\u958b\u59cb\u4f7f\u7528\u4e59\u4e00\u8d77\u5370\u88fd\uff0c\u4e14\u5230 10:15 \u6642\u4e59\u5370\u88fd\u7684\u7e3d\u5f35\u6578\u8207\u7532\u76f8\u540c\uff0c\u5230 10:45 \u6642\u7532\u3001\u4e59\u5370\u88fd\u7684\u7e3d\u5f35\u6578\u5408\u8a08\u70ba 2100 \u5f35\u3002\u82e5\u7532\u3001\u4e59\u7684\u5370\u88fd\u5f35\u6578\u8207\u5370\u88fd\u6642\u9593\u7686\u6210\u6b63\u6bd4\uff0c\u5247\u4f9d\u7167\u5c0f\u6587\u539f\u672c\u7684\u8a08\u756b\uff0c\u7532\u3001\u4e59\u5370\u88fd\u7684\u7e3d\u5f35\u6578\u6703\u5728\u54ea\u500b\u6642\u9593\u9054\u5230 2100 \u5f35\uff1f", "correct_choices": ["0.445833333"], "incorrect_choices": ["0.444444444", "0.445138889", "0.446527778"], "metadata": {"timestamp": 110, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_42", "question": "\u8a08\u7b97\u591a\u9805\u5f0f $6x^2+4x$ \u9664\u4ee5$2x^2$ \u5f8c\uff0c\u5f97\u5230\u7684\u9918\u5f0f\u70ba\u4f55\uff1f", "correct_choices": ["$4x$"], "incorrect_choices": ["2", "4", "$2x$"], "metadata": {"timestamp": 111, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_43", "question": "\u4e0b\u5217\u4f55\u8005\u70ba 156 \u7684\u8cea\u56e0\u6578\uff1f", "correct_choices": ["13"], "incorrect_choices": ["11", "12", "14"], "metadata": {"timestamp": 111, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_44", "question": "\u7b97\u5f0f $\\frac{9}{22}+\\frac{11}{18}-(\\frac{23}{22}-\\frac{7}{18})$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["$\\frac{4}{11}$"], "incorrect_choices": ["$\\frac{9}{10}$", "$\\frac{1}{9}$", "$\\frac{5}{4}$"], "metadata": {"timestamp": 111, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_45", "question": "$\\sqrt{2022}$ \u7684\u503c\u4ecb\u65bc\u4e0b\u5217\u54ea\u5169\u500b\u6578\u4e4b\u9593\uff1f", "correct_choices": ["40\uff0c45"], "incorrect_choices": ["25\uff0c30", "30\uff0c35", "35\uff0c40"], "metadata": {"timestamp": 111, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_46", "question": "\u5df2\u77e5\u5750\u6a19\u5e73\u9762\u4e0a\u6709\u4e00\u76f4\u7dda $L$ \u8207\u4e00\u9ede $A$ \u3002\u82e5 $L$ \u7684\u65b9\u7a0b\u5f0f\u70ba$x=-2$ \uff0c $A$ \u9ede\u5750\u6a19\u70ba $(6,5)$\uff0c\u5247 $A$ \u9ede\u5230\u76f4\u7dda $L$ \u7684\u8ddd\u96e2\u70ba\u4f55\uff1f", "correct_choices": ["8"], "incorrect_choices": ["3", "4", "7"], "metadata": {"timestamp": 111, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_47", "question": "\u591a\u9805\u5f0f $39x^2+5x-14$ \u53ef\u56e0\u5f0f\u5206\u89e3\u6210 $(3x+a)(bx+c)$ \uff0c\u5176\u4e2d $a$ \u3001 $b$ \u3001 $c$ \u5747\u70ba\u6574\u6578\uff0c\u6c42$a+2c$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["-12"], "incorrect_choices": ["-3", "3", "12"], "metadata": {"timestamp": 111, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_48", "question": "\u7bb1\u5b50\u5167\u6709\u5206\u5225\u6a19\u793a\u865f\u78bc 1 \uff5e 6 \u7684\u7403\uff0c\u6bcf\u500b\u865f\u78bc\u5404 2 \u9846\uff0c\u7e3d\u5171 12 \u9846\u3002\u5df2\u77e5\u5c0f\u8339\u5148 \u5f9e\u7bb1\u5167\u62bd\u51fa 5 \u9846\u7403\u4e14\u4e0d\u5c07\u7403\u653e\u56de\u7bb1\u5167\uff0c\u9019 5 \u9846\u7403\u7684\u865f\u78bc\u5206\u5225\u662f 1\u30012\u30012\u30013\u30015\u3002\u4eca\u963f\u7d14\u6253\u7b97\u5f9e\u6b64\u7bb1\u5167\u5269\u4e0b\u7684\u7403\u4e2d\u62bd\u51fa 1 \u9846\u7403\uff0c\u82e5\u7bb1\u5167\u5269\u4e0b\u7684\u6bcf\u9846\u7403\u88ab\u4ed6\u62bd\u51fa \u7684\u6a5f\u6703\u76f8\u7b49\uff0c\u5247\u4ed6\u62bd\u51fa\u7684\u7403\u7684\u865f\u78bc\uff0c\u8207\u5c0f\u8339\u5df2\u62bd\u51fa\u7684 5 \u9846\u7403\u4e2d\u4efb\u610f\u4e00\u9846\u7403\u7684\u865f\u78bc\u76f8\u540c\u7684\u6a5f\u7387\u662f\u591a\u5c11\uff1f", "correct_choices": ["$\\frac{3}{7}$"], "incorrect_choices": ["$\\frac{3}{6}$", "$\\frac{4}{6}$", "$\\frac{4}{7}$"], "metadata": {"timestamp": 111, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_49", "question": "\u5df2\u77e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0f $(x-2)^2=3$ \u7684\u5169\u6839\u70ba $a$ \u3001 $b$\uff0c\u4e14$a>b$\uff0c\u6c42 $2a+b$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["$6+\\sqrt{3}$"], "incorrect_choices": ["9", "-3", "$-6+\\sqrt{3}$"], "metadata": {"timestamp": 111, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_50", "question": "\u5df2\u77e5 $p=7.52\u00d710^{-6}$ \uff0c\u4e0b\u5217\u95dc\u65bc $p$ \u503c\u7684\u6558\u8ff0\u4f55\u8005\u6b63\u78ba\uff1f", "correct_choices": ["\u4ecb\u65bc 0 \u8207 1 \u5169\u6578\u4e4b\u9593\uff0c\u5169\u6578\u4e2d\u6bd4\u8f03\u63a5\u8fd1 0"], "incorrect_choices": ["\u5c0f\u65bc 0", "\u4ecb\u65bc 0 \u8207 1 \u5169\u6578\u4e4b\u9593\uff0c\u5169\u6578\u4e2d\u6bd4\u8f03\u63a5\u8fd11", "\u5927\u65bc 1"], "metadata": {"timestamp": 111, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_51", "question": "\u5df2\u77e5\u5750\u6a19\u5e73\u9762\u4e0a\u6709\u4e8c\u6b21\u51fd\u6578 $y=-(x+6)^2+5$ \u7684\u5716\u5f62\uff0c\u51fd\u6578\u5716\u5f62\u8207$x$ \u8ef8\u76f8\u4ea4 \u65bc $(a,0)$ \u3001 $(b,0)$ \u5169\u9ede\uff0c\u5176\u4e2d $a<b$\u3002\u4eca\u5c07\u6b64\u51fd\u6578\u5716\u5f62\u5f80\u4e0a\u5e73\u79fb\uff0c\u5e73\u79fb\u5f8c\u51fd\u6578\u5f62\u8207$x$ \u8ef8\u76f8\u4ea4\u65bc $(c,0)$ \u3001 $(d,0)$ \u5169\u9ede\uff0c\u5176\u4e2d $c<d$\uff0c\u5224\u65b7\u4e0b\u5217\u6558\u8ff0\u4f55\u8005\u6b63\u78ba\uff1f", "correct_choices": ["$(a+b)=(c+d)$\uff0c$(b-a)<(d-c)$"], "incorrect_choices": ["$(a+b)=(c+d)$\uff0c$(b-a)>(d-c)$", "$(a+b)<(c+d)$\uff0c$(b-a)<(d-c)$", "$(a+b)<(c+d)$\uff0c$(b-a)>(d-c)$"], "metadata": {"timestamp": 111, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_52", "question": "$(-3)^3$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["-27"], "incorrect_choices": ["-9", "9", "27"], "metadata": {"timestamp": 112, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_53", "question": "\u4e0b\u5217\u4f55\u8005\u70ba\u591a\u9805\u5f0f $x^2-36$ \u7684\u56e0\u5f0f\uff1f", "correct_choices": ["$x-6$"], "incorrect_choices": ["$x-3$", "$x-4$", "$x-9$"], "metadata": {"timestamp": 112, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_54", "question": "\u5316\u7c21 $\\sqrt{135}$ \u7684\u7d50\u679c\u70ba\u4e0b\u5217\u4f55\u8005\uff1f", "correct_choices": ["$3\\sqrt{15}$"], "incorrect_choices": ["$3\\sqrt{5}$", "$27\\sqrt{5}$", "$9\\sqrt{15}$"], "metadata": {"timestamp": 112, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_55", "question": "\u5750\u6a19\u5e73\u9762\u4e0a\uff0c\u4e00\u6b21\u51fd\u6578 $y=-2x-6$ \u7684\u5716\u5f62\u901a\u904e\u4e0b\u5217\u54ea\u4e00\u500b\u9ede\uff1f", "correct_choices": ["$(-4,2)$"], "incorrect_choices": ["$(-4,1)$", "$(-4,-1)$", "$(-4,-2)$"], "metadata": {"timestamp": 112, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_56", "question": "\u5df2\u77e5 $a=-1$ \uff0c $b=-1\\frac{3}{4}$ \uff0c $c=-1\\frac{8}{5}$ \uff0c\u4e0b\u5217\u95dc\u65bc$a$\u3001$b$\u3001$c$ \u4e09\u6578\u7684\u5927\u5c0f\u95dc\u4fc2\uff0c\u4f55\u8005\u6b63\u78ba\uff1f", "correct_choices": ["$a>c>b$"], "incorrect_choices": ["$a>b>c$", "$b>c>a$", "$c>b>a$"], "metadata": {"timestamp": 112, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_57", "question": "\u6709\u591a\u5c11\u500b\u6b63\u6574\u6578\u662f 18 \u7684\u500d\u6578\uff0c\u540c\u6642\u4e5f\u662f 216 \u7684\u56e0\u6578\uff1f", "correct_choices": ["6"], "incorrect_choices": ["2", "10", "12"], "metadata": {"timestamp": 112, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_58", "question": "\u5229\u7528\u516c\u5f0f\u89e3\u53ef\u5f97\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0f$3x^2-11x-1=0$ \u7684\u5169\u89e3\u70ba$a$\u3001$b$\uff0c\u4e14 $a>b$\uff0c \u6c42 $a$ \u503c\u70ba\u4f55\uff1f", "correct_choices": ["$\\frac{11+\\sqrt{133}}{6}$"], "incorrect_choices": ["$\\frac{-11+\\sqrt{109}}{6}$", "$\\frac{-11+\\sqrt{133}}{6}$", "$\\frac{11+\\sqrt{109}}{6}$"], "metadata": {"timestamp": 112, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_59", "question": "\u82e5\u60f3\u5728\u7b49\u5dee\u6578\u5217 1,2,3,4,5 \u4e2d\u63d2\u5165\u4e00\u4e9b\u6578\uff0c\u4f7f\u5f97\u65b0\u7684\u6578\u5217\u4e5f\u662f\u7b49\u5dee\u6578\u5217\uff0c\u4e14\u65b0\u7684\u6578\u5217\u7684\u9996\u9805\u4ecd\u662f 1\uff0c\u672b\u9805\u4ecd\u662f 5\uff0c\u5247\u65b0\u7684\u6578\u5217\u7684\u9805\u6578\u53ef\u80fd\u70ba\u4e0b\u5217\u4f55\u8005\uff1f", "correct_choices": ["33"], "incorrect_choices": ["11", "15", "30"], "metadata": {"timestamp": 112, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_60", "question": "\u5df2\u77e5\u67d0\u901f\u98df\u5e97\u8ca9\u552e\u7684\u5957\u9910\u5167\u5bb9\u70ba\u4e00\u7247\u96de\u6392\u548c\u4e00\u676f\u53ef\u6a02\uff0c\u4e14\u4e00\u4efd\u5957\u9910\u7684\u50f9\u9322\u6bd4\u55ae\u9ede\u4e00\u7247\u96de\u6392\u518d\u55ae\u9ede\u4e00\u676f\u53ef\u6a02\u7684\u7e3d\u50f9\u9322\u4fbf\u5b9c 40 \u5143\u3002\u963f\u4fca\u6253\u7b97\u5230\u8a72\u901f\u98df\u5e97\u8cb7\u5169\u4efd\u5957\u9910\uff0c\u82e5\u4ed6\u767c\u73fe\u5e97\u5167\u6709\u55ae\u9ede\u4e00\u7247\u96de\u6392\u5c31\u518d\u9001\u4e00\u7247\u96de\u6392\u7684\u4fc3\u92b7\u6d3b\u52d5\uff0c \u4e14\u55ae\u9ede\u4e00\u7247\u96de\u6392\u518d\u55ae\u9ede\u5169\u676f\u53ef\u6a02\u7684\u7e3d\u50f9\u9322\uff0c\u6bd4\u5169\u4efd\u5957\u9910\u7684\u7e3d\u50f9\u9322\u4fbf\u5b9c 10 \u5143\uff0c \u5247\u6839\u64da\u984c\u610f\u53ef\u5f97\u5230\u4e0b\u5217\u54ea\u4e00\u500b\u7d50\u8ad6\uff1f", "correct_choices": ["\u55ae\u9ede\u4e00\u7247\u96de\u6392\u7684\u50f9\u9322\u5fc5\u70ba 90 \u5143"], "incorrect_choices": ["\u4e00\u4efd\u5957\u9910\u7684\u50f9\u9322\u5fc5\u70ba 140 \u5143", "\u4e00\u4efd\u5957\u9910\u7684\u50f9\u9322\u5fc5\u70ba 120 \u5143", "\u55ae\u9ede\u4e00\u7247\u96de\u6392\u7684\u50f9\u9322\u5fc5\u70ba 70 \u5143"], "metadata": {"timestamp": 112, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_61", "question": "\u7b97\u5f0f $-6+2 \\times [16-(-32) \\div 8]$ \u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["3"], "incorrect_choices": ["-24", "-4", "30"], "metadata": {"timestamp": 102, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_62", "question": "\u6578\u7dda\u4e0aA\u3001B\u5169\u9ede\u6240\u8868\u793a\u7684\u6578\u5206\u5225\u70baa\u3001b\uff0c\u4e14$a<b$, $|a-b|=9$\u3002\u82e5\u5f9eA\u9ede\u5411\u53f3\u79fb\u52d53\u55ae\u4f4d\u5230\u9054C\u9ede\uff0c\u5247B\u3001C\u5169\u9ede\u7684\u8ddd\u96e2\u70ba\u4f55\uff1f ", "correct_choices": ["6"], "incorrect_choices": ["3", "9", "12"], "metadata": {"timestamp": 102, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_63", "question": "\u82e5 A\u3001\uff22\u5206\u5225\u8868\u793a\u591a\u9805\u5f0f $2x=3$\u8207$3x+1$\uff0c\u5247$\\frac{3A+B}{2}-\\frac{A-3B}{3}$\u8207\u4e0b\u5217\u54ea\u4e00\u500b\u5f0f\u5b50\u76f8\u540c\uff1f", "correct_choices": ["$\\frac{41x-12}{6}$"], "incorrect_choices": ["$\\frac{13x-12}{6}$", "$\\frac{13x-36}{6}$", "$\\frac{41x-36}{6}$"], "metadata": {"timestamp": 102, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_64", "question": "\u572830~50\u7684\u6b63\u6574\u6578\u4e2d\uff0c\u5c07\u820748\u4e92\u8cea\u7684\u6578\u7531\u5c0f\u5230\u5927\u6392\u5217\uff0c\u5247\u7b2c5\u500b\u6578\u70ba\u4f55\uff1f", "correct_choices": ["43"], "incorrect_choices": ["37", "41", "47"], "metadata": {"timestamp": 102, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_65", "question": "\u7b97\u5f0f $\\frac{6}{\\sqrt{7}-\\sqrt{5}} - \\frac{12}{\\sqrt{11}+\\sqrt{5}}$\u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["$3\\sqrt{7} + 5\\sqrt{5} - 2\\sqrt{11}$"], "incorrect_choices": ["$3\\sqrt{2}-3$", "$6\\sqrt{3} - 2\\sqrt{6}$", "$3\\sqrt{7} - 5\\sqrt{5} - 2\\sqrt{11}$"], "metadata": {"timestamp": 102, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_66", "question": "\u5df2\u77e5\u4e00\u7b49\u5dee\u6578\u5217\u7684\u516c\u5dee\u662f2\uff0c\u524d20\u9805\u548c\u662f500\uff0c\u6c42\u6b64\u7b49\u5dee\u6578\u5217\u7684\u9996\u9805\u70ba\u4f55\uff1f", "correct_choices": ["6"], "incorrect_choices": ["5", "10", "12"], "metadata": {"timestamp": 102, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_67", "question": "\u5df2\u77e5\u5728KTV\u5531\u6b4c\u6d88\u8cbb\uff0c\u9664\u4e86\u5531\u6b4c\u7684\u8cbb\u7528\u5916\uff0c\u9084\u9700\u591a\u4ed810%\u7684\u670d\u52d9\u8cbb\u3002\u82e5\u5c0f\u660e\u5728KTV\u5531\u6b4c\uff0c\u542b\u670d\u52d9\u8cbb\u5171\u82b1\u4e86x\u5143\uff0c\u5247\u4ed6\u4ed8\u7684\u670d\u52d9\u8cbb\u53ef\u7528\u4e0b\u5217\u54ea\u4e00\u500b\u5f0f\u5b50\u8868\u793a\uff1f", "correct_choices": ["$\\frac{1}{11}x$"], "incorrect_choices": ["$\\frac{1}{10}x$", "$\\frac{9}{10}x$", "$\\frac{9}{11}x$"], "metadata": {"timestamp": 102, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_68", "question": "\u5ea7\u6a19\u5e73\u9762\u4e0a\u6709\u4e00\u77e9\u5f62ABCD\uff0c\u5176\u4e2d\u76f4\u7ddaAC\u7684\u65b9\u7a0b\u5f0f\u70bax+2y=7\u3002\u82e5B\u9ede\u5ea7\u6a19\u70ba(1,1)\uff0c\u4e14AB\u8207y\u8ef8\u5e73\u884c\uff0c\u5247D\u9ede\u5ea7\u6a19\u70ba\u4f55\uff1f", "correct_choices": ["(5,3)"], "incorrect_choices": ["(1,3)", "(3,5)", "(5,1)"], "metadata": {"timestamp": 102, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_69", "question": "\u7b97\u5f0f$2 \\times (2000^{2}-1) - 2001^{2} -1999^{2}$\u4e4b\u503c\u70ba\u4f55\uff1f", "correct_choices": ["-4"], "incorrect_choices": ["4", "7998", "-8002"], "metadata": {"timestamp": 102, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_70", "question": "\u82e5\u5e72\u5c0d\u592b\u59bb\u53c3\u52a0\u65b0\u5a5a\u5ea7\u8ac7\u6703\uff0c\u5ea7\u8ac7\u6703\u6709\u63d0\u4f9b\u53c3\u52a0\u7684\u592b\u59bb\u6bcf\u4eba\u4e00\u676f\u98f2\u6599\uff0c\u5176\u4e2d\u98f2\u6599\u6709\u8336\u3001\u5496\u5561\u3001\u679c\u6c41\u4e09\u7a2e\u9078\u64c7\u3002\u82e5\u5ea7\u8ac7\u6703\u4e2d\u4e08\u592b\u9078\u64c7\u8336\u3001\u5496\u5561\u3001\u679c\u6c41\u7684\u676f\u6578\u6bd4\u70ba5:3:2\uff0c\u59bb\u5b50\u9078\u64c7\u8336\u3001\u5496\u5561\u3001\u679c\u6c41\u7684\u676f\u6578\u6bd4\u70ba2:2:1\uff0c\u5247\u6240\u6709\u53c3\u52a0\u8005\u9078\u64c7\u8336\u3001\u5496\u5561\u3001\u679c\u6c41\u7684\u676f\u6578\u6bd4\u70ba\u4f55\uff1f", "correct_choices": ["9 : 7 : 4"], "incorrect_choices": ["7 : 5 : 3", "16 : 12 : 7", "20 : 16 : 9"], "metadata": {"timestamp": 102, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_71", "question": "\u5224\u65b7\u4e0b\u5217\u5404\u5f0f\u7684\u503c\uff0c\u4f55\u8005\u6700\u5c0f\uff1f", "correct_choices": ["$8 - (- \\frac{13}{29})^{14}$"], "incorrect_choices": ["$8 - (- \\frac{13}{29})^{11}$", "$8 - (- \\frac{13}{29})^{17}$", "$8 - (- \\frac{13}{29})^{20}$"], "metadata": {"timestamp": 102, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_72", "question": "\u7b97\u5f0f $(\\sqrt{6}+ \\sqrt{10} \u00d7 \\sqrt{15})\u00d7 \\sqrt{3}$ \u4e4b\u503c\u70ba\u4f55?", "correct_choices": ["$18\\sqrt{2}$"], "incorrect_choices": ["$2\\sqrt{42}$", "$12\\sqrt{5}$", "$12\\sqrt{13}$"], "metadata": {"timestamp": 103, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_73", "question": "\u82e5A\u70ba\u4e00\u6578\uff0c\u4e14A = $2^{5} \u00d7 7^{6} \u00d7 11^{4}$\uff0c\u5247\u4e0b\u5217\u9078\u9805\u4e2d\u6240\u8868\u793a\u7684\u6578\uff0c\u4f55\u8005\u662fA\u7684\u56e0\u6578?", "correct_choices": ["$2^{4} \\times 7^{4} \\times 11^{4}$"], "incorrect_choices": ["$2^{4} \\times 5$", "$7^{7} \\times 11^{3}$", "$2^{6} \\times 7^{6} \\times 11^{6}$"], "metadata": {"timestamp": 103, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_74", "question": "\u6709\u4e00\u7bb1\u5b50\u88dd\u6709 3 \u5f35\u5206\u5225\u6a19\u793a 4 \u30015 \u30016 \u7684\u865f\u78bc\u724c\uff0c\u5df2\u77e5\u5c0f\u6b66\u4ee5\u6bcf\u6b21\u53d6\u4e00\u5f35\u4e14\u53d6 \u5f8c\u4e0d\u653e\u56de\u7684\u65b9\u5f0f\uff0c\u5148\u5f8c\u53d6\u51fa 2 \u5f35\u724c\uff0c\u7d44\u6210\u4e00\u500b\u4e8c\u4f4d\u6578\uff0c\u53d6\u51fa\u7b2c 1 \u5f35\u724c\u7684\u865f\u78bc\u70ba \u5341\u4f4d\u6578\uff0c\u7b2c 2 \u5f35\u724c\u7684\u865f\u78bc\u70ba\u500b\u4f4d\u6578\u3002\u82e5\u5148\u5f8c\u53d6\u51fa 2 \u5f35\u724c\u7d44\u6210\u4e8c\u4f4d\u6578\u7684\u6bcf\u4e00\u7a2e \u7d50\u679c\u767c\u751f\u7684\u6a5f\u6703\u90fd\u76f8\u540c\uff0c\u5247\u7d44\u6210\u7684\u4e8c\u4f4d\u6578\u70ba 6 \u7684\u500d\u6578\u7684\u6a5f\u7387\u70ba\u4f55?", "correct_choices": ["$\\frac{1}{6}$"], "incorrect_choices": ["$\\frac{1}{4}$", "$\\frac{1}{3}$", "$\\frac{1}{2}$"], "metadata": {"timestamp": 103, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_75", "question": "\u7b97\u5f0f 743 \u00d7 369 \u2212 741 \u00d7 370 \u4e4b\u503c\u70ba\u4f55?", "correct_choices": ["-3"], "incorrect_choices": ["-2", "2", "3"], "metadata": {"timestamp": 103, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_76", "question": "\u82e5\u4e8c\u5143\u4e00\u6b21\u806f\u7acb\u65b9\u7a0b\u5f0f $5x-y=5, y=\\frac{1}{5}x$ \u7684\u89e3\u70bax=a\uff0cy=b\uff0c\u5247a+b\u4e4b\u503c\u70ba\u4f55?", "correct_choices": ["$\\frac{5}{4}$"], "incorrect_choices": ["$\\frac{75}{13}$", "$\\frac{31}{25}$", "$\\frac{29}{25}$"], "metadata": {"timestamp": 103, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_77", "question": "\u5df2\u77e5\u679c\u8fb2\u8ca9\u8ce3\u7684\u756a\u8304\uff0c\u5176\u91cd\u91cf\u8207\u50f9\u9322\u6210\u7dda\u578b\u51fd\u6578\u95dc\u4fc2\uff0c\u4eca\u5c0f\u83ef\u5411\u679c\u8fb2\u8cb7\u4e00\u7af9\u7c43 \u7684\u756a\u8304\uff0c\u542b\u7af9\u7c43\u79e4\u5f97\u7e3d\u91cd\u91cf\u70ba 15 \u516c\u65a4\uff0c\u4ed8\u756a\u8304\u7684\u9322 250 \u5143\u3002\u82e5\u4ed6\u518d\u52a0\u8cb7 0.5 \u516c\u65a4\u7684\u756a\u8304\uff0c\u9700\u591a\u4ed8 10 \u5143\uff0c\u5247\u7a7a\u7af9\u7c43\u7684\u91cd\u91cf\u70ba\u591a\u5c11\u516c\u65a4?", "correct_choices": ["2.5"], "incorrect_choices": ["1.5", "2", "3"], "metadata": {"timestamp": 103, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_78", "question": "\u5c0f\u660e\u5728\u7db2\u8def\u4e0a\u641c\u5c0b\u5230\u6c34\u8cc7\u6e90\u7684\u8cc7\u6599\u5982\u4e0b:\u300c\u5730\u7403\u4e0a\u6c34\u7684\u7e3d\u5132\u91cf\u70ba $1.36 \\times 10^{18}$ \u7acb\u65b9\u516c\u5c3a\uff0c\u5176\u4e2d\u53ef\u4f9b\u4eba\u985e\u4f7f\u7528\u7684\u6de1\u6c34\u53ea\u5360\u5168\u90e8\u7684 0.3%\u3002\u300d\u6839\u64da\u4ed6\u641c\u5c0b\u5230\u7684\u8cc7 \u6599\uff0c\u5224\u65b7\u53ef\u4f9b\u4eba\u985e\u4f7f\u7528\u7684\u6de1\u6c34\u6709\u591a\u5c11\u7acb\u65b9\u516c\u5c3a?", "correct_choices": ["$4.08 \\times 10^{15}$"], "incorrect_choices": ["$4.08 \\times 10^{14}$", "$4.08 \\times 10^{16}$", "$4.08 \\times 10^{17}$"], "metadata": {"timestamp": 103, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_79", "question": "\u8a08\u7b97\u591a\u9805\u5f0f $10x^{3} + 7x^{2} + 15x \u2212 5$ \u9664\u4ee5 5x^{2} \u5f8c\uff0c\u5f97\u9918\u5f0f\u70ba\u4f55?", "correct_choices": ["$15x-5$"], "incorrect_choices": ["$\\frac{15x-5}{5x^{2}}$", "$2x^{2}+15x-5$", "$3x-1$"], "metadata": {"timestamp": 103, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_80", "question": "$(3x+2)(\u2212x^{6}+3x^{5})+(3x+2)(\u22122x^{6}+x^{5})+(x+1)(3x^{6}\u22124x^{5})$ \u8207\u4e0b\u5217\u54ea \u4e00\u500b\u5f0f\u5b50\u76f8\u540c?", "correct_choices": ["$-( 3x^{6} \u2212 4x^{5} )( 2x + 1 )$"], "incorrect_choices": ["$( 3x^{6} \u2212 4x^{5} )( 2x + 1 )$", "$( 3x^{6} \u2212 4x^{5} )( 2x + 3 )$", "$-( 3x^{6} \u2212 4x^{5} )( 2x + 3 )$"], "metadata": {"timestamp": 103, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_81", "question": "\u82e5\u6709\u4e00\u7b49\u5dee\u6578\u5217\uff0c\u524d\u4e5d\u9805\u548c\u70ba 54\uff0c\u4e14\u7b2c\u4e00\u9805\u3001\u7b2c\u56db\u9805\u3001\u7b2c\u4e03\u9805\u7684\u548c\u70ba 36 \uff0c \u5247\u6b64\u7b49\u5dee\u6578\u5217\u7684\u516c\u5dee\u70ba\u4f55?", "correct_choices": ["-6"], "incorrect_choices": ["-3", "3", "6"], "metadata": {"timestamp": 103, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_82", "question": "\u6709\u7532\u3001\u4e59\u5169\u500b\u7bb1\u5b50\uff0c\u5176\u4e2d\u7532\u7bb1\u5167\u6709 98 \u9846\u7403\uff0c\u5206\u5225\u6a19\u8a18\u865f\u78bc 1 ~ 98 \uff0c\u4e14\u865f\u78bc\u70ba \u4e0d\u91cd\u8907\u7684\u6574\u6578\uff0c\u4e59\u7bb1\u5167\u6c92\u6709\u7403\u3002\u5df2\u77e5\u5c0f\u80b2\u5f9e\u7532\u7bb1\u5167\u62ff\u51fa 49 \u9846\u7403\u653e\u5165\u4e59\u7bb1\u5f8c\uff0c \u4e59\u7bb1\u5167\u7403\u7684\u865f\u78bc\u7684\u4e2d\u4f4d\u6578\u70ba 40\u3002\u82e5\u6b64\u6642\u7532\u7bb1\u5167\u6709 a \u9846\u7403\u7684\u865f\u78bc\u5c0f\u65bc 40 \uff0c\u6709 b \u9846\u7403\u7684\u865f\u78bc\u5927\u65bc 40 \uff0c\u5247\u95dc\u65bc a \u3001 b \u4e4b\u503c\uff0c\u4e0b\u5217\u4f55\u8005\u6b63\u78ba?", "correct_choices": ["b = 34"], "incorrect_choices": ["a = 16", "a = 24", "b = 24"], "metadata": {"timestamp": 103, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_83", "question": "\u5df2\u77e5 a\u3001h\u3001k \u70ba\u4e09\u6578\uff0c\u4e14\u4e8c\u6b21\u51fd\u6578 $y = a( x \u2212 h )^{2} + k$ \u5728\u5750\u6a19\u5e73\u9762\u4e0a\u7684\u5716\u5f62\u901a \u904e(0,5 )\u3001(10,8 )\u5169\u9ede\u3002\u82e5$a<0$\uff0c$0<h<10$\uff0c\u5247h\u4e4b\u503c\u53ef\u80fd\u70ba\u4e0b\u5217\u4f55\u8005?", "correct_choices": ["7"], "incorrect_choices": ["1", "3", "5"], "metadata": {"timestamp": 103, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_84", "question": "\u7b97\u5f0f$(\u22121 \\frac{1}{2}) \\times (\u22123 \\frac{1}{4}) \\times \\frac{2}{3}$\u4e4b\u503c\u70ba\u4f55?", "correct_choices": ["$\\frac{13}{4}$"], "incorrect_choices": ["$\\frac{1}{4}$", "$\\frac{11}{12}$", "$\\frac{11}{4}$"], "metadata": {"timestamp": 104, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_85", "question": "\u7b97\u5f0f $(\u22123)^{4} \u2212 7^{2} \u2212 \\frac{2^{6}}{(\u22122)^{3}}$ \u4e4b\u503c\u70ba\u4f55?", "correct_choices": ["40"], "incorrect_choices": ["-138", "-122", "24"], "metadata": {"timestamp": 104, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_86", "question": "\u8a08\u7b97\u591a\u9805\u5f0f $\u22122x (3x \u2212 2)^{2} + 3$ \u9664\u4ee5 $3x \u2212 2$ \u5f8c\uff0c\u6240\u5f97\u5546\u5f0f\u8207\u9918\u5f0f\u5169\u8005\u4e4b\u548c\u70ba\u4f55?", "correct_choices": ["$$\u22126x^{2} +4x+3"], "incorrect_choices": ["$\u22122x + 3$", "$\u22126x^{2} + 4x$", "$\u22126x^{2} \u22124x+3$"], "metadata": {"timestamp": 104, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_87", "question": "\u4e0b\u5217\u54ea\u4e00\u500b\u9078\u9805\u4e2d\u7684\u7b49\u5f0f\u4e0d\u6210\u7acb?", "correct_choices": ["$ \\sqrt{(\u22125)^{6}} = (\u22125)^{3}$"], "incorrect_choices": ["$ \\sqrt{3^{8}}=3^{4}$", "$ \\sqrt{3^{4} \\times 5^{10}}= 3^{2} \\times 5^5$", "$ \\sqrt{(-3)^{4} \\times (-5)^{8}}= (-3)^{2} \\times (-5)^4$"], "metadata": {"timestamp": 104, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_88", "question": "\u5224\u65b7\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0f $x^{2} \u2212 8x \u2212 a = 0$ \u4e2d\u7684 a \u70ba\u4e0b\u5217\u54ea\u4e00\u500b\u6578\u6642\uff0c\u53ef\u4f7f\u5f97\u6b64 \u65b9\u7a0b\u5f0f\u7684\u5169\u6839\u5747\u70ba\u6574\u6578?", "correct_choices": ["20"], "incorrect_choices": ["12", "16", "24"], "metadata": {"timestamp": 104, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_89", "question": "\u5224\u65b7\u4e0b\u5217\u5404\u5f0f\u7684\u503c\uff0c\u4f55\u8005\u6700\u5927?", "correct_choices": ["$16 \\times 17^{2} \u221218^{2}$"], "incorrect_choices": ["$25 \\times 13^{2} \u221215^{2}$", "$9 \\times 21^{2} \u221213^{2}$", "$4 \\times 31^{2} \u221212^{2}$"], "metadata": {"timestamp": 104, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_90", "question": "\u5750\u6a19\u5e73\u9762\u4e0a\uff0c\u4e8c\u6b21\u51fd\u6578 $y = \u2212x^{2} + 6x \u2212 9$ \u7684\u5716\u5f62\u7684\u9802\u9ede\u70ba A\uff0c\u4e14\u6b64\u51fd\u6578\u5716\u5f62\u8207 y \u8ef8\u4ea4\u65bc B \u9ede\u3002\u82e5\u5728\u6b64\u51fd\u6578\u5716\u5f62\u4e0a\u53d6\u4e00\u9ede C\uff0c\u5728 x \u8ef8\u4e0a\u53d6\u4e00\u9ede D \uff0c\u4f7f\u5f97 \u56db\u908a\u5f62 ABCD \u70ba\u5e73\u884c\u56db\u908a\u5f62\uff0c\u5247 D \u9ede\u5750\u6a19\u70ba\u4f55?", "correct_choices": ["(9,0)"], "incorrect_choices": ["(6,0)", "(-6,0)", "(-9,0)"], "metadata": {"timestamp": 104, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_91", "question": "\u5df2\u77e5\u7532\u6821\u539f\u6709 1016 \u4eba\uff0c\u4e59\u6821\u539f\u6709 1028 \u4eba\uff0c\u5bd2\u5047\u671f\u9593\u7532\u3001\u4e59\u5169\u6821\u4eba\u6578\u8b8a\u52d5\u7684 \u539f\u56e0\u53ea\u6709\u8f49\u51fa\u8207\u8f49\u5165\u5169\u7a2e\uff0c\u4e14\u8f49\u51fa\u7684\u4eba\u6578\u6bd4\u70ba 1 : 3\uff0c\u8f49\u5165\u7684\u4eba\u6578\u6bd4\u4e5f\u70ba 1 : 3\u3002 \u82e5\u5bd2\u5047\u7d50\u675f\u958b\u5b78\u6642\u7532\u3001\u4e59\u5169\u6821\u4eba\u6578\u76f8\u540c\uff0c\u5247\u4e59\u6821\u958b\u5b78\u6642\u7684\u4eba\u6578\u8207\u539f\u6709\u7684\u4eba\u6578 \u76f8\u5dee\u591a\u5c11?", "correct_choices": ["18"], "incorrect_choices": ["6", "9", "12"], "metadata": {"timestamp": 104, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_92", "question": "\u5c07\u7532\u3001\u4e59\u3001\u4e19\u4e09\u500b\u6b63\u5206\u6578\u5316\u70ba\u6700\u7c21\u5206\u6578\u5f8c\uff0c\u5176\u5206\u5b50\u5206\u5225\u70ba6\u300115\u300110\uff0c \u5176\u5206\u6bcd\u7684\u6700\u5c0f\u516c\u500d\u6578\u70ba 360\u3002\u5224\u65b7\u7532\u3001\u4e59\u3001\u4e19\u4e09\u6578\u7684\u5927\u5c0f\u95dc\u4fc2\u70ba\u4f55?", "correct_choices": ["\u4e59 > \u7532 > \u4e19"], "incorrect_choices": ["\u4e59 > \u4e19 > \u7532", "\u7532 > \u4e59 > \u4e19", "\u7532 > \u4e19 > \u4e59"], "metadata": {"timestamp": 104, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_93", "question": "x=\u22123\uff0cy=1\u70ba\u4e0b\u5217\u54ea\u4e00\u500b\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u5f0f\u7684\u89e3?", "correct_choices": ["$x + 2y = \u22121$"], "incorrect_choices": ["$x \u2212 2y = 1$", "$2x + 3y = 6$", "$2x \u2212 3y = \u22126$"], "metadata": {"timestamp": 105, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_94", "question": "\u7b97\u5f0f$[\u22125\u2212(\u221211)] \\div (\\frac{3}{2} \\times 4)$\u4e4b\u503c\u70ba\u4f55?", "correct_choices": ["1"], "incorrect_choices": ["16", "$-\\frac{8}{3}$", "$-\\frac{128}{3}$"], "metadata": {"timestamp": 105, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_95", "question": "\u8a08\u7b97$(2x+1)(x\u22121)\u2212(x^{2} +x\u22122)$\u7684\u7d50\u679c\uff0c\u8207\u4e0b\u5217\u54ea\u4e00\u500b\u5f0f\u5b50\u76f8\u540c?", "correct_choices": ["$x^{2} \u22122x+1$"], "incorrect_choices": ["$x^{2} \u22122x-3$", "$x^{2} +x-3$", "$x^{2} \u22123$"], "metadata": {"timestamp": 105, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_96", "question": "\u591a\u9805\u5f0f$77x^{2} \u221213x\u221230$\u53ef\u56e0\u5f0f\u5206\u89e3\u6210$(7x+a)(bx+c)$\uff0c\u5176\u4e2da\u3001b\u3001c\u5747\u70ba \u6574\u6578\uff0c\u6c42 a + b + c \u4e4b\u503c\u70ba\u4f55?", "correct_choices": ["12"], "incorrect_choices": ["0", "10", "22"], "metadata": {"timestamp": 105, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_97", "question": "\u5c0f\u6631\u548c\u963f\u5e06\u5747\u5f9e\u540c\u4e00\u672c\u66f8\u7684\u7b2c 1 \u9801\u958b\u59cb\uff0c\u9010\u9801\u4f9d\u9806\u5e8f\u5728\u6bcf\u4e00\u9801\u4e0a\u5beb\u4e00\u500b\u6578\u3002\u5c0f\u6631 \u5728\u7b2c 1 \u9801\u5beb 1\uff0c\u4e14\u4e4b\u5f8c\u6bcf\u4e00\u9801\u5beb\u7684\u6578\u5747\u70ba\u4ed6\u5728\u524d\u4e00\u9801\u5beb\u7684\u6578\u52a0 2;\u963f\u5e06\u5728\u7b2c 1 \u9801 \u5beb 1\uff0c\u4e14\u4e4b\u5f8c\u6bcf\u4e00\u9801\u5beb\u7684\u6578\u5747\u70ba\u4ed6\u5728\u524d\u4e00\u9801\u5beb\u7684\u6578\u52a0 7\u3002\u82e5\u5c0f\u6631\u5728\u67d0\u9801\u5beb\u7684\u6578\u70ba 101\uff0c\u5247\u963f\u5e06\u5728\u8a72\u9801\u5beb\u7684\u6578\u70ba\u4f55?", "correct_choices": ["351"], "incorrect_choices": ["350", "356", "358"], "metadata": {"timestamp": 105, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_98", "question": "\u7532\u7bb1\u5167\u67094\u9846\u7403\uff0c\u984f\u8272\u5206\u5225\u70ba\u7d05\u3001\u9ec3\u3001\u7da0\u3001\u85cd;\u4e59\u7bb1\u5167\u67093\u9846\u7403\uff0c\u984f\u8272\u5206\u5225 \u70ba\u7d05\u3001\u9ec3\u3001\u9ed1\u3002\u5c0f\u8cf4\u6253\u7b97\u540c\u6642\u5f9e\u7532\u3001\u4e59\u5169\u500b\u7bb1\u5b50\u4e2d\u5404\u62bd\u51fa\u4e00\u9846\u7403\uff0c\u82e5\u540c\u4e00\u7bb1\u4e2d \u6bcf\u7403\u88ab\u62bd\u51fa\u7684\u6a5f\u6703\u76f8\u7b49\uff0c\u5247\u5c0f\u8cf4\u62bd\u51fa\u7684\u5169\u9846\u7403\u984f\u8272\u76f8\u540c\u7684\u6a5f\u7387\u70ba\u4f55?", "correct_choices": ["$\\frac{1}{6}$"], "incorrect_choices": ["$\\frac{1}{3}$", "$\\frac{2}{7}$", "$\\frac{7}{12}$"], "metadata": {"timestamp": 105, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_99", "question": "\u5750\u6a19\u5e73\u9762\u4e0a\u6709\u4e00\u500b\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u5f0f\u7684\u5716\u5f62\uff0c\u6b64\u5716\u5f62\u901a\u904e ( \u2212 3 , 0 )\u3001( 0 , \u2212 5 ) \u5169\u9ede\u3002 \u5224\u65b7\u6b64\u5716\u5f62\u8207\u4e0b\u5217\u54ea\u4e00\u500b\u65b9\u7a0b\u5f0f\u7684\u5716\u5f62\u7684\u4ea4\u9ede\u5728\u7b2c\u4e09\u8c61\u9650?", "correct_choices": ["y + 4 = 0"], "incorrect_choices": ["x \u2212 4 = 0", "x + 4 = 0", "y \u2212 4 = 0"], "metadata": {"timestamp": 105, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_100", "question": "\u82e5\u4e00\u6b63\u65b9\u5f62\u7684\u9762\u7a4d\u70ba20\u5e73\u65b9\u516c\u5206\uff0c\u5468\u9577\u70bax\u516c\u5206\uff0c\u5247x\u7684\u503c\u4ecb\u65bc\u4e0b\u5217\u54ea\u5169\u500b \u6574\u6578\u4e4b\u9593?", "correct_choices": ["1718"], "incorrect_choices": ["1617", "1819", "1920"], "metadata": {"timestamp": 105, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_101", "question": "\u5df2\u77e5 a\u3001b\u3001c \u70ba\u4e09\u6b63\u6574\u6578\uff0c\u4e14 a\u3001b \u7684\u6700\u5927\u516c\u56e0\u6578\u70ba 12\uff0ca\u3001c \u7684\u6700\u5927\u516c\u56e0\u6578 \u70ba 18\u3002\u82e5 a \u4ecb\u65bc 50 \u8207 100 \u4e4b\u9593\uff0c\u5247\u4e0b\u5217\u6558\u8ff0\u4f55\u8005\u6b63\u78ba?", "correct_choices": ["8 \u662f a \u7684\u56e0\u6578\uff0c8 \u4e0d\u662f b \u7684\u56e0\u6578"], "incorrect_choices": ["8 \u662f a \u7684\u56e0\u6578\uff0c8 \u662f b \u7684\u56e0\u6578", "8 \u4e0d\u662f a \u7684\u56e0\u6578\uff0c8 \u662f c \u7684\u56e0\u6578", "8 \u4e0d\u662f a \u7684\u56e0\u6578\uff0c8 \u4e0d\u662f c \u7684\u56e0\u6578"], "metadata": {"timestamp": 105, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_102", "question": "\u5750\u6a19\u5e73\u9762\u4e0a\uff0c\u67d0\u4e8c\u6b21\u51fd\u6578\u5716\u5f62\u7684\u9802\u9ede\u70ba(2,\u22121)\uff0c\u6b64\u51fd\u6578\u5716\u5f62\u8207x\u8ef8\u76f8\u4ea4\u65bcP\u3001Q \u5169\u9ede\uff0c\u4e14 $\\overline{PQ} = 6$ \u3002\u82e5\u6b64\u51fd\u6578\u5716\u5f62\u901a\u904e ( 1 , a )\u3001( 3 , b )\u3001( \u22121 , c )\u3001( \u22123 , d ) \u56db\u9ede\uff0c\u5247 a\u3001b \u3001c \u3001d \u4e4b\u503c\u4f55\u8005\u70ba\u6b63?", "correct_choices": ["d"], "incorrect_choices": ["a", "b", "c"], "metadata": {"timestamp": 105, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_103", "question": "\u7b97\u5f0f$(\u22122) \\times |\u22125| \u2212 |\u22123|$ \u4e4b\u503c\u70ba\u4f55?", "correct_choices": ["-13"], "incorrect_choices": ["13", "7", "-7"], "metadata": {"timestamp": 106, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_104", "question": "\u4e0b\u5217\u54ea\u4e00\u500b\u9078\u9805\u4e2d\u7684\u7b49\u5f0f\u6210\u7acb?", "correct_choices": ["$\\sqrt{2^{2}} = 2$"], "incorrect_choices": ["$\\sqrt{3^{3}} = 2$", "$\\sqrt{4^{4}} = 4$", "$\\sqrt{5^{5}} = 5$"], "metadata": {"timestamp": 106, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_105", "question": "\u8a08\u7b97 $6x \\dot (3 \u2212 2x)$ \u7684\u7d50\u679c\uff0c\u8207\u4e0b\u5217\u54ea\u4e00\u500b\u5f0f\u5b50\u76f8\u540c?", "correct_choices": ["$\u221212x^{2} + 18x$"], "incorrect_choices": ["$\u221212x^{2} + 3$", "$16x$", "$6x$"], "metadata": {"timestamp": 106, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_106", "question": "\u5df2\u77e5\u5750\u6a19\u5e73\u9762\u4e0a\u6709\u5169\u76f4\u7dda\u76f8\u4ea4\u65bc\u4e00\u9ede (2,a)\uff0c\u4e14\u5169\u76f4\u7dda\u7684\u65b9\u7a0b\u5f0f\u5206\u5225\u70ba $2x + 3y = 7$\u3001$3x \u2212 2y = b$\uff0c\u5176\u4e2d a\u3001b \u70ba\u5169\u6578\u3002\u6c42 a + b \u4e4b\u503c\u70ba\u4f55?", "correct_choices": ["5"], "incorrect_choices": ["1", "-1", "-5"], "metadata": {"timestamp": 106, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_107", "question": "\u963f\u4fe1\u3001\u5c0f\u6021\u5169\u4eba\u6253\u7b97\u642d\u4e58\u540c\u4e00\u73ed\u6b21\u96fb\u8eca\u4e0a\u5b78\u3002\u82e5\u6b64\u73ed\u6b21\u96fb\u8eca\u5171\u6709 5 \u7bc0\u8eca\u5ec2\uff0c\u4e14 \u963f\u4fe1\u5f9e\u4efb\u610f\u4e00\u7bc0\u8eca\u5ec2\u4e0a\u8eca\u7684\u6a5f\u6703\u76f8\u7b49\uff0c\u5c0f\u6021\u5f9e\u4efb\u610f\u4e00\u7bc0\u8eca\u5ec2\u4e0a\u8eca\u7684\u6a5f\u6703\u76f8\u7b49\uff0c \u5247\u5169\u4eba\u5f9e\u540c\u4e00\u7bc0\u8eca\u5ec2\u4e0a\u8eca\u7684\u6a5f\u7387\u70ba\u4f55?", "correct_choices": ["$\\frac{1}{5}$"], "incorrect_choices": ["$\\frac{1}{2}$", "$\\frac{1}{10}$", "$\\frac{1}{25}$"], "metadata": {"timestamp": 106, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_108", "question": "\u5e73\u9762\u4e0a\u6709 A\u3001B\u3001C \u4e09\u9ede\uff0c\u5176\u4e2d AB = 3\uff0cBC = 4\uff0cAC = 5\u3002\u82e5\u5206\u5225\u4ee5 A\u3001B\u3001C \u70ba\u5713\u5fc3\uff0c\u534a\u5f91\u9577\u70ba 2 \u756b\u5713\uff0c\u756b\u51fa\u5713 A\u3001\u5713 B\u3001\u5713 C\uff0c\u5247\u4e0b\u5217\u6558\u8ff0\u4f55\u8005\u6b63\u78ba?", "correct_choices": ["\u5713 A \u8207\u5713 C \u5916\u96e2\uff0c\u5713 B \u8207\u5713 C \u5916\u5207"], "incorrect_choices": ["\u5713 A \u8207\u5713 C \u5916\u5207\uff0c\u5713 B \u8207\u5713 C \u5916\u5207", "\u5713 A \u8207\u5713 C \u5916\u5207\uff0c\u5713 B \u8207\u5713 C \u5916\u96e2", "\u5713 A \u8207\u5713 C \u5916\u96e2\uff0c\u5713 B \u8207\u5713 C \u5916\u96e2"], "metadata": {"timestamp": 106, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_109", "question": "\u4e0b\u5217\u9078\u9805\u4e2d\u6240\u8868\u793a\u7684\u6578\uff0c\u54ea\u4e00\u500b\u8207 252 \u7684\u6700\u5927\u516c\u56e0\u6578\u70ba 42 ?", "correct_choices": ["$2 \u00d7 3 \u00d7 5^{2} \u00d7 7^{2}$"], "incorrect_choices": ["$2 \u00d7 3^{2} \u00d7 5 \u00d7 7^{2}$", "$2^{2} \u00d7 3 \u00d7 5^{2} \u00d7 7$", "$2^{2} \u00d7 3^{2} \u00d7 5 \u00d7 7$"], "metadata": {"timestamp": 106, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_110", "question": "\u67d0\u9ad8\u4e2d\u7684\u7c43\u7403\u968a\u6210\u54e1\u4e2d\uff0c\u4e00\u3001\u4e8c\u5e74\u7d1a\u7684\u6210\u54e1\u5171\u6709 8 \u4eba\uff0c\u4e09\u5e74\u7d1a\u7684\u6210\u54e1\u6709 3 \u4eba\u3002 \u4e00\u3001\u4e8c\u5e74\u7d1a\u7684\u6210\u54e1\u8eab\u9ad8 ( \u55ae\u4f4d:\u516c\u5206 ) \u5982\u4e0b:\n172\u3001172\u3001174\u3001174\u3001176\u3001176\u3001178\u3001178\u3002 \u82e5\u968a\u4e2d\u6240\u6709\u6210\u54e1\u7684\u5e73\u5747\u8eab\u9ad8\u70ba 178 \u516c\u5206\uff0c\u5247\u968a\u4e2d\u4e09\u5e74\u7d1a\u6210\u54e1\u7684\u5e73\u5747\u8eab\u9ad8\u70ba\u5e7e\u516c\u5206?", "correct_choices": ["186"], "incorrect_choices": ["178", "181", "183"], "metadata": {"timestamp": 106, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_111", "question": "\u5df2\u77e5\u5728\u5361\u6a02\u8299\u8d85\u5e02\u5167\u8cfc\u7269\u7e3d\u91d1\u984d\u8d85\u904e 190 \u5143\u6642\uff0c \u8cfc\u7269\u7e3d\u91d1\u984d\u6709\u6253\u516b\u6298\u7684\u512a\u60e0\u3002 \u5b89\u59ae\u5e36 200 \u5143\u5230\u5361\u6a02\u8299\u8d85\u5e02\u8cb7\u68d2\u68d2\u7cd6\uff0c\u82e5\u68d2\u68d2\u7cd6\u6bcf\u6839 9 \u5143\uff0c\u5247\u5979\u6700\u591a\u53ef\u8cb7\u591a\u5c11 \u6839\u68d2\u68d2\u7cd6?", "correct_choices": ["27"], "incorrect_choices": ["22", "23", "28"], "metadata": {"timestamp": 106, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_112", "question": "\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0f$x^{2}\u22128x=48$\u53ef\u8868\u793a\u6210$(x\u2212a)^{2}=48+b$\u7684\u5f62\u5f0f\uff0c\u5176\u4e2da\u3001b \u70ba\u6574\u6578\u3002\u6c42 a + b \u4e4b\u503c\u70ba\u4f55?", "correct_choices": ["20"], "incorrect_choices": ["12", "-12", "-20"], "metadata": {"timestamp": 106, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_113", "question": "\u5a01\u7acb\u5230\u5c0f\u5403\u5e97\u8cb7\u6c34\u9903\uff0c\u4ed6\u8eab\u4e0a\u5e36\u7684\u9322\u6070\u597d\u7b49\u65bc 15 \u7c92\u8766\u4ec1\u6c34\u9903\u6216 20 \u7c92\u97ed\u83dc \u6c34\u9903\u7684\u50f9\u9322\u3002\u82e5\u5a01\u7acb\u5148\u8cb7\u4e86 9 \u7c92\u8766\u4ec1\u6c34\u9903\uff0c\u5247\u4ed6\u8eab\u4e0a\u5269\u4e0b\u7684\u9322\u6070\u597d\u53ef\u8cb7\u591a\u5c11\u7c92 \u97ed\u83dc\u6c34\u9903?", "correct_choices": ["8"], "incorrect_choices": ["6", "9", "12"], "metadata": {"timestamp": 106, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_114", "question": "\u82e5a\u3001b\u70ba\u5169\u8cea\u6578\u4e14\u76f8\u5dee2\uff0c\u5247ab+1\u4e4b\u503c\u53ef\u80fd\u70ba\u4e0b\u5217\u4f55\u8005?", "correct_choices": ["$42^2$"], "incorrect_choices": ["$39^2$", "$40^2$", "$41^2$"], "metadata": {"timestamp": 106, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
| {"id": "middle_school_mathematics_115", "question": "\u5df2\u77e5\u5750\u6a19\u5e73\u9762\u4e0a\u6709\u5169\u500b\u4e8c\u6b21\u51fd\u6578 $y = a(x + 1)(x \u2212 7)$\u3001$y = b(x + 1)(x \u2212 15)$ \u7684 \u5716\u5f62\uff0c\u5176\u4e2d a\u3001b \u70ba\u6574\u6578\u3002\u5224\u65b7\u5c07\u4e8c\u6b21\u51fd\u6578 $y = b(x + 1)(x \u2212 15)$ \u7684\u5716\u5f62\u4f9d\u4e0b\u5217 \u54ea\u4e00\u7a2e\u65b9\u5f0f\u5e73\u79fb\u5f8c\uff0c\u6703\u4f7f\u5f97\u6b64\u5169\u5716\u5f62\u7684\u5c0d\u7a31\u8ef8\u91cd\u758a?", "correct_choices": ["\u5411\u5de6\u5e73\u79fb 4 \u55ae\u4f4d"], "incorrect_choices": ["\u5411\u53f3\u5e73\u79fb 4 \u55ae\u4f4d", "\u5411\u5de6\u5e73\u79fb 8 \u55ae\u4f4d", "\u5411\u53f3\u5e73\u79fb 8 \u55ae\u4f4d"], "metadata": {"timestamp": 106, "source": "\u6703\u8003\u8003\u53e4\u984c"}, "human_evaluation": {"quality": "", "comments": ""}} | |
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