修改12774题面
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@ -1,6 +1,6 @@
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import os,re,json
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"""这里编辑题号(列表)后将在vscode中打开窗口, 编辑后保存关闭"""
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problems = "12669"
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problems = "12774"
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editor = "王伟叶"
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def generate_number_set(string,dict):
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@ -336446,7 +336446,7 @@
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},
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"012774": {
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"id": "012774",
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"content": "在$(3 x+x^{-\\frac{2}{3}})^n$的二项展开式中, $\\mathrm{C}_n^r 3^{n-r} x^{n-\\frac{5 r}{3}}$称为二项展开式的第$r+1$项, 其中$r=1,2,3,\\cdots,n$. 下列关于$(3x+x^{-\\frac 23})^n$的命题中, 不正确的一项是\\bracket{20}.\n\\onech{若$n=8$, 则二项展开式中系数最大的项是$\\mathrm{C}_8^2 3^6 x^{\\frac{14}{8}}$}{已知$x>0$, 若$n=9$, 则二项展开式中第$2$项不大于第$3$项的实数$x$的取值范围是$0<x \\leq(\\dfrac{4}{3})^{\\frac{3}{5}}$}{若$n=10$, 则二项展开式中的常数项是$\\mathrm{C}_{10}^4 3^4$}{若$n=27$, 则二项展开式中$x$的幂指数是负数的项一共有$12$项}",
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"content": "在$(3 x+x^{-\\frac{2}{3}})^n$的二项展开式中, $\\mathrm{C}_n^r 3^{n-r} x^{n-\\frac{5 r}{3}}$称为二项展开式的第$r+1$项, 其中$r=0,1,2,3,\\cdots,n$. 下列关于$(3x+x^{-\\frac 23})^n$的命题中, 不正确的一项是\\bracket{20}.\n\\onech{若$n=8$, 则二项展开式中系数最大的项是$\\mathrm{C}_8^2 3^6 x^{\\frac{14}{8}}$}{已知$x>0$, 若$n=9$, 则二项展开式中第$2$项不大于第$3$项的实数$x$的取值范围是$0<x \\leq(\\dfrac{4}{3})^{\\frac{3}{5}}$}{若$n=10$, 则二项展开式中的常数项是$\\mathrm{C}_{10}^4 3^4$}{若$n=27$, 则二项展开式中$x$的幂指数是负数的项一共有$12$项}",
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"objs": [],
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"tags": [
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"第八单元"
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@ -336458,7 +336458,8 @@
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"usages": [],
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"origin": "2023届静安区一模试题15",
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"edit": [
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"20230113\t王伟叶"
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"20230113\t王伟叶",
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"20230527\t王伟叶"
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],
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"same": [],
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"related": [],
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