收录高二寒假作业3前9题

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weiye.wang 2024-02-04 11:52:36 +08:00
parent 629e115dc0
commit c6cbfd6053
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20240203-220459 高二寒假作业1(1-8题)
024418:024422,017769,024423:024424
20240203-221900 高二寒假作业1(9-16题)
20240203-221900 高二寒假作业1(9-最后题)
019519,024425:024427,031901,023142,024428:024430,022083
20240204-000056 高二寒假作业2
024431:024432,016870,024433,016886,023213,023215,016827,024434:024435,016865,024436:024437,014695,024438:024441
20240204-115130 高二寒假作业3(1-9题)
024442:024444,007394,024445:024449

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"content": "[r016909,r003568,r019121,019126,019127] 540 共有\\blank{50}个正约数.",
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"content": "[r007382,r007354,r007509,009299,021085] 四封不同的信投入三个不同的箱子, 共有\\blank{50}种不同的投法; 若每个箱子至少投一封信, 又有\\blank{50}种不同的投法.",
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"content": "[r016925,002544,001248,002632,018295] $1 !+2 !+3 !+\\cdots+2013$ ! 的个位数为\\blank{50}.",
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"content": "[023318,007570,r021061,r009274,021077] 已知 $n \\in \\mathbf{N}$, $n \\geq 1$, 则 $\\mathrm{P}_1^1+2\\mathrm{P}_2^2+3\\mathrm{P}_3^3+\\cdots+n \\mathrm{P}_n^n=$\\blank{50}.",
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"content": "[019146,018009,014572,004018,007471] 关于 $n$ 的不等式 $\\mathrm{C}_n^4>\\mathrm{C}_n^{n-6}$ 的解集为\\blank{50}.",
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"content": "[r010869,009292,021079,r007449,018008] $\\mathrm{C}_3^3+\\mathrm{C}_4^3+\\mathrm{C}_5^3+\\cdots+C_{2012}^3=$\\blank{50}.",
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"content": "[009388,019175,019579,004022,009266] 数学小组有 10 名学生, 其中高二学生有 3 名, 高三有 7 名, 今派 5 人参加一次数学竟赛, 并且高二高三必须都要有, 共有种不同的选法.",
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"content": "[r002593,r007391,003537,019166,009267] (1) 让 8 个同学站成一排的排列数为 $m$, 让 8 个同学站成两排 (前排 3 人, 后排 5 人) 的排列数为 $n$, 试比较 $m$ 与 $n$ 的大小;\\\\\n(2) 让 8 个身高各不相同的同学站成两排 (前排 3 人, 后排 5 人), 且后排的任意一位同学都比前排的所有同学高, 共有多少种排法?",
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"030001": {
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"content": "若$x,y,z$都是实数, 则:(填写``\\textcircled{1} 充分非必要、\\textcircled{2} 必要非充分、\\textcircled{3} 充要、\\textcircled{4} 既非充分又非必要''之一)\\\\\n(1) ``$xy=0$''是``$x=0$''的\\blank{50}条件;\\\\\n(2) ``$x\\cdot y=y\\cdot z$''是``$x=z$''的\\blank{50}条件;\\\\\n(3) ``$\\dfrac xy=\\dfrac yz$''是``$xz=y^2$''的\\blank{50}条件;\\\\\n(4) ``$|x |>| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0<x<3$''是``$|x-1|<2$'' 的\\blank{50}条件.",