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1 . 在
的展开式中,
项的系数为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e127c0a4938a57988a75dccaec672f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d800f03de80068a1172beac3a2c75587.png)
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2 . 某班组织开展知识竞赛,抽取四名同学,分成甲、乙两组:每组两人,进行对战答题.规则如下:每次每名同学回答6道题目,其中有1道是送分题(即每名同学至少答对1题).若每次每组对的题数之和为3的倍数,则原答题组的人再继续答题;若对的题数之和不是3的倍数,就由对方组接着答题,假设每名同学每次答题之间相互独立,且每次答题顺序不作考虑,第一次由甲组开始答题,则第7次由甲组答题的概率为______ .
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3 . 已知一批沙糖桔的果实横径(单位:mm)服从正态分布
,其中果实横径落在
的沙糖桔为优质品,则这批沙糖桔的优质品率约为( )(若
,则
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efe92ed2a582bfc10eb72a16b06276d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c31a0d88204d21ea7e1447de6fc5204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8471b1bd5c53256f122a0f57d6ecf628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/078df63aeb773d38d4bb320aedb87e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40ba486e80fd043e0c2aac42e24e34a9.png)
A.0.6827 | B.0.8186 | C.0.8413 | D.0.9545 |
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1192次组卷
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2卷引用:四川省成都市树德中学2023-2024学年高二下学期期末数学试题
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解题方法
4 . 如图,左车道有2辆汽车,右车道有3辆汽车等待合流,则合流结束时汽车通过顺序共有( )种.
A.10 | B.20 | C.60 | D.120 |
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5 . 已知数列![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8363a0b794ac041bb8c42c8dd4122ddb.png)
,则由这两个数列公共项从小到大排列得到的数列为
,则数列
的通项公式为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8363a0b794ac041bb8c42c8dd4122ddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e623b77bc2e46e42621f25c04021be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ab0309e2cd35585ea9fb2cc3017abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ab0309e2cd35585ea9fb2cc3017abf.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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358次组卷
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3卷引用:四川省成都市树德中学2023-2024学年高二下学期期末数学试题
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6 . 下列导数运算错误的是( )
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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7 . 对于变量
,条件![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
,条件![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
,则
是
的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e482e4b0a8d1eef67ef0066839af65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b9c582302b8768bf5ab8ff5a5a1c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
A.充要条件 | B.充分不必要条件 | C.必要不充分条件 | D.既不充分也不必要条件 |
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8 . 对某社团进行系统抽样,编号为
,
,
,
,则抽取的序号不可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d07d9fb36737fc9b146e9f01cda6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/743fd33ecc8942e84567f7c34f342d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfd121f4aeca8a78a320fca1fd1c4d07.png)
A.![]() ![]() ![]() ![]() | B.![]() ![]() ![]() ![]() |
C.![]() ![]() ![]() ![]() | D.![]() ![]() ![]() ![]() |
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9 . 如图,
为一个平行六面体,且
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c8617aa476fbb8dbf04d9033defbc8.png)
,
.
与直线
垂直;
(2)求点
到平面
的距离;
(3)求直线
与平面
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/991451c5002137302527700e195220e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c8617aa476fbb8dbf04d9033defbc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e90f9f4e44173888a54c624852064a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eabe7498654ad4d38a9f3b4951176a12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(3)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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解题方法
10 . (1)已知
,求
的最大值;
(2)已知
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e482dd69ac1cf7f06552fdf25a217c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de7fe3ed798d85797e8850b5dde26bd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c40e32586702d7955a5d9be83da9c9ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272d96f40018d0a6ec3778e226cf931e.png)
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