1 . 样本数据
的第80百分位数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95c7361e1a05c6de4bdbeea4fc040ba.png)
A.4 | B.6 | C.7 | D.8 |
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2 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86388ea17f8dcc25a79582fe7276c643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 如图,某人沿围墙
修建一个直角梯形花坛
,设直角边
米,
米,若
米,问当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ 米时,直角梯形花坛
的面积最大.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2633a6f46b0847158eebb05c743561aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c9e9e100705a796f2d3c3855d61c721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b482495ca023cb1ca3476eea0e2b593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/1/05aaff19-b357-40b3-b171-d46eea818d0d.png?resizew=160)
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解题方法
4 . 一个袋子中有大小和质地相同的3个球,其中有2个黑色球(标号为1和2),一个白色球(标号为3),从袋中有放回地依次随机摸出2个球.设事件
“第一次摸到白色球”,事件
“两次摸到的球颜色不同”.
(1)用集合的形式写出试验的样本空间,并求
;
(2)求
,并说明事件
与
是否相互独立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
(1)用集合的形式写出试验的样本空间,并求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84455d653ff40b53e4418531efd20991.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aecbf1c6626bbb1c3a4e0952db8a25e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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5 . 计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2d31345901b75dcc1257ca2c58d67f.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2d31345901b75dcc1257ca2c58d67f.png)
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解题方法
6 . 对比函数
和
的图象与性质,有下面四个结论:①它们的定义域不同,但值域相同;②它们在各自的定义域内都是增函数;③它们在各自的定义域内都是奇函数;④它们中一个是周期函数,另一个不是周期函数.其中所有正确结论的编号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a869a76555f3369728f9005863bdb8eb.png)
A.①②③ | B.①②④ | C.①③④ | D.②③④ |
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解题方法
7 . 如图,已知正方体
的边长为1,记
,
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/1296ef17-1494-4ce8-8d8f-c4f490e6c44b.png?resizew=169)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79b24eacc33f3309a81880598113519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70844d1bef84578e8057728d4d8d2d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/744d30bd1008bc590497cf28b164c8ee.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/1296ef17-1494-4ce8-8d8f-c4f490e6c44b.png?resizew=169)
A.1 | B.![]() | C.2 | D.![]() |
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8 . 不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ec0d566ace6129dce38676ce629cb1d.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
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解题方法
9 . 已知复数
(
为虚数单位),则复数
的共轭复数
在复平面内对应的点位于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d94d3f4775b6492aae893e0f9c3d4ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
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10 . 若
且
,若
的最大值为
,则正常数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a38d7c0e29ff678be4175cd151636813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca8b26c3ad6d892590290a2304126bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.1 | B.2 | C.3 | D.4 |
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