1 . 设A,B为两个互斥的事件,且
,则下列各式错误 的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ce8df1df3170258e047113c5202498.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-01-29更新
|
202次组卷
|
2卷引用:广东省惠州市博罗县2023-2024学年高二上学期期末数学试题
解题方法
2 . 已知正方体
的棱长为1,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
A.直线![]() ![]() ![]() |
B.![]() ![]() |
C.点![]() ![]() ![]() |
D.直线![]() ![]() ![]() |
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解题方法
3 . 已知函数
的部分图象如图所示,则
的解析式可能是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/f8666678-4498-4b73-bad9-1837102f510a.png?resizew=152)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/f8666678-4498-4b73-bad9-1837102f510a.png?resizew=152)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fcd3cea5f5e2fe943490dcb65d74c73.png)
的部分图象如图所示,
图象经过点
和点
,且
在区间
上单调,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/15/19eb5df2-b92a-43ae-8584-168446cf9fb7.png?resizew=78)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fcd3cea5f5e2fe943490dcb65d74c73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3025cbd737bb7c44fefc4bdb93e40f90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4fd84394e897ebf6c4814b841d427b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436437f3996e0180558ef46e34e87ec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223caade814ca5208ae2f3ce6b5b6a8e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/15/19eb5df2-b92a-43ae-8584-168446cf9fb7.png?resizew=78)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 已知集合
,集合
,
,则图中阴影部分所表示的集合为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/14/166280d6-0615-46c0-81db-dbb691862a2e.png?resizew=150)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4334e28a76efc913fe76282e48c5399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b8208b3e914bb2c8753d5b5e102de18.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/14/166280d6-0615-46c0-81db-dbb691862a2e.png?resizew=150)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
6 . 已知函数
=
,满足对任意
,都有
成立,则a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd7fd13076deb4ae02660bc1e6a1f3a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-04更新
|
479次组卷
|
2卷引用:广东省惠州市2023-2024学年高一上学期1月期末数学试题
7 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e5ff2705eb737adef9a6dc70559d79.png)
(1)已知
为单调递增函数,请判断
的单调性,并用单调性定义证明;
(2)若
,求证:方程
在区间
上有且仅有一个实数解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b72eb501bf5451af98ab894176fb2a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e5ff2705eb737adef9a6dc70559d79.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b67287da8b741b449aa283c688fd080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
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解题方法
8 . 我们知道,函数
的图象关于坐标原点成中心对称图形的充要条件是函数
为奇函数,有同学发现可将其推广为:函数
的图象关于点
成中心对称的充要条件是函数
为奇函数.据此,对于函数
,其图象的对称中心是_____________ ,且有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2221d2974b81b0bb44675ea0bbee65ac.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d0969cb7acbeaa05a101a385348a00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1534055ca63c6eaae36df528f21e077b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2221d2974b81b0bb44675ea0bbee65ac.png)
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解题方法
9 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/935d069c1b0b68923b9c61d2ab91377d.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b951e66702f574883f1621f5cdf30e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/935d069c1b0b68923b9c61d2ab91377d.png)
您最近一年使用:0次
10 . 计算下列各式的值;
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bcd5fa2583f6a5566ac7355176403b9.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911c9f14db6350678fb2ea163ec6557f.png)
您最近一年使用:0次