1 . 已知集合
,
.
(1)当
时,求
的非空真子集的个数;
(2)当
时,没有元素x使
与
同时成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3cdb0f0857f6e7480096a3645b6aca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb01a1f28a6752cb633d9523475631bf.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79d04bf7882fd278b9ba53b791c156.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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2 . 已知集合
,
,若
,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e9ffbc8e06eeedf5ec29b1765bfe424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdeb43ff22730adafd2d660e07c59ec9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
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3 . 若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f46a13297035069791fec890b2d7f7b.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dee50d54f9c52ad203f9c9a49f2d6f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d05133030f89716bf32cbcd3141520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f46a13297035069791fec890b2d7f7b.png)
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4 .
,且
,则函数的值域是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e978490cfacc47f018958c33fc4c4d86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211ebd58d457c6e7855cef475a91f203.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 设全集
,集合
,则
图中阴影部分表示的集合为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/bf65caa1-c149-4154-ace9-4c4dc2b8b791.png?resizew=149)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b64d0e19b26c07de37c071f56ba482cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fde8c49a12504ed01db671057946f88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6f6ad1d69375f13b848d7ac12e513b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/bf65caa1-c149-4154-ace9-4c4dc2b8b791.png?resizew=149)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知
,设函数
,则
的最值情况是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f073d068921591a2bd6103f24727891d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87371a89233cc897b4a8909fc94b4fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
A.最大值为3,最小值![]() | B.最大值为![]() |
C.最小值![]() | D.既无最大值,又无最小值 |
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7 . 设函数
的定义域为
,若对于任意
,当
时,都有
,则称函数
在
上为非减函数.设函数
在
上为非减函数,且满足以下三个条件:①
,②
,③
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e9366f38a5a352caec028daf1884ba.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce36e7f0f15a8f566a2f6d824cc594fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ba30f1aa5e75750c67b142fc1d7837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104375baf5cef5eb92cfc7cf13b80193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2493344c3e6aa5e038c98ee6d60bb62d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac8e79f1cd9267e717f9c4198f0c1c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e9366f38a5a352caec028daf1884ba.png)
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8 . 已知集合
,若
,则有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2128f871462a5489acd85ed2c40f6940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e229f346ee6b2292dc03fdfd45d4fb65.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知
是定义在
上的函数.
(1)判定
单调性,并利用函数单调性的定义证明.
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c85903182b19b78240e69b468d2ca48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b61bb7cb94b4d06f0090df1e365667.png)
(1)判定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63bff399ee2cf2297d66c1150a2463f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
10 . 已知函数
,且
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40ff8fc6b5b4b88ead3ac259429a45d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9347bb4ffedcbea2f4c16d047a138d75.png)
A.0 | B.1 | C.2 | D.5 |
您最近一年使用:0次
2019-10-23更新
|
379次组卷
|
3卷引用:四川省眉山市彭山区第一中学2019-2020学年高一上学期10月月考数学试题