1 . 已知
,若
恒成立,则
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4eddd4bf7c7da8178842689540c4371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/875b562efc07c3be8b6a9fe8aab1c6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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解题方法
2 . 不等式
的解集是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4be6146a8d513ac96741c3339a1f5fc.png)
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解题方法
3 . 已知不等式
的解集为
,从
中任取一个数
,则函数
有两个不同的零点的概率是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8462db5e6a51d75197c1522a5d9dbbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0eeaa957b8010dc164ebeab5002632.png)
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4 . 不等式
的解集为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb2a6ef36417b506bc265b5cf22d85a.png)
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5 . 设
,若存在常数
使得对于任意的
,都有
满足
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eac4d6bf066089b2243947dbdb18cf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff83cf36f43fdae2ae584bd5060a66bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/648056709a55446f597e5849d7fc41fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
6 . 设全集
,集合
,
.
(1)求
;
(2)设集合
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c4196dad44d28072ffd653e8e85e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b20d946780f6abf9f80a7514ebf8f4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d383bdec96bab5e7f24eb196cb03bd41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804511fcc33f3c2da616e9540be0f408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-01-02更新
|
325次组卷
|
2卷引用:山东省高密市第一中学2023-2024学年高一上学期冬学竞赛数学试题
名校
解题方法
7 . 已知
是定义在
上的奇函数,且在区间
上的任意两个不相等的实数
,总有
,若
满足
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522a2054d1f2e78f14b5e051369c87bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70363e5c88c95562599d26c00fbf0fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-12-19更新
|
574次组卷
|
5卷引用:山东省高密市第一中学2023-2024学年高一上学期冬学竞赛数学试题
名校
解题方法
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce29b856fd39fba0f4c440e98e51194.png)
(1)求不等式
的解集;
(2)若
对于任意
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce29b856fd39fba0f4c440e98e51194.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb1dc30d4b297c6d5d0d6d91eab1e3b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a764b21b0d905ab7699fe4a9f2d84b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab055102aa93be3bc359d54ab87d694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-12-11更新
|
481次组卷
|
2卷引用:安徽省阜阳市第一中学2023-2024学年高一上学期数学竞赛试题
名校
解题方法
9 . (1)计算:
①
;
②
.
(2)解不等式:
③
;
④
.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec1545615107a1ef7fc4186e09a1bc3.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5527c88d4f0cb6f550e606849dd0a46.png)
(2)解不等式:
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb38b7e1964cc223a6d2a3e59ca9331.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf1863d3a05613d4a33b4e7cb8d7ba6e.png)
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2023-12-09更新
|
294次组卷
|
2卷引用:安徽省阜阳市第一中学2023-2024学年高一上学期数学竞赛试题
名校
解题方法
10 . 已知函数
,且
与函数
互为反函数.
(1)若
的图象过点
,解不等式:
;
(2)在(1)的条件下,若对于任意
,都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ede877f4dfa6b0a9a4c2e749e8fc27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081cd41dab0f2a8f84b0e9f1df4843fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54be9f6467a93e5dbd53d458fe730a3.png)
(2)在(1)的条件下,若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8182356e4323a4dfe5ceb83caf347cd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cd38c1c5561866cca19ef960e979bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次