1 . 已知集合
,
(1)若
,求实数
的值;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7739501d4e2196e1d10f6e1b91e18b26.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc992c9e51d4b22232adf6bb5c8055a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
2 . 函数
满足:
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9471b4864932cd4ea3410c5bb85e71b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0add07a1ddd1f87d481c17eefcdba4e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25fddd7b1e6c6576006c14b3a2e7fe28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6a27c4de74bf5b1e6e61254b1b20a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9471b4864932cd4ea3410c5bb85e71b.png)
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3 . 集合
,若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb9ec78f0bc169af6688aad5d8dfbad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d5735f001126b17c15b65174076ba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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4 . 集合
的非空真子集有( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca72ba7486edb55c6304bf5dbb90c3.png)
A.13个 | B.14个 | C.15个 | D.16个 |
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5 . 当
为何值时,不等式
恰有一个解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/399e7902cf319a4ecc40aebda074eda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e17a1c30f62f3dce43df74c310679a5.png)
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6 . 设
为正整数
的各数位上的数字的平方和,例如
.记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9f8c82aa2a99a423e2b66328cc961d.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781c5979c86f2f80db32b2e887235234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643a4248bc5bea50c848951ed9368d14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9f8c82aa2a99a423e2b66328cc961d.png)
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7 . 定义集合
的一种运算:
,若
,则
中的所有元素之和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14321ad0bc708e58b91198c2b2ff7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b74dca0a346f6eafaa4364d0b5a9f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68f70b226287d4a61f2a96afca02183f.png)
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解题方法
8 . 若函数
在
上的最大值是2,则
的值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7361329c24f97be33fd3408f1d74fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 已知
是定义在
上的偶函数,对任意的
,且
,都有
,则( ).
![](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/b1e32125207addc3fdb92ceb0ec80ce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f09c0670e752aa71b00f219f374b8c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 设定义在
上的函数
的反函数为
,且对任意的
都有
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b31f8d19d5d0d21c20e8ae2a04c42b.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d6b59f4796a45963dea76b89c72bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9277ef49ec5d65706af2e88e5028303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b31f8d19d5d0d21c20e8ae2a04c42b.png)
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