1 . 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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2 . 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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3 . 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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解题方法
4 . 已知集合
,若不等式
对
中任意
都成立,则实数
的取值范围为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4ff5263c822b207bdbf00663d47a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8168db3449e0942096659d683b1240c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
5 . 函数
是______ 函数.(填“奇”或“偶”或“非奇非偶”或“既奇又偶”).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e59950bd08978aea41e9bc7a8f00ad43.png)
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解题方法
6 . 已知实数满足
,则
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解题方法
7 . 已知函数
是定义在R上的函数,且函数
的图象关于点
对称,对于任意的
,总有
成立,当
时,
.函数
,对任意
,存在
,使得
成立,则满足条件的实数
构成的集合为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c3dd8fa2dc8c0c7e255bfb054ad34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42b2897842d014a94af5f74c1c1c6035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58427d5aa7deeca47c8789241913f30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf51d9719b5dba6b64411e961002d3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff8eb3fc5dd80677e2e2e7a3fa6fa68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf039c46a25e331446c6ee1e9af3c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f748c62259e0a54a751cd0670d8f502.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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8 . 已知
,若集合
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0149a694bc310911f0e371ebbbf71488.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7270af750eeaeb83f47d91114147020b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf6432540acf70be76f83c933aae60d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0149a694bc310911f0e371ebbbf71488.png)
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9 . 如果
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09ed09dce739e3a25c270e4ab798083a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1838291076ff96070c4b60e106cb29b.png)
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10 . 如果函数
满足
,
且
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8338331b1eb33d0a1bb9ecc740f28912.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9512bb57be58befcf9ce40780bc993d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8338331b1eb33d0a1bb9ecc740f28912.png)
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