1 . 给定集合
,若集合
,且对集合
中任意两个元素
、
,不妨设
,都有
或
,则称集合
具有性质
.假定集合
满足形式
,则具有性质
的集合
中的最小元素![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbb27a21cea9706f1d7688dc8c9f352.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9533c90de1b697cc9e78adaf134fb972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9d0d79fd0efdb59c9ca65bfae4a0861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b21208364124b5c477b2ff8df1c2e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f68a3f6fa83a180dd6cc40e227df87b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7c9158f76cef11b05915874095d22c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acde89240882f0af5169847117b9df77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbb27a21cea9706f1d7688dc8c9f352.png)
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解题方法
2 . 若函数
在其定义域内满足
,则
的函数表达式为__________ .(含自变量的取值范围)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b97f0d452988f3d8a6f983d84fecbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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3 .
中,角
,则
一定是__________ 三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a6544b0f05b5bb1020d29f43f688bc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
4 . 设函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c056e0738314ea7cce41cf12de8ddc.png)
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176cc960236e3108d66448938feddaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c056e0738314ea7cce41cf12de8ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4f355c7770d1725a5961068fa76a6d.png)
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5 . 整数m,n满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705d0cd198f423d1a7d6b9a7999c18ee.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a24aa90aa2d2ad600a5fce8ea1a88dd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705d0cd198f423d1a7d6b9a7999c18ee.png)
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6 . 函数
满足
,则常数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59d46d237d30bf862090469c98da9f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535fbd4834ea07cadae1dcc39bb83913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
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7 . 不等式
的解集为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d78849519f99b4fcf6f5aaee30df7e.png)
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8 . 定义在整数集上的函数
满足:
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4138e3a956d50c217cdd4799ff1edd.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11aa7165f452c8e8a84dbcc183b65f48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4138e3a956d50c217cdd4799ff1edd.png)
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9 . 记不超过x的最大整数为
,若集合
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a72ef9665654c618812d35f99535549d.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe65fd88f6f84c855b9f564d50eebc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a72ef9665654c618812d35f99535549d.png)
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解题方法
10 . 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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