1 . 已知正实数x,y满足
,则xy的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4edfef181ed229ed1a3bb2295be7db9.png)
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2 . 不等式
的解集为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e81968793ed1b394b36ea950599cdf5.png)
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3 . 不等式的基本性质:(1)传递性:__________ .
(2)可加性:___________ .
(3)可积性:①___________ ;②___________ .
(4)同向可加性:___________ ;异向可减性:___________ .
(5)同向正数可乘性___________ ;异向异号可乘性:___________ ;异向正数可除性:___________ .
(6)乘方法则:___________ (
,
).
(7)开方法则:___________ (
,
).
(8)倒数法则:___________ ;___________ .
(2)可加性:
(3)可积性:①
(4)同向可加性:
(5)同向正数可乘性
(6)乘方法则:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209559aca6bf32705588b6a40e0b7320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
(7)开方法则:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209559aca6bf32705588b6a40e0b7320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
(8)倒数法则:
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4 . 已知实数
满足
,则
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655737b0d9fc7d589ca7c2765aeadc38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87819183ff4515b4c9d3938d81b51138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c184c0b787a20e15fefac510c1ac9db.png)
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5 . 已知
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d360794828cac510eae1d40d88b64384.png)
________
(填“>”或“<”).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d480ad03519477fb6b332cc40904a462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d360794828cac510eae1d40d88b64384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef629f8ffe51b961b5fa1ebe0c4b7641.png)
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解题方法
6 . 设
,
,则
、
的大小关系是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018e913f8c221c75c5e5808d5f2ae38c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70ffe0f358c41219229650ce395a8803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
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7 . 不等式
的解集是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af145bb4a85b60b2cae0fc2bf374630.png)
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8 . 已知
,
,
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8bbf03edab1c9e7ab67bf6a42eaea61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915ad1a611b5edd3e8f743a9e2e234aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
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9 . 若关于
的不等式组
的解集非空,则满足条件的最大整数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e6628c71b986305acb974134d8522b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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10 . 如果实数对
满足
,则实数对
可以为___________ (写一对即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb54b1b3617ebc502cb44194cbcd1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
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