1 . 已知
的三边长分别为
,
,
,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.以![]() ![]() ![]() |
B.以![]() ![]() ![]() |
C.以![]() ![]() ![]() |
D.以![]() ![]() ![]() |
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2 . 对于实数a,b,c,有下列说法:
①若
,则
;
②若
,则
;
③若
,则
.
其中正确说法的个数是( )
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13c960fa57440fcabc5b2cc086ccc64.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b9d08cf536bbb76bce1b0f135772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5842f47b99932df68efbb64eb847e956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411100df59e7a9dc8d4ad77d497b6fa9.png)
其中正确说法的个数是( )
A.1 | B.2 | C.3 | D.0 |
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3 . 设
,
,则a与b的大小关系是______ (用“>”连接).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186941c290aca04f88e1589a876d4664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694f4c50fdded96e2e9947d630fb50c7.png)
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20-21高一·全国·课后作业
4 . 证明:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70410f095a6d5b4b66ece2ad7bf1e461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e8aee4986216ee82f6185497ea71c8.png)
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5 . 对
,下列不等式中一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 不等式
的实数解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcb0714c907d2a274c2462455cadc6c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 设
,
,则x-y的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd5e63fa07bbfcc6d5b1b68716d8c731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ee4d5d7db31edffd1eb3533551678f.png)
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8 . 已知a、
,且
.如果由
可推得
,那么a、b满足的关系式是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eae9ba258299eb489b490594397e23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8201ff29a2091d40eee10db6bbc1f2.png)
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9 . 对任意实数a,总有
成立,等号当且仅当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ 时成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9ee918f8f4d5ba1f51d3f2d0e4d4e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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10 . 若关于x的不等式
的解集为
,则实数a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93dd2a6f9e92197ac6561174bc419a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a837165ca03f9e4ea8964979c95e3bb.png)
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