1 . 写出下列不等式的解集.
(1)
:_____________ ;
(2)
:_____________ ;
(3)
:_____________ ;
(4)
:_____________ .
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d1a244886e2430d6a3c938b1ebe9e92.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f04e0cb601612dad92916178c9f5640.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d0a73494d0c60c64fccb626bb2ae6f.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49916ee1647403baa4010e39be210b15.png)
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2 . 已知互不相等的正数a、b、c满足
,则下列不等式中可能成立的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f04c69a19de6e2bbee72ab6deac94a3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 三个正整数x、y、z满足
,
,
,若
,则y的最大值是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b21208364124b5c477b2ff8df1c2e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c15d289a1d5ae856d3498a9b4bfedc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37722775a61cf7b9bd45efb2eceea3a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80cce574305acfe7d719d666b500234d.png)
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名校
4 . 设
,则
中等号成立的充要条件是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e4b362ae223c01e7bd3f3bf73edb89.png)
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2021-12-03更新
|
405次组卷
|
4卷引用:沪教版(2020) 必修第一册 堂堂清 第二章 2.1(4)等式与不等式的性质
解题方法
5 . 用“<”“>”、“≤”或“≥”填空:
(1)当b______ 0时,则
;
(2)当
时,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
_______
;
(3)当
时,则a______ 1.
(1)当b
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa51bd787dd9bf2c59927e48ee62194.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a915c1a8a9304aeb307d130faaeb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9f278ef89065082ac0c969ceeaa01d.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de87d6d6a65839c47553e33aa88decd.png)
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6 . 若
,则
.( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17cec7c4f1818b40b76fc29a5ff5765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432b31bd223a0e5c4b7ee51de605ff8c.png)
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7 . 若
,则
.( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9b94628617cbe6f1c60d5982f1bc3b.png)
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8 . 已知下列三个不等式:①
,②
,③
,以其中两个作为条件,余下一个作为结论,可组成几个真命题?请证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d5f0d374837655cc286d326305da36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e128762da7173d52c778f65bfeb936bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc05a45acd2f30341e46bbe8091867a6.png)
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解题方法
9 . 若
,则下列不等式:①
,②
,③
,④
中正确的不等式的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6711e06cd61ac21656512e33f4ee2cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa4b46e83d1879329257896c3795c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a323faa2800b71441207b239993e2f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b32e1a1c8cb8f9fdab1d90cb9507c97.png)
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10 . 若
,
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d9d76b59ec1414a1cdf7f49127610c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a7382a34512cc000a9125795a1a3946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72850427e83ff19a24305783e080b280.png)
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