1 . 回答下列各题:
(1)计算:
.
(2)求不等式组
的解.
(3)先化简,再求值
,其中x的值是方程
的根.
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d37748a847ea07f86e9d8987fc41b0.png)
(2)求不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e43d080c3647643a56a853d0e4685d6.png)
(3)先化简,再求值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668ff378ae340df95a355acaf5806bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8034dddd265a186e29172623e3b9eadf.png)
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2 . (1)解不等式组:
,并把解集在数轴上表示出来;
(2)先化简,再求值:已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e4348a5183fcf3686773969d85c3921.png)
(2)先化简,再求值:已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc12fed7a6f4777c0fccc896e624281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dde4df5d30068f1efab9f40c2f24b623.png)
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3 . (1)化简再求值:
,其中
.
(2)解分式方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40d8a8518de3b067fc57251db0de0af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78f0f9ea5fbaf5ef0f979768b4dde09d.png)
(2)解分式方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7091603e32e8b874d06bf1c3b441aafc.png)
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4 . (1)计算:
.
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fbc17b6131a1d704a6850b86a13e0e.png)
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a8ce1e2d86cc4b582e819782976936.png)
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5 . (1)计算:
;
(2)解不等式组:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c53295ce58f5d18af28bb31b874feec2.png)
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d983a1692ea916cc096a607b244770f1.png)
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6 . (1)计算:
.
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37a3bda6b01e0ba1ae371376e744e14.png)
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ad7595a8ee68167572656178331c02.png)
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7 . (1)计算:
;
(2)解不等式组:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b1f5e8369ff1939ad6dc74688dbd6b.png)
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdcfe579029c103167046cae43c31b33.png)
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解题方法
8 . 已知函数
.
(1)解不等式
;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0499141930680241c2d8fc5bd1922c.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065899f3650f4cc1661b959c1b3342cc.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781e5ea82d83b48d968b8fe9d47d5a35.png)
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名校
9 . 回答下列各题.
(1)求值:
.
(2)解关于
的不等式:
(其中
).
(1)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef28c427f4ab6ba19a6346dcbaa18f5c.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/965d021202509620ab356d6a21fb374e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
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2020-12-14更新
|
311次组卷
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3卷引用:四川省泸州市泸县第一中学2022-2023学年高一上学期12月月考数学试题
名校
10 . 已知关于
,
的方程组
其中
.
(1)当
时,求该方程组的解;
(2)证明:无论
为何值,该方程组总有两组不同的解;
(3)记该方程组的两组不同的解分别为
和
,判断
是否为定值.若为定值,请求出该值;若不是定值,请说明理由.
![](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/c1685feba617e3d56860fe0a3a59804f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
(2)证明:无论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)记该方程组的两组不同的解分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3396ead2a01ebd1d6134732541008a7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734a03b0e1c4de970668548ebb944fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0af05cf4260c845bfb0675073bd81b6.png)
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2023-11-14更新
|
152次组卷
|
2卷引用:四川省雅安市名山中学2023-2024学年高一上学期12月月考数学试题