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1 . 先化简,再求值:
,其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/308ac93baab37dd4d95c4866cd3df2b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
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名校
2 . 解答以下两个小题:
(1)求
的值;
(2)若
,求
的值.
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6306f753fe8458efe5cf9887b64c4422.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8c9f990fc696c4b27d02cb9e92fe9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c1f68a5bc3695f488c3c9249ac77ea.png)
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名校
3 . 计算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1dc7e3ccd1257b3a60a6e79ee40009a.png)
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4 . (1)化简:
;
(2)求方程
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef937ff3d3939ec00c2ccb3ad9a13848.png)
(2)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67bd4a53ea5aef1fb7aeabddbf4adb64.png)
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5 . (1)求值:
;
(2)设
,
,试用
,
表示
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dfb82006cc59515cd0d628ac2c4f851.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a08a2a5540efcdb5a77aa4ea3049884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850df3e299d9b1ecbda7e3a59e2a255e.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/8bf842a975fc4eb344d3ec356854ceb8.png)
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6 . 解下列一元二次不等式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea2cffed1bfef487bbdd6a1e468489d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595df5ae89ccfca0069a5380e9af7a2a.png)
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7 . (1)解方程:
.
(2)求值:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638c5adc6e1300209246f802e8c69a23.png)
(2)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5e3915352d054290dbecaec123d54a6.png)
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2024-06-08更新
|
381次组卷
|
2卷引用:甘肃省陇南市第一中学2023-2024学年高一上学期期末考试数学试题
8 . (1)若
求
的值;
(2)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6676e0c0cc6b552048c910314e84ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9d99d1d9273c5fb149610850ac06ab0.png)
(2)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1f01fc08947a0ca07ee5c5081a430b.png)
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9 . (1)已知
,求函数
的最小值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d05eceb2930112a5383d965edb433df1.png)
(2)已知正数满足
,求
的最小值.
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10 . 解下列不等式
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e1098ebb258c8d5dd5cfc8aaf1eb36.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c96a0888fc05a11b348b6d5c24f1faae.png)
(3)解关于
的不等式
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e1098ebb258c8d5dd5cfc8aaf1eb36.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c96a0888fc05a11b348b6d5c24f1faae.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13bf87fd5308fd89bb1b54bb24e74a12.png)
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