1 . (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
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2卷引用:云南省丽江市玉龙纳西族自治县第一中学2023-2024学年高一上学期12月月考数学试题
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解题方法
2 . 已知
是偶函数.
(1)求
的值;
(2)证明:
在
上单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14dcc1294ea803b17e3232090bb1df6c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
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2024-03-03更新
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2卷引用:江西省部分学校2023-2024学年高一下学期3月月考数学试题
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3 . (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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4 . (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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5 . 计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7218aa36f90dc46d1004daa396de2b.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7218aa36f90dc46d1004daa396de2b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b42011f840f47d21f9ae7f9d5834488.png)
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6 . 计算下列各式的值:
(1)
;
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f326161fa2faefdf0ddb2a4ef03fb4bb.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c31e391a0cf8b63874a0fca6710107.png)
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7 . 已知
.
(1)分别求
和
;
(2)若
,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/798807f971504a4ddb00898dbef09886.png)
(1)分别求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ffbece8eaa48d6f874ad33257a0da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871c01f016b80a7af493e05c06bab4aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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8 . 求值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa9e63f9cb08df1ae2ef2ef8c586ccb.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8441441592ab28e0fba7a53ad1c13ae9.png)
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2024-03-06更新
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2卷引用:江西省部分学校2023-2024学年高一下学期3月月考数学试题
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9 . (1)计算:
;
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6280e5a7f70ff2dbdc8a678e24507303.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9174586826fb9bf2f4ba4ee3efb967d6.png)
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10 . 计算下列各式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5524832c17e2c8cf9750894b48adfe.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8f17e70a5aa94ebc9798beb27d154f4.png)
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2024-02-03更新
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2卷引用:陕西省咸阳市实验中学2023-2024学年高一上学期段性检测(三)数学试题