解题方法
1 . 求下列各式的值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a41cf1eee9d6ec711fd2d88371662c75.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd1cde967547ebdbed4c227d1f71f8d5.png)
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解题方法
2 . 已知
,
且
,求解下列问题.
(1)求
的最值;
(2)求
的最值;
(3)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17319940446d747694963325203fc5da.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9817a48b819ab971e79bad7b20250294.png)
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3 . (1)计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f328740bf24bfa5307d5ba23cfaac1.png)
(2)已知
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f328740bf24bfa5307d5ba23cfaac1.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d227c4e80e72eb343659193a06daff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e28564e8971ee3cd8deb50d1afab24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/629abc79d5be8093ee40ef9f6eb19337.png)
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4 . 已知
,
.
(1)求
的值;
(2)若
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb40411baa1991cb651bd83ab50c2f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04af48ab89b3ea0bb3f377da1ad030ca.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a706babc7ce184257294f4bba74caa8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17cc100e36303b3566d91e4756594cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab0f0e61713a059fc61832522acab1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
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2024-01-25更新
|
795次组卷
|
5卷引用:湖南省长沙市明德中学2023-2024学年高一上学期期末考试数学试卷
5 . 求下列各式的值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e98d8b4d5089e40a5052229f78999e1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59f43077b5e16a30f70ad0c63b08798.png)
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6 . 求值(求导):
(1)
;
(2)
;
(3)
;
(4)
;
(5)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd8a8e55ac915affd9e02466f5784f76.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd552fb9fc733347a1128dc1d7c43f1b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b41e19e738887a45b391b5510a5494.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e39b3afa435e2e9a5547f7df37a642.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c17e914cdc91e69bb0bd3abc3c50573.png)
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解题方法
7 . 求下列各式的值:
(1)
;
(2)已知
,求
的值.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4394d245d3a847f9895834401982641.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7432dfa5ff15844226f233514f1456f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
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8 . 化简求值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb6c56a5339d40ff6c1e5ac6e99d27.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd08621872946844f43d5661d63aa26.png)
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9 . 已知
.
(1)化简
,并求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07eb763ab474c5fefbe81da1f1228344.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5299046408055095078d0646569a169.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f280aa9106f8983fa107da81a2ce1bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9687734ec46d3c77b13677a2b9df5f7a.png)
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2024-01-22更新
|
1018次组卷
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2卷引用:湖南省岳阳市2023-2024学年高一上学期期末数学试题
名校
10 . 已知函数
.
(1)求
的最小正周期;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c6d76f2d66b0240217d1ed0a0813b47.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8fb1b62c72d07473148da9c42ef5ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5caabda288fc01cc168938846eec5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
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2024-01-15更新
|
828次组卷
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2卷引用:湖南省长沙市湖南师范大学附属中学2023-2024学年高一下学期入学考试数学试卷