已知
为定义在
上的奇函数,当
时,
.
(1)求
在
上的解析式;
(2)求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a7b59a054bc84345004859c6d72518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/909f54c53772b463bc11ea061d954fc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c27bbe2f8782ad08b6b1f8017da0f46.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a7b59a054bc84345004859c6d72518.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
18-19高一·全国·假期作业 查看更多[1]
(已下线)步步高高一数学寒假作业:作业6 指数函数及其性质
更新时间:2019-12-24 11:49:30
|
相似题推荐
解答题-问答题
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适中
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解题方法
【推荐1】已知定义在
上的奇函数
满足,当
时,
.
(1)求函数
的解析式;
(2)若函数
,证明:函数
的图像在区间
内与
轴恰有一个交点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b536a39baf119df5e962cb49b5222270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b069f0ebf0367a4d74d78ff93db24e.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4eebfdc0ba9b42004d5ccd2992cdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d0888a8522bff9d4ad2edabd5bd0c57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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【推荐2】已知函数
的图象关于y轴对称,且当
时,
.
(1)求
的值,写出函数
的解析式(用分段函数表示);
(2)若函数
,
,求函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2659a96b5c5099fa0bd4033ea358b988.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e1a1611f320c0f358df77aaae3f942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803b2de32177f5ebb64b38115356f388.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f617440fe670dbba24393970c4902ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538193a4717d564c01145e82314c2d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
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【推荐3】已知
是指数函数,且其图象经过点
为奇函数.
(1)求函数
的解析式;
(2)函数
满足
,若对任意
且
,不等式
恒成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a43cbb0d375d9cd82bb19f082721ca.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40caa4d4b6afabca91aa20d9c5e345db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d77a9442329a0054fcd579ce168466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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适中
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【推荐1】已知函数
.
(1)当
时,求
的零点;
(2)若方程
有三个不同的实数解,求
的值;
(3)求
在
上的最小值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c52f6170aab59078818f08803005540.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3c2be7482719651bcf491949681e05.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a110628662d015f652042514288aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa368359d1382330e7e32158203f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30a5498bb0236a2bb04ae38329b408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2ac429737efebf150a1bd088ba846.png)
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解答题-作图题
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解题方法
【推荐2】已知
,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a880cfdd930695542e6dbb7813adec.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/c5ae361f-2601-470a-a008-f49b1ff709f4.png?resizew=228)
(1)当
时,画出函数
的图像,并结合图像写出函数的单调递增区间;
(2)当
时,求
在区间
上的最大值;
(3)设
,函数
在区间
上既有最大值又有最小值,请直接写出p,q的取值范围(用a表示),不必书写过程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b59e3282fc6936e74dcc5388702b28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a880cfdd930695542e6dbb7813adec.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/c5ae361f-2601-470a-a008-f49b1ff709f4.png?resizew=228)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7bf74e4eb8ca4fa2829e4576e4023f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7bf74e4eb8ca4fa2829e4576e4023f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12840b096db9ffea34a528a4bb2c4200.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78943b8a78582c68703dbaea66d299a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb788ae88e457017bb81120b6a2e5ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d856d91386d8d57433eea1f6872008f2.png)
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