名校
解题方法
1 . 已知函数
,其中
.如图是函数
在一个周期内的图象,A为图象的最高点,B,C为图象与x轴的交点,
为等边三角形,且
是偶函数.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/16/1fc5eae4-72db-436e-9a6e-4bf36dba5cd9.png?resizew=178)
(1)求函数
的解析式;
(2)若不等式
对任意
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a122e96e6ce3fed3e59d127c58d66075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbce988948de762b14a3b9a0da5fdd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/539ed9ba1bfbe7284a05d30afa026b2f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/16/1fc5eae4-72db-436e-9a6e-4bf36dba5cd9.png?resizew=178)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb7ba5202928932f1a0d3cf1303199d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
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2 . 已知
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ab7638fbb57ebacd42f29adfdb8e84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知
.
(1)化简
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36595ac66db0e18ea680e40385f0aa8.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ba6b6ee00c4b2763cb3fa59caa69f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/580a957a445b811816859137be637af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f69cdfcdfad387a82d1d9e7890763e.png)
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解题方法
4 . 已知
,则a,b,c的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc40dbc5cd624908584eef43c964c71.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
5 . 设函数
是定义在
上的偶函数,且
,当
时,
,则函数
在
上所有零点之和为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/935799b8d9f3de0c021e2a7df70d96f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6201963fcdd54887f2af50518bd908a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9c30ba1d73a58e4d1a56758735187e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a4e54571dc18e56f9a7a1d2f4f2cb9d.png)
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6 . 设函数
(
是常数,
).若
在区间
上具有单调性,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a067e86ae162185a04bdf862b40cd255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69b5b8c4c24eab782174c5cae1b88a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f0ab66d196443c8390a7cccc1e198c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbf600db2a4369738ca996d301d3aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8634d8998ab368115662cb0a9720fe.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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7 . 函数
的部分图象如图所示,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40899755d6535746c1ea5574a146adf7.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.![]() ![]() |
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8 . 已知函数f![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5573bb44baaac1c40952148d863ed53.png)
的部分图象如图所示,将
的图象向右平移
(T为
的最小正周期)个单位长度得到
的图象,则
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5573bb44baaac1c40952148d863ed53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2d715ba1b445b3b46dad03559ea336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecb7de5df21b8271f5a57ae223971175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f531c9fbf5b99fa85a2c9692ea1d791c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/13/0c92a818-51b5-473f-b461-a571a5f099bc.png?resizew=135)
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解题方法
9 . 若
,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d25561ff040ee4a6bb854ceb4831da0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5098415223c032d9398e8ee374659b.png)
A.3 | B.2 | C.![]() | D.1 |
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10 . 函数
(A>0,0<
<
)在一个周期内的图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/6/ea3fc872-ceb4-4805-b77b-d463a92cf0cb.png?resizew=146)
(1)求函数解析式;
(2)求
的单调递增区间;
(3)当
时,求
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec89c3bc454d209007c2b29baeeb3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/6/ea3fc872-ceb4-4805-b77b-d463a92cf0cb.png?resizew=146)
(1)求函数解析式;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65dc08f706c3f4f016db58dc239511f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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