名校
解题方法
1 . 已知
,其中
在一个周期内的图象如图所示.则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5e2a383cb47eb87493e86c8c40caf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76bd2006f91d34ba1b915e37a6c82018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2021-08-15更新
|
793次组卷
|
4卷引用:北京市北京大学附属中学2020-2021学年高一下学期期中考试数学试题
2 . 已知定义在
上的函数
在
时取到最大值
,
的最小的正的零点为
.
(1)求
的解析式;
(2)若关于
的方程
在区间
上有实根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703b4493b66a538140dd12bb3b268a7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24db7b603aebdee8e298d1fe49c848e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f99376e6b053ffd21b179108c18c3d3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ba976dec19f3b88d79babf1bdb5ef54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aae9c8988f4a48db69cad3308942c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 已知如图是函数
(其中
,
)在区间
上的图象.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/652f9d6d-ab8b-44b6-bcc1-572aef003084.png?resizew=167)
(1)求
、
的值;
(2)设
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e4892080a918aa2127c09e8d4c28c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6af3e2115ce0aaf5b99ac70c4441d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c3fa44cbc26b004217b9fc559839e1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/652f9d6d-ab8b-44b6-bcc1-572aef003084.png?resizew=167)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/740bfb1914a504af4eb736a944df74f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba853dfb8113dc3ac740ff77b8369a6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
4 . 已知函数
(
,
,
)的部分图像如图所示,点
为
与
轴的交点,点
分别为
的最高点和最低点,若将其图像向右平移
个单位后得到函数
的图像,而函数
的最小正周期为4,且在
处取得最小值.
![](https://img.xkw.com/dksih/QBM/2021/4/28/2709721775808512/2786197370281984/STEM/b2dce095afe04d59af27913e7b149d1a.png?resizew=203)
(1)求参数
和
的值;
(2)若点
为函数
的图像上的动点,当点
在
之间(包含
)运动时,
恒成立,求实数
的取值范围;
(3)若
,
是
函数图像上的两点,满足
与
共线,且
的中点不在函数
的图像上,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5e2a383cb47eb87493e86c8c40caf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8114625c484d5ecfab3828b0b9c88d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689bb978cb711d155906223095362f98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdba36d4c2d4acedbd44d08e4c04127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://img.xkw.com/dksih/QBM/2021/4/28/2709721775808512/2786197370281984/STEM/b2dce095afe04d59af27913e7b149d1a.png?resizew=203)
(1)求参数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdba36d4c2d4acedbd44d08e4c04127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdba36d4c2d4acedbd44d08e4c04127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541804a860732c41f47c087ff257c38f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8198c3b302b3820e86763428eb1e91cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3463ced6030af957f13f9ba05b977c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d5078ed74706f157833c455c25dac50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0762365cf0afd8d6966d7d3407e2ade0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab8b7b6e6ce96d630c44733bfc09847.png)
您最近一年使用:0次
2021-08-14更新
|
297次组卷
|
2卷引用:湖北省武汉市部分重点中学(省实验中学等)2020-2021学年高一下学期期中联考数学试题
解题方法
5 . 已知函数
的部分图像如图所示,则下列关于函数
的说法中正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/5dfbf804-cad4-4348-abb6-43a40f84ef0f.png?resizew=181)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8624d648ceb7994931506e22b208935e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/5dfbf804-cad4-4348-abb6-43a40f84ef0f.png?resizew=181)
A.函数![]() ![]() | B.函数![]() ![]() ![]() |
C.函数![]() | D.函数![]() ![]() |
您最近一年使用:0次
2021-08-14更新
|
456次组卷
|
2卷引用:湖北省武汉市部分重点中学(省实验中学等)2020-2021学年高一下学期期中联考数学试题
名校
解题方法
6 . 已知函数
(
,
)只能同时满足下列三个条件中的两个:①函数
的最大值为2;②函数
的图像可由
的图像平移得到;③函数
图像的对称中心到对称轴的最小距离为
.
(1)请写出这两个条件的序号,并求出
的解析式;
(2)在
中,内角
,
,
所对的边分别为
,
,
,且
,
,求
周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c79629f5afcb2fb3afabcc9b850759a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b7fb9431390856005cf3e7d43412f33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)请写出这两个条件的序号,并求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55e137fdfa2ccbf958042ccbc0119ce1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2021-08-14更新
|
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2卷引用:湖北省武汉市部分重点中学(省实验中学等)2020-2021学年高一下学期期中联考数学试题
名校
7 . 已知函数
在区间
上单调,且对任意实数x均有
成立,则φ=___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/637277f91f9b1ac3fd70256a8a69c995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd9be5589373ca5abd8c81a08954196.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643b2325d18cdf88cf8a27f378025f83.png)
您最近一年使用:0次
2021-08-14更新
|
648次组卷
|
7卷引用:北京市海淀区2020-2021学年高一下学期期中数学试题
8 . 如图是函数
的部分图像,则
( ).
![](https://img.xkw.com/dksih/QBM/2021/5/5/2714413465001984/2784584169914368/STEM/e0ac29745682465fba7f8bc2378700a5.png?resizew=174)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa8d09a35996e142857c6b1200a0f407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
![](https://img.xkw.com/dksih/QBM/2021/5/5/2714413465001984/2784584169914368/STEM/e0ac29745682465fba7f8bc2378700a5.png?resizew=174)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
9 . 函数
(
,
,
)的部分图象如图所示,则下列结论正确的( )
![](https://img.xkw.com/dksih/QBM/2021/5/18/2723788969590784/2784530116812800/STEM/6c83c9e2cab844b9a511f67474306717.png?resizew=187)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5e2a383cb47eb87493e86c8c40caf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6af3e2115ce0aaf5b99ac70c4441d1.png)
![](https://img.xkw.com/dksih/QBM/2021/5/18/2723788969590784/2784530116812800/STEM/6c83c9e2cab844b9a511f67474306717.png?resizew=187)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
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10 . 函数
(
,
)的部分图象如图所示,则函数
的解析式为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/18/5c2c7e90-28f2-42a8-af97-8037c3cc6b69.png?resizew=211)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a067e86ae162185a04bdf862b40cd255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89040554aa79926881b74fe954e4d08a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/18/5c2c7e90-28f2-42a8-af97-8037c3cc6b69.png?resizew=211)
A.![]() | B.![]() |
C.![]() | D.![]() |
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