1 . 将函数
的图像向右平移
个单位,再将横坐标变为原来的
,纵坐标不变得到函数
的图像.
(1)求函数
的解析式;
(2)若函数
在
上恰有两个零点,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923078510697d5f7f9ea392eb76dd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe458dacd95f24540bdaaa5e5506a3e.png)
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2 . 已知函数
,
,
,若函数
的所有零点依次记为
,且
,
若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/024ae20c7e4202c32f8af3e55bedcaa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4320d335ff4b89ae76aebcad1665715.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745b580e4b155ff4f931fbaa7fde55f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8787195c89953c9a25db95c41a4bd9d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0494c6d226729dd902a2940ab7228fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe4aaa53a7a9a582b9c68bc2c06ec28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b14c78bbc6e3142533110098ef498d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9126123e86bfb5eda20aeb025875f099.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知函数
,
(1)若
,函数
在区间
上单调递增,求
的取值范围;
(2)若
,
,求函数
在
上的值域;
(3)若
,函数
在
内没有对称轴,求
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d58ebc68f8481976fdcbf3535c4527.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/590e165e407098fcac9f871beb047dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a908cff3963ed5281930402c853b0b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dcee772e6187ac31d7f8d69b0487000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d47dbed3333b180fce58a6d9e440f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d47dbed3333b180fce58a6d9e440f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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名校
4 . 已知
,其中
,满足以下三个条件:(1)函数
的最小正周期为
;(2)函数
的图象关为直线
对称;(3)函数
在
上是严格减函数.则函数
的表达式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4f29a473e9757d8f24f627f52e9e15.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ca1100b456583c791b802ea0b12cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92db0e98ec7642e59d61273a9182d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c63e1c64c42b7f3b7fdc396d4756cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/785402fa07a9da57855f71551c4f0d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4f29a473e9757d8f24f627f52e9e15.png)
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名校
5 . 已知
,其中
.若函数
在区间
上有且只有一个最大值点和一个最小值点,则
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad6517ab3e70d42d196d749465734651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c3c33511e59ff6e2f8078de2f06ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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2024·全国·模拟预测
6 . 已知函数
,若
的图象在
上有且仅有两条对称轴,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611792520f93bc93445492610823eac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb4b61d912f99e5583e7e17cf8fef558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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7 . 函数
的相邻两条对称轴之间的距离为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c84ed64c92bf82ddc2aede49bb7b8f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
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名校
8 . 已知函数
的图象关于直线
对称,若集合
中有两个元素,则正整数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026036d1ed5f1bad77e7b2ffd9daebef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86c847b5c596b715a770da97be96390.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
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2024-03-27更新
|
109次组卷
|
2卷引用:上海市上海财经大学附属北郊高级中学2023-2024学年高三下学期期中考试数学试题
名校
9 . 已知函数
的初始相位为
,若
在区间
上有且只有三条对称轴,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/308f2fc52806de20486b103d3fffdebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
10 . 已知函数
.
(1)某同学打算用“五点法”画出函数
再某一周期内的图象,列表如下:
请填写上表的空格处,并写出函数
的解析式;
(2)若函数
,将
图象上各点的纵坐标不变、横坐标扩大到原来的2倍,再向右平移
个单位,得到函数
的图象,若
在
上恰有奇数个零点,求实数a与零点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e613ec74a2f330b57a235439510dc5.png)
(1)某同学打算用“五点法”画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
x | ![]() | ![]() | ![]() | ||
![]() | 0 | ![]() | ![]() | ![]() | ![]() |
![]() | 0 | 1 | 0 | ![]() | 0 |
![]() | 0 | ![]() | 0 | 0 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfa338e78c528663f0602c60f3f594d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdb2704ea6bc44b5a75fb3c8a100353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aab44d48c65864b1f46ea3647437bbe.png)
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