1 . 将函数
的图象向左平移
个单位长度后得到函数
的图象,再把函数
的图象上每一点的横坐标缩小到原来的一半(纵坐标保持不变),得到函数
的图象,则函数
的图象的一条对称轴的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53df713bc1c521c599aca9f6f38f4454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcf8193aaa40bcd8a82e71b49a673256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知函数
.
(1)求函数
图象的对称轴方程;
(2)若方程
在区间
上恰有两个解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9524f81afefceb56e60a32c42a5b5b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8b002680c476b8323c4b67e8bc999e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbae0d22d931ac42b565c7990764a2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 已知函数
.
(1)求函数
的单调递增区间;
(2)求函数
在区间
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be45f3b48abe26caa4bc6e1d321d236.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aff57d441c381944fe63f3fb7091c3d.png)
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4 . 已知函数
.
(1)求
的最小正周期;
(2)求
的单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b95236b0bdb1794b7f93f2e4de44628.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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5 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759c95f401b1179d312c864db360b45e.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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6 . 函数
.若
两相邻对称轴之间的距离为
.
(1)求
的单调增区间;
(2)若
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aafe67aa1f6570bdb4db1d23c66e2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d14badf3364db7a2cf24352cc24ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f55b8836b41be612a52ca9caf97006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
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名校
7 . 已知向量
,
,
.
(1)求
在
上的值域;
(2)求函数
图象的对称中心坐标和对称轴方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc061533cecfb8cdb7bbb9a88056cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91377e911bca05e85d5ffeb445417d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7b2150ed88d3ffdec3d142617eacf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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8 . 已知向量
,函数
的最小正周期为
,
(1)求
的解析式和单调递增区间;
(2)求函数
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33156ccbd78ca35267268f2ec9f1c282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a029d3e7df3aebee0479179982f555c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
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9 . 如图是函数
图象的一部分.
的解析式;
(2)求函数
的单调区间;
(3)记方程
在
上的根从小到大依次为
,若
,试求
与
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced48ce9a84a38ebf04e475b26ece1e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)记方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f43474917a1f0042a55b745e6c62c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12edfddcb5e722f14d499e032e834735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3ebef187c4924f0cc15e28d788f8bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665fd7b2f65fe31070093da33d467361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7日内更新
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136次组卷
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2卷引用:河北省张家口市2023-2024学年高一下学期期末考试数学试题
10 . 已知函数
(
,
,
)的部分图象如图所示,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20be4abeb3c2da2f31c090ed4b50313a.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/89040554aa79926881b74fe954e4d08a.png)
A.函数![]() ![]() ![]() ![]() |
B.函数![]() ![]() |
C.函数![]() ![]() ![]() |
D.函数![]() ![]() ![]() |
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