名校
解题方法
1 . 下列说法中正确的是( )
A.函数![]() ![]() ![]() |
B.在等差数列![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() |
D.已知平面![]() ![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
2 . 求范围和图象:
(1)
的函数图象先向左平移
个单位, 然后横坐标变为原来的
,得到
的图象,求
在
上的取值范围.
(2)如图所示, 请用“五点法”列表,并画出函数
一个周期的图象.
![](https://img.xkw.com/dksih/QBM/2022/3/14/2927732832747520/2937564027559936/STEM/69418aa885c148baad8dd40f0ed7084e.png?resizew=297)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3162d2c7b650bba3e401ffbb1e13bb45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.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/f457df0f9d14437a7f0443bb297e6ee8.png)
(2)如图所示, 请用“五点法”列表,并画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c3d302e263382a01339fa43fece182.png)
![](https://img.xkw.com/dksih/QBM/2022/3/14/2927732832747520/2937564027559936/STEM/69418aa885c148baad8dd40f0ed7084e.png?resizew=297)
![](https://img.xkw.com/dksih/QBM/2022/3/14/2927732832747520/2937564027559936/STEM/c7574a95-f8a7-44e7-a7fd-3fb3a5f67026.png?resizew=376)
您最近一年使用:0次
2022-03-16更新
|
758次组卷
|
3卷引用:广西壮族自治区钦州市浦北县浦北中学2023-2024学年高一下学期3月月考数学试题
3 . 已知定义域均为
的奇函数
和偶函数
,满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.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/09f8ae341f116945011f218495c9daa3.png)
A.![]() ![]() |
B.![]() |
C.当![]() ![]() ![]() |
D.函数![]() ![]() ![]() |
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名校
4 . 下列结论正确的是( )
A.在锐角![]() ![]() |
B.若![]() ![]() |
C.将![]() ![]() ![]() |
D.若函数![]() ![]() ![]() |
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5 . 设函数
,若将函数
的图象向右平移
个单位长度后得到曲线
,则曲线
关于
轴对称.
(1)求
的值;
(2)若直线
与曲线
在区间
上从左往右仅相交于
三点,且
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585a3c8c2c9ea53b96f76cd1cb9d6416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdaf49f9611922348aa2784465da614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d12362d4b8dd25813953e1c5a94b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e28cc90f3ab5b1f9cc083cc21b0ff3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
解题方法
6 . 已知函数
,将函数
的图象上的点纵坐标不变,横坐标变为原来的
倍,再向右平移
个单位长度,得到函数
的图象.
(1)写出函数
的解析式;
(2)试判断
,
,
的大小;
(3)如果函数
的定义域为
,若对于任意
,
,
,
分别为某个三角形的边长,则称
为“三角形函数”.记
,当定义域为
时,
为“三角形函数”,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/368c73c5b1fc66954165a11ebd9bba5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ce6538c92bc0e9d9472b8077f51e79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(1)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7200b19ef5b480d90ceacc189fe181b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d2e52a48a1354e7332e62aa1400104.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87ff3d50d490895bfdd15748cbc56e7c.png)
(3)如果函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c745613b6793bc25c3294ea4fdf7a288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0147d2411613220845231f6fe0cac0bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f0f5e409eba7972181c22b1e130316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51dda51f07086ef1e52ccd5fc5e32a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/317285a1c0d9ca521bc08812a82857f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da0b1b34a0cb69bd9e0a4622b6352968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7 . 已知下列命题:
①函数
的单调增区间是
.
②要得到函数
的图象,需把函数
的图象上所有点向左平行移动
个单位长度.
③已知函数
,当
时,函数
的最小值为
.
④已知角
、
、
是锐角
的三个内角,则点
在第四象限.
其中正确命题的序号是_____________ .
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c99aac52fb36e39629166cb002e247bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91c41281c640df1d3cf62fd1c4205daf.png)
②要得到函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4deaac6b6a9e2f0d71bc09e191999ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
③已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab9f23137d179abffff9189578ff0e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf8eca68c4c7478f412183aa275fc7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0ee1a5b897f98c7cef8f90bcf07067.png)
④已知角
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63eb26e976b64016de279c68beee71d5.png)
其中正确命题的序号是
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8 . 已知函数
,满足______.
(1)求
的解析式,并写出
的单调递减区间;
(2)把
的图象向右平移
个单位,再向上平移
个单位,得到函数
的图象,若
在区间
上的最大值为
,求实数
的最小值.
在①函数
的一个零点为0;②函数
图象上相邻两条对称轴的距离为
;
③函数
图象的一个最低点的坐标为
,这三个条件中任选两个,补充在上面问题中,并给出问题的解答.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ee58fca2a7ccf244760b5ef7fd18d9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97cb4449813281f46fdfaa54bf9bf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
在①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b7250030b6b7e5a477e4a596367346.png)
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9 . 函数
的图象向右平移
(其中
)个单位得到曲线
,若
在
处的切线方程是
,则曲线
的一条对称轴方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a7adda5ecdb6245e9229bc047e7ca3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb61a448347a3f8c1f126d1c00730cc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2f4a9558e7322268b0cac11c9d9739.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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10 . 下列说法正确的是( )
A.函数![]() ![]() ![]() |
B.已知函数![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.已知函数![]() ![]() ![]() ![]() ![]() |
D.将表的分针拨快10分钟,则分针转过的角的弧度数是![]() |
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