名校
1 . 关于函数
有下述四个结论:
①
的周期为
;
②
在
上单调递增;
③函数
在
上有
个零点;
④函数
的最小值为
.
其中所有正确结论的编号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56bcf2f8c844018e9c5a8257bd8fb204.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e9fdc1f8ed0ae44b54a9a2a3aca2db4.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b874676f40acc855b8c83dc897090c1.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd2c5760181b2c974811564b55b65f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9845c78cb0cdedddefb2c0309a86e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9db9373e74ecf5d63ad98afe66aa4ba.png)
其中所有正确结论的编号为( )
A.①② | B.②③ | C.③④ | D.②④ |
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2 . 若函数
图象的两条相邻的对称轴之间的距离为
,且该函数图象关于点
成中心对称,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f8b4b8d77651e67b3b3d5209dae87c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4589d97df70276ce78d24015c0a8ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
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3 . 将函数
横坐标缩短一半,再向右平移
个单位长度,所得图象对应的函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/469a27966423435440f3b004225ed17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
A.在区间![]() | B.在区间![]() |
C.有一条对称轴为![]() | D.有一个对称中心为![]() |
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解题方法
4 . 已知函数
图象与直线
相交,若在
轴右侧的交点自左向右依次记为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5bb55b012d149af572f60ae7b94a8f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857f5e7c24364ed4b52896bd1b12d453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72c9f6f82b49c04be3e3c1aa4272f37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/947211e67a19f24edee0460e7cbeb592.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 如图所示,四边形
被线段
切割成两个三角形分别为
和
,若
,
,
,则四边形
面积的最大值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db492efc6bfe199d47633e6d5946ad57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ffc7d1af9053b027cf9e726f5367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d23b488f961d9fde37feb7f5c497c0d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3acb30268471a2fa15ebfa64149599c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c74822ed8bbed81237c1cea60e828ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c50139f6a560ae7bc3db3a7ed6c6140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc14344966e751af9b3e52e9572e25a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db492efc6bfe199d47633e6d5946ad57.png)
![](https://img.xkw.com/dksih/QBM/2020/3/12/2417977580396544/2423679228968960/STEM/d319178f35714f1c921179d6e4eebac4.png?resizew=114)
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6 . 已知函数
,
,
的图象关于直线
对称,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad2038b5d6ee7ae85bf73b5846e81ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ad85423712b3d18596aa1e3db04067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24db7b603aebdee8e298d1fe49c848e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6097df40627705e5c635adaf088372e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 函数
,
的值域____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c2af9bec7a791c8b357182ac74a460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bae0205e80ff2f6a8d2fe7a78d507ff.png)
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8 . 已知函数
在
上单调递增,且存在唯一的
,使得
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b324539ac6bc4252981142752022a4d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92958ad2aa85912094a77f6675c2f45b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a580959233ce3e4e084c27ea2de3131c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02425a8821d7e44ee1a76b2b8f0761c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
9 . 将函数
的图象上所有点的横坐标缩小为原来的
,纵坐标不变,再将图象向右平移
个单位,得到函数
的图象,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e436d2513cd6be6c6fdbdae3a9479a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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10 . 设函数
与函数
的图像在区间
上交点的横坐标依次为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/261c0899711077922ca479c99ffe2fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b968823edce2368203562f6ac28f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66657c50fc7c11d98381748ad69a80a2.png)
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a44ebece43a4f780e338ee1d6ddac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9cbdfe11d3728bc5bfe5501e2e5ad6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a4e54571dc18e56f9a7a1d2f4f2cb9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/261c0899711077922ca479c99ffe2fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b968823edce2368203562f6ac28f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66657c50fc7c11d98381748ad69a80a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69f817d78ba8d09082862bc467890a1.png)
A.4 | B.2 | C.0 | D.6 |
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