2018·上海浦东新·三模
名校
1 . 某作图软件的工作原理如下:给定
,对于函数
,用直线段链接各点
,所得图形作为
的图象.因而,该软件所绘
与
的图象完全重合.若其所绘
与
的图象也重合,则
不可能等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e6f0e2436b12c57b10761bf10b62ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba7c588f54fc1deaa6082359474aa8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a6dbe110df542fbe9afd9b28046edb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77935ee11695cf3966613404f78fb853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58c65d71e57e6e7697e2f627dcd58583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
2 . 已知函数
,
的定义域均为
,且
,
.若
的图象关于直线
对称,且
,有四个结论①
;②4为
的周期;③
的图象关于
对称;④
,正确的是______ (填写题号).
![](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/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde99b1c6e97508d5047f24db5671116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac5a567601c3ec9b3ef63a80b546536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a431537df789febf4bc45e3dc23cefaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed57d79c717fc8cf7ede3d9995c98359.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/619dfe49a03c16d3417af006fb252d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96ffa04830a54771969954847ce4f0f6.png)
您最近一年使用:0次
2023-03-09更新
|
639次组卷
|
3卷引用:江西省赣州市2023届高三摸底考试数学(理)试题
3 . 定义:如果任取一个正常数
,使得定义在
上的函数
对于任意实数
,存在非零常数
,使
,则称函数
是“
函数”.在①
,②
,③
,④
这四个函数中,为“
函数”的是______ (只填写序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4d59ea1fecd34b2d2526c31b5f8c23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6342e0a5a8942cfb1cf535ceb2c50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6297d03ab21d3f759defd9d2ccefb73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c75f8a6c3d891169c59fc05f0b5de437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
您最近一年使用:0次
2023-03-23更新
|
170次组卷
|
2卷引用:甘肃省兰州市2023届高三下学期诊断考试文科数学试题
4 . 已知函数
若方程
有且只有五个根,分别为
,
,
,
,
(设
),则下列命题正确的是_____________ (填写所有正确命题的序号).
①
;②存在k使得
,
,
,
,
成等差数列;
③当
时,
;④当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a696b23bf6556ef55eeeff5379080ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48dc6d0827a159050e3fa55164f258b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9b42973c53907f09f2de384c42fc5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4acd5e05f89802149b8b810c24d6ac73.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b59d678b4c4aa0ec2bb04be1b2739a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9b42973c53907f09f2de384c42fc5f.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a4eaa80b44625890339d6a0065c241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/779bc714193033c738599c30487bd42f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c12f6211f669ab04f4fe1c1b279ac2e.png)
您最近一年使用:0次
5 . 给出下列四个命题:
①命题“若
,则
”的逆否命题;
②“
,使得
”的否定是:“
,均有
”;
③命题“
”是“
”的充分不必要条件;
④
:
,
:
,
且
为真命题.
其中真命题的序号是________ .(填写所有真命题的序号)
①命题“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa3205b1df826d63914dcb55bb3ab43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5426b6d35bef718963baa87e24131c09.png)
②“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c7a319f1fb9ef4cd6bd9eb5ab0c53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27942582c0d1ae33af058d2412138298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c23a4b7f6952b9e323301bc917a94e99.png)
③命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2053e1f50472a9fed67d4c84d9cb938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10585d17770919fa97fbbfcbd59b3c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/676af6b030424b4ac5a941cbde53af05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
其中真命题的序号是
您最近一年使用:0次
2019-11-01更新
|
463次组卷
|
2卷引用:甘肃省武威市第十八中学2019年高三上学期10月月考数学试题
解题方法
6 . 已知函数
,关于
的方程
有以下结论:
①当
时,方程
恒有根;
②当
时,方程
在
内有两个不等实根;
③当
时,方程
在
内最多有
个不等实根;
④若方程
在
内根的个数为正偶数,则所有根之和为
.
其中正确的结论是__________ (填写所有正确结论的番号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1152dac89a5550489f036c7c59fc72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4d0aca3657c6d99e820e2567f18683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bccd6a6e85bdf500218a3e75b31f3c.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267e1007ff46f40af735a749d6650646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
④若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c5a01371237d9f145c03922f313fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267e1007ff46f40af735a749d6650646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d93ea6b78c16307d56cba63315d0051.png)
其中正确的结论是
您最近一年使用:0次
名校
7 . 已知函数
.
的图象;
(2)若关于x的不等式
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f9d584bc9368cfca4328d4f8501fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b911df99b2536af4461734f287007c00.png)
您最近一年使用:0次
2022-08-14更新
|
169次组卷
|
3卷引用:青海省西宁市大通回族土族自治县20221-2022学年高三开学摸底考试数学(理)试题
名校
解题方法
8 . 已知函数
是定义在
上的偶函数,当
时,
.现已画出函数
在
轴右侧的图象,如图所示.
在
轴左侧的图象,根据图象写出函数
在
上的单调区间;
(2)求函数
在
上的解析式;
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1d521b3f5d80ee3152492608fc63ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8b03af66c2b6d916b41321d7bb292f1.png)
您最近一年使用:0次
2020-04-08更新
|
546次组卷
|
4卷引用:山东省烟台莱州市第一中学2021-2022学年高三上学期开学收心考试数学试题