名校
解题方法
1 . 函数
的大致图象是( )
参考公式:对于函数
,若
与
在
处可导,且
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42cb6520e9ee7169f110e46ea9bfd0c7.png)
参考公式:对于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cafeb946558c7e253f025c410e18ba4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0feda45cb840b1f30f3241998d82e5a3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2022-06-06更新
|
204次组卷
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2卷引用:河南省郑州市新郑市2021-2022学年高二下学期期末数学试题
名校
2 . 若函数
的定义域为
,如果对
中的任意一个
,都有
,且
,则称函数
为“类奇函数”:若某函数
是 “类奇函数”,则下列说法中,正确的有______
①若
在
定义域中,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1686813eccd14facd717d1c89868b029.png)
②若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4469fff3e1a8b00a6a02b00f0589372.png)
③若
在
上单调递增,则
在
上单调递减
④若
定义域为
,且函数
也是定义域为
的“类奇函数”,则函数
也是“类奇函数”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5a0d678e8e58627e5b6455f5a7ca6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/298612fa7fe4249b294c8e9335efc072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1686813eccd14facd717d1c89868b029.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b993e7075324e807bb013de88293d95a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4469fff3e1a8b00a6a02b00f0589372.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e64ba8593537d13752713ecc882cd5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd1066af39045e7b66b165977f9ccb74.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74314814cdc6fb803abb4692458af131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69cb9683924fb55e304e5bdc3724dc56.png)
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3卷引用:辽宁省铁岭市昌图县第一高级中学2021-2022学年高二下学期期末数学试题
3 . 下列判断错误的是:( )
A.如果一个函数的定义域关于坐标原点对称,那么这个函数为偶函数; |
B.对于定义域为实数集![]() ![]() ![]() |
C.解析式中含自变量的偶次幂而不含常数项的函数必是偶函数; |
D.既是奇函数又是偶函数的函数存在且唯一. |
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21-22高二·江苏·课后作业
4 . 对于函数
,如果
(c为常数)对定义域中的每个自变量
均成立,那么
一定是函数
的最大值吗?如果
对定义域中的每个自变量
均成立,那么
一定是函数的最大值吗?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e027e4901be30f64cf38ce2ea45fa4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a4cfcf05e9cbd9db843ccfd57bfa9a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03e483e8a37a8e0e1fb327f99ad93ea.png)
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解题方法
5 . 设
,
,若
,其中
是自然对数底,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279dac0a479f9f605b5d0582a386427f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
6 . 请从下面两个条件中任选一个,补充在下面的横线上,并解答.①
;②
.
已知函数
.
(1)选择 ,求
的值;
(2)在(1)的条件下,求
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34e9794d31b207750914222a39d9036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf116ecbdb894c1d05d5b3b5203c10a6.png)
已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3babdc3d07579c8ad2bbdd1809eee864.png)
(1)选择 ,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)在(1)的条件下,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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3卷引用:江苏省南京市第一中学2021-2022学年高二下学期5月阶段性检测数学试题
名校
7 . 定义
,
为不超过x的最大整数,例如
,
,
,若区间
(
为正整数)在数轴上任意滑动,则区间
取盖数轴上整数的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a387be99df1a08eeb3e5c7a001942aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c7388c96da7afc1e3a873eed6445c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/468a718f41c3efbe92c282fd4e9b2c89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33791bb430f4f1ee9e399a384400b2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc378f648640ad5ff52e2a843675fd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5卷引用:河南省信阳市2021-2022学年高二下学期期末数学(文)试题
名校
解题方法
8 . 若直线
与曲线
相交于
,且
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969039f74bce78b9858111b558dde1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35644a7d25d0410409238f52c8818083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579e25d11735baa04f503c0eb990ebf4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2卷引用:重庆市万州第二高级中学2021-2022学年高二下学期六月第二次质量检测数学试题
21-22高二·江苏·课后作业
9 . 设
是减函数,试确定
的符号.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fbe26c7d3be3755f5f98244c2d7e50.png)
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10 . 在下列说法中
①若函数
定义域为
,
,则其值域为
;
②已知
,对于任意
,
,且
,都有
;
③函数
,
且
的图象不过第一象限,则
,
;
④函数
与
的图象有且只有三个公共点;
⑤不等式
对满足
的一切实数
都成立,则
;
⑥定义:如果对任意一个三角形,只要它的三边长
,
,
都在函数
的定义域内,就有
(a),
(b),
(c)也是某个三角形的三边长,则称
为“三角形型函数”.函数
,
,
是“三角形型函数”.
其中你认为正确的有__ ;
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a04546d92fd165fc1ad2cc82c2dbb25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f124fb9eab689c537bb5ddf5012e35f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/540b1c1d264521bb5d94b24789101793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a1850af7f41943dc2d09017410727f.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af07d272da54872ad5a5d2c8181760af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1a5699410baa270f3fa8153ab346e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95b2a374ef051a3aadaf5cc2ed055b7.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f989737e3cc5ec3a8d6b798a05a9dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d74d706d2e4392e25016e9101d07ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbea4ca0ff380f26dfe064a4f1921504.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
⑤不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05b0432e78aca5cc51aac1caa12a1d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138191693e902bc728981bc6b399f702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e8b1b2f02a67f9419e76cce7d568ac.png)
⑥定义:如果对任意一个三角形,只要它的三边长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635e48dd8da911c43ec55a368aa6debc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9c607fe139845fac91b6f00c10b33f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7ddb5245cbaa046b6e554dcb540a88.png)
其中你认为正确的有
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