解题方法
1 .
,
,
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6680d904753271c94e420f36d00a9def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9304a6faa26da448088cf9da9c9e0115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ddc603803a09f8bb4f148aea8606d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
2 . 函数
(
,且
)恒过的定点是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2070abf71953a1b5a7be4240879ce68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
您最近一年使用:0次
2024-02-05更新
|
384次组卷
|
4卷引用:河北省保定市清苑区清苑中学2023-2024学年高一下学期入学考试数学试题
名校
解题方法
3 . 设
,
,
,则a,b,c的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef2a45773db8d347f0cfa4e4fca7fd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c94257d0d3d59e005960f6d265e6e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02ab3493b1dc6091d7ae02b7cf55aaf6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-05更新
|
451次组卷
|
4卷引用:河北省保定市清苑区清苑中学2023-2024学年高一下学期入学考试数学试题
名校
解题方法
4 . 若函数
满足:对于任意正数m,n,都有
,且
,则称函数
为“速增函数”.
(1)试判断函数
与
是否为“速增函数”;
(2)若函数
为“速增函数”,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011d80b72b1101c0fd109f3db7d0e46a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2997026bfbee09bd1fee6e4ef3ae5b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)试判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ecf10185cd2734f0a837450462cf58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdec6ffa8a55db385a219a59a0c4b7c5.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daeb6aa67bf482045280f5d310d99782.png)
您最近一年使用:0次
2024-02-04更新
|
182次组卷
|
2卷引用:河北省郑口中学2023-2024学年高一上学期期末考试数学试题
解题方法
5 . 已知函数
.
(1)求函数
在
上的最小值;
(2)设函数
,若对任意
,总存在
,使得
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e376c842a2c9d28900db4c9e3751c8b4.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2255fecbb20f929e7c4b615d7c74a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4d12088d1da3a854149232e3b65e894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1818659b9825abf1b36205eeac80274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
6 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dbf915d981d8455fc1fd2603e8672f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b08287d7c5f2e2f50219b39774c686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da232cfe09737d26f8ad64e9aaf99e50.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知集合
,
.
(1)求集合
;
(2)若
,函数
,求函数
的定义域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65a02e056c83945f168a5fd17bbff47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddafc42bc0448a86814f67cb3d17f63b.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/917864013a52e1549f717f86f7569954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89c265f97261810d18fdd2b61936db4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
解题方法
8 . 已知函数
.
(1)若
,根据函数单调性的定义证明
在
上单调递减;
(2)由奇函数的图象关于原点对称可以推广得到:函数
的图象关于点
中心对称的充要条件是
.
据此证明:当
时,函数
的图象关于点
中心对称.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f016b1550b070f314cb4e0f6cc36ea3d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02f266bd253738e315e84231235f0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(2)由奇函数的图象关于原点对称可以推广得到:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827539d066d1b78e7ef8bc1569864971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efba78e88fe6b52f0d602b3749c6fc49.png)
据此证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef6d3dd89c1f9696320616f569d1d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dc1ceb62351e17b3571798d9e3179ec.png)
您最近一年使用:0次
9 . 已知定义在
上的函数
,是奇函数,且
.
(1)求实数a,b的值;
(2)判断函数
在R上的单调性,并用函数单调性的定义证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc01ab237dee0b957b34d548f578118c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a5a5020a42f6ed445a7065b0d27328.png)
(1)求实数a,b的值;
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
您最近一年使用:0次
10 . 求解下列问题:
(1)计算:
;
(2)若
,
,求
的值.
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb22a13d94837a9edf14f73169a6051.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b7e833d4d8ba77347b2f61c60f915c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6cdb795ef1f715299b6ad9912ea6b9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a5625448c60fd2640c13c5f6b4238b2.png)
您最近一年使用:0次