1 . 已知函数
且函数
是偶函数
(1)求
的解析式
(2)若不等式
在
上恒成立,求
的取值范围
(3)若函数
恰好有三个零点,求
的值及该函数的零点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa963c37dec9e537f6465a5372d957a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb0326c8521834089fc9e0a6db113931.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6837162ac02f26fe546c3e3c73747bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90fb48e995b7ecb20a31a01a546f7974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5e8987b861096416a4a6962af941be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
的图象过点
.
(1)求函数
的解析式;
(2)判断函数
在
上的单调性,并用单调性的定义加以证明;
(3)若
且函数
在
上的值域为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58174aed06f8b15a8341c3f5639b641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f3163295a3f1bce7db5f355adf64a4.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1aa9bc917eba6c1cd94882f062ec98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec965488c7e1cea085463c7731285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
,图象经过点
,且
.
(1)求
的值;
(2)判断并用定义证明函数
在区间
上的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f77eeecc343dd817c39a8db014809dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500272f9f312e2bc0f32e4afc058db41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e817f37f5a814e856ebc4a16d676ce.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)判断并用定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7334919736e5ed881f691e4ca738b4ce.png)
您最近一年使用:0次
2024-01-06更新
|
396次组卷
|
3卷引用:天津市河北区2023-2024学年高一上学期期中数学试题
解题方法
4 . 已知函数
.
(1)求函数
的解析式;
(2)若函数
是定义域为
的奇函数,且当
时,
,求
的解析式,并写出
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96ff37c447392196ca801ec4c00a423e.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](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/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d1a94ea3c278c2197572cc1b7725b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次
5 . 已知函数
.
(1)若
,求不等式
的解集;
(2)证明:当
时,
只有一个零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c3f25ccee8d635b7a370716cea0fd93.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/207717d14e7d941837b2613fec7694e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b3bc5ba213bb70a6fec6f2d288e73c.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4c78214e43a8b93f2a57072033cbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解题方法
6 . 已知函数
.
(1)求
的解析式;
(2)若函数
,
,
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9ae53722d872476b504b5cc3c30592.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b9485f0027d957fd5a7c8d9cdf8268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3010c07acbe166b98fc886cc846de51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cec1b7f6aa26524ec4ad47a1c4b11ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-01-03更新
|
793次组卷
|
2卷引用:辽宁省辽阳市2023-2024学年高一上学期1月期末考试数学试题
名校
解题方法
7 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b11c7d3338c464bbff51c26948092b56.png)
(1)求
,并指出其在定义域内的单调性,无需写出证明过程;
(2)已知
为
的反函数,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b11c7d3338c464bbff51c26948092b56.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d6b59f4796a45963dea76b89c72bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7371771154326488368346683a1bc8dd.png)
您最近一年使用:0次
2023-12-30更新
|
549次组卷
|
2卷引用:辽宁省沈阳市辽宁省实验中学2023-2024学年高一上学期12月月考数学试题
名校
解题方法
8 . 已知函数
.
(1)若
,求
及
的解析式;
(2)若
是在
上单调递减的幂函数,求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d99e14d5b286d0594d31c489146794fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e1a1611f320c0f358df77aaae3f942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671a883b58e7b34fc87998fdc25cef98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2023-12-29更新
|
271次组卷
|
2卷引用:广东省汕头市潮阳林百欣中学2023-2024学年高一上学期第二次阶段考试数学试题
名校
解题方法
9 . 已知函数
是一次函数,且满足
.
(1)求
的解析式;
(2)判断函数
在
上的单调性,并用函数单调性的定义给与证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e446e6e1867f6f904b1a435bb0f527b1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172340d7fe53de2ea95ca2611a89aed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
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2023-12-28更新
|
437次组卷
|
2卷引用:贵州省贵阳市第一中学2023-2024学年高一上学期教学质量监测(二)数学试卷
解题方法
10 . (1)若二次函数
满足
,且图象过原点,求
的解析式;
(2)已知
是一次函数,且满足
,求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7babb1c8121149e62cc1e1629e16660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4789d2ab1f6ed9c562fda3bdcec79a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次