1 . 设
,函数
,
,且
.
(1)当
时,若
在
上是单调递减函数,求
的取值范围;
(2)若
在
上恰有3个相异实根,求
的值;
(3)若对任意
,对任意
,都有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5198de8401a1fc58ef20404b5a9b3424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be381da62d4a042476aa11dbd5824e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6be463ed3e1f35844462cb07423568fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb27fb7aaf39a3ac169e4733605946af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998485ffeb46a0412ff1a0f814429257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/670d1bc0b42ee1976c980dd90c721ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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解题方法
2 . 若函数
在区间
上存在零点,则常数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3f7a2b0cf0df59783710ad7202ef10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8fe2fc1c9b26738cb220d4642004ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 若函数
在
上有两个零点,则
的取值范围为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4cf64de52d8e4e293b9cf4587e163f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a43ded43fac49796bcc2142670802c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
4 . 已知函数
,若关于
的函数
有6个不同的零点,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ec741db8744ffdec35fc30ac2f98f58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7d91494ebf9f6f617f7d3c81783cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
5 . 幂函数
,满足
在
上是增函数;
(1)求
的解析式;
(2)
在
内有且只有一个零点,求
的取值范围;
(3)函数
,是否存在实数
,使得
时,函数的值域为
,若存在,求出
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0083ae8fac7f0529369321260b971b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9414348d57c7fc77dcfa8f0744cb0c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ba7d871c51e77886fdae9f21f906f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b434a9b41356aa5e866f7324dd2d5b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0412f30d91f389d815eaf24dfa212da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575da82b234190b6e4c7568e3aa91e46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeec828c1fdf28a7f48ec130d76b4df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5ff1d711dd4fa82a47a65c6c68b42b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a475fec8ded321e10a6697319fb975.png)
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名校
解题方法
6 . 已知函数
的定义域为
,
,已知
时,
,则
时,
解析式为______ 若
在
有且仅有两个零点,则
的范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddb84b019a7e8ab85e6249599a72325a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d900b106c2b44b211c60b0ba9c2cf6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b8e9bb1e11d02cc2190a6e5ede4293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc046a7b475b5130da69bf537226ec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
7 . 关于
的方程
的实数解为
,则
所在的区间是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f42e07a7fe5c127a52f8fd2604d1fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-11-20更新
|
585次组卷
|
6卷引用:内蒙古赤峰二中2021-2022学年高一上学期第二次月考数学(文)试题
名校
8 . 已知函数
是定义在R上的函数,图象关于y轴对称,当
时,
.
(1)求出函数
的解析式并画出函数
的简图(不必列表);
(2)若函数
的图象与直线
的图象有四个交点,求实数m的取值范围.
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8ed92f58d44ee590c425bc741195c1.png)
(1)求出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d12362d4b8dd25813953e1c5a94b2.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db626d9139ae8592db94d62ecd0d593.png)
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2021-10-28更新
|
367次组卷
|
2卷引用:内蒙古赤峰二中2021-2022学年高一上学期第一次月考数学(理)试题
名校
解题方法
9 . 已知函数
,关于
的方程
有4个不同的实数根,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66756db49dac8df90ade83a0cf0b05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7706af947c3a3b4f2424a6977560c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2021-10-27更新
|
807次组卷
|
4卷引用:内蒙古赤峰市宁城县2021-2022学年高三上学期10月考数学(文)试题
解题方法
10 . 函数
的零点所在的大致区间是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fb1540e886528c9ca8f6b60451962f9.png)
A.(8,9) | B.(9,10) | C.(10,11) | D.(11,12) |
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