名校
1 . 已知
是定义在
上的奇函数,当
时,
,且
.
(1)若当
时,
求实数
,
,
的值;
(2)在(1)条件下,若关于
的方程
有两个不同的实数根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/331d5e308cd5469e0f28a8d75f79903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1a07a770eaec7b2d0d9b817b3fae07.png)
(1)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc4136bd17997e11a7f8abcb19f9018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb5046c894b19781f04c14f8f183d73.png)
![](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)
(2)在(1)条件下,若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da3b8ccca4d8f9f70f2898f528526b9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-09-01更新
|
478次组卷
|
4卷引用:安徽省六安市霍邱县第二中学2019-2020学年高二下学期段考数学(文)试题
名校
2 . 已知函数
.
(1)当
时,求函数
的极小值;
(2)若函数
在
有
个零点,求实数
的取值范围;
(3)在(2)的条件下,若函数
在
的三个零点分别为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e081f71a5850c46eda3efb62e53391c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51e2b8f615b2cc7eca7fda25efb507d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)在(2)的条件下,若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd2c5760181b2c974811564b55b65f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7334919736e5ed881f691e4ca738b4ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e49909f4435d16286a2fe1bd580b0d1.png)
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名校
3 . 已知一元二次方程x2+(1+a)x+a+b+1=0的两个实根为x1,x2,且0<x1<1,x2>1,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/346aa47cc2771696c108a36a316bfcb0.png)
A.(-2,-![]() | B.(-1,-![]() | C.(-2,![]() | D.(-1,![]() |
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