若实数
、
、
、
满足
,求证:关于x的两个方程
和
至少有一个有实数根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7936359df4c926b72b48c6fdae55f12d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b76f79be89b8c6227b68eded6b675546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82210323d73addefc0fb7decde98bd02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98da87fb23c0c8463af422c812ffd074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/908bd80e2402adcb48a96e7ce59be98c.png)
更新时间:2023-10-13 12:47:45
|
【知识点】 一元二次方程根的分布问题解读
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解答题-问答题
|
适中
(0.65)
名校
【推荐1】(1)已知
有两个不相等的正根,求
的取值范围.
(2)解关于
的不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e83db480e7508cb148855d828827e202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3233ee0c694d6955391ca3bbb5ea79b1.png)
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解答题-证明题
|
适中
(0.65)
名校
【推荐2】设函数
,函数
.
(1)若函数
为奇函数,求a;
(2)若
,判断并证明函数
的单调性;
(3)若
,函数
在区间
上的取值范围是
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的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6fe56c70ed96e7f0ee48063dae9fc7.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b605bf480dc152b67ebb9ebd96200b03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8ffc84689f8573e0b641d641f895e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8573eecbc29f522671b3892ec406c50b.png)
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