名校
解题方法
1 . 设二次函数
,其中a、b、
.
(1)若
,
,且关于x的不等式
的解集为
,求a的取值范围;
(2)若a、b、
,且
、
均为奇数,求证:方程
无整数根;
(3)若
,
,
,求证:方程
有两个大于1的根的充要条件是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bd0587f5d6a3b5db9e4a93e0dbc0ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0097ca400d4619a94c4282c1ef6ec68e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc79fc7d6e7833101505a1c580c1cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08bba080fe4336421f306a59aac6905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857ccd351aea0dad6e140c154fe3bbf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(2)若a、b、
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec51bd5ed46b369b1d80e6c73562bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74156327e5659301f391814605688899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3bf354a45ece05ebea7ccd98319acfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3096c0020644b137bfd65b4af9a24308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75cc846e65dc041e856dc618583ccea.png)
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