10-11高三·江苏·单元测试
1 . 已知二次函数
的图象与x轴有两个不同的公共点,且
,当
时,恒有
.
(1)当
时,求不等式
的解集;
(2)若以二次函数的图象与坐标轴的三个交点为顶点的三角形的面积为8,且
,求a的值;
(3)若
,且
对所有
恒成立,求正实数m的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/744ec8f539c181ba886cf7d372a572a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c52060e238cf1e17a8101f2c47121c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfcdd49e3b1e34d8cbc870d9ee8a3d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b6e9fcc4de7ed2b2b370b4782e9280a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(2)若以二次函数的图象与坐标轴的三个交点为顶点的三角形的面积为8,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd0adc31c270fb2b10563d6e776d477.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61c9a7ed0961f8977a21dab37aab396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc899dff95c6cb8f085e77f2f12f5503.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50de128442f1c3bd280536bf1d46c570.png)
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