名校
1 . 已知关于x的一元二次函数
,分别从集合
和
中随机取一个数
和
得到数对
.
(1)若
,
,求函数
在
内是偶函数的概率;
(2)若
,
,求函数
有零点的概率;
(3)若
,
,求函数
在区间
上是增函数的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffff3af5176553ea9fc6b893480e64b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.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/dbda918a66a61081cbe0ab1535f95dc4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807240ea3b409a352a2808e0100d6cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d950e89c831c2c6b311b79e155f633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9deef3cde628ed6c103c0d474b51e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d950e89c831c2c6b311b79e155f633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab670f8db5529ed608d4df72a893d397.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c0a8745f19dac560c95e348b02919a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d4a35ab4a4b6fea9e000e9e653ca93.png)
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2018-04-24更新
|
596次组卷
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3卷引用:人教A版2017-2018学年下学期高一期中考试仿真卷(B卷) 数学试题