12-13高二上·湖南长沙·单元测试
1 . 已知函数
,
.
(1)记
,当
时,求函数
的单调递减区间;
(2)若对任意有意义的
,不等式
恒成立,求
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2deeb102a5c5073617c8d390f030fa77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
(1)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ea1b627136b1694cf71930f5a4d9f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(2)若对任意有意义的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4acda6b6464db27e1ec18a1522406d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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12-13高二上·湖南长沙·单元测试
2 . 过抛物线
的焦点作直线交抛物线于
两点,如果
,那么
等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4daf40bad1cc89311930cce356672354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7289f0accd61304a576da5a938ce1294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05da40a2d7dab5d6a003906ca19d4749.png)
A.10 | B.8 | C.6 | D.4 |
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11-12高二上·广东中山·期末
3 . 物体沿直线运动过程中,位移s与时间t的关系式是
. 我们计算在
的附近区间
内的平均速度![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec4d99eed244932cda8d6695e764f0c.png)
__________ ,当
趋近于0时,平均速度
趋近于确定的值,即瞬时速度,由此可得到
时的瞬时速度大小为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ff0074a9dbee4231adbf8fc3a93197b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b3f81722678085a22e479243e5fb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec4d99eed244932cda8d6695e764f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/251ee0bd9b3f845a96ba657ba5df8ffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ec93224b073409123ef0c83a701850.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
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