题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222438-75706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222438-73059.png)
答案
解析
试题分析:根据旋转体的对称性,不妨设正方体的一个对角面恰好在
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222438-30243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222439-80705.jpg)
设正方体的棱长为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222439-37505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222439-52476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222439-68951.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222440-85296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222440-11549.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222440-40316.png)
解得:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222440-75482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222440-11496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222441-84665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222440-11496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222441-91892.png)
核心考点
试题【抛物线绕轴旋转一周形成一个如图所示的旋转体,在此旋转体内水平放入一个正方体,该正方体的一个面恰好与旋转体的开口面平齐,则此正方体的体积是 .】;主要考察你对曲线与方程的应用等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222423-14902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222423-87493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222423-73172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222424-99369.png)
(1)求抛物线C的方程;
(2)过点M作直线交抛物线C于A,B两点,连AF,BF延长交抛物线分别于
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222424-90020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222424-90020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222409-73493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222409-11023.png)
(1)求椭圆C的方程;
(2)过点Q(4,0)且不与坐标轴垂直的直线l交椭圆C于A、B两点,设点A关于x轴的
对称点为A1.求证:直线A1B过x轴上一定点,并求出此定点坐标.
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222335-39772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222335-76484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222336-19274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222336-94908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222336-27160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222336-92113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222337-88561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222337-64392.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222335-39772.png)
(Ⅱ)设椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222335-39772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222337-53133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222337-68662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222338-60907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222338-38231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222335-39772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222338-64650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222338-37012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222339-35785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222339-38522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222339-28108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222339-28108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222339-84890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222320-66203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222320-37255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222320-56514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222320-16980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222320-29161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222321-18884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222321-40533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222321-62370.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222321-76577.png)
(Ⅱ)是否存在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222322-45395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222322-45395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222321-76577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222322-12411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222322-97817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222322-94580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222323-94471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222322-45395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222310-75571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222310-21607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222310-50955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222310-21607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222311-67870.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222310-21607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222311-50125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222311-35912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222310-21607.png)
A.椭圆 | B.双曲线 | C.抛物线 | D.圆 |
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