题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231443-11328.jpg)
答案
解析
试题分析:连接OA,∵AB与AD都为圆O的切线,
∴∠OPA=90°,∠ODA=90°,
∵∠BAC=60°,∴∠PAD=120°,
∵PA、AD都是⊙O的切线,∴∠OAP=
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231443-71867.png)
在Rt△OPA中,PA=5cm,tan60°=
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231444-76212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231444-44480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231444-44480.png)
则球的表面积S=4πR2=4π•(5
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231444-44480.png)
故答案为300π
点评:中档题,一般地,见了有切线,应把圆心切点连,构造直角三角形解决问题,其中切线长定理为:经过圆外一点引圆的两条切线,切线长相等,且此点与圆心地连线平分两切线的夹角,灵活运用此定理是本题的突破点.
核心考点
试题【如图所示,水平地面上有一个大球,现作如下方法测量球的大小:用一个锐角为600的三角板,斜边紧靠球面,一条直角边紧靠地面,并使三角板与地面垂直,P为三角板与球的切】;主要考察你对点到直线的距离等知识点的理解。[详细]
举一反三
设椭圆的中心为原点O,长轴在x轴上,上顶点为A,左、右焦点分别为F1、F2,线段OF1、OF2的中点分别为B1、B2,且△AB1B2是面积为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231426-34297.png)
(1) 求该椭圆的标准方程;
(2) 若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231427-19368.png)
(3) 设直线l与圆O:x2+y2=8相交于M、N两点,令|MN|的长度为t,若t∈
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231427-74236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231427-19145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231418-34218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231419-97097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231419-12030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231419-45886.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231418-34218.png)
(Ⅱ)斜率为2的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231419-39504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231418-34218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231420-27676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231420-62667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231420-90658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231419-39504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231414-73877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231414-92368.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231405-91918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231406-72151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231406-38525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231406-60756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231406-18439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231406-31511.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231406-49115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231407-77374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231407-69767.png)
(1)求圆
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231406-18439.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231407-10935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231406-60756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231358-10157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022231358-98406.png)
A.2 | B.![]() | C.![]() | D.![]() |
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