题干

平面直角坐标系xOy中,椭圆C:
x
2
a
2
+
y
2
b
2
=1(a>b>0)的长轴长为2,抛物线E:x2=2y的准线与椭圆C相切.


(Ⅰ)求椭圆C的方程;
(Ⅱ)若直线l与椭圆C相交于A,B两点且与抛物线E在第一象限相切于点P,线段AB的中点为D,直线OD与过P且垂直于x轴的直线交于点M,求
S
P
F
G
|
O
G
|
的最小值及此时点P的坐标.
上一题 下一题 0.0难度 选择题 更新时间:2019-02-28 07:37:31

答案(点此获取答案解析)

解:(Ⅰ)由题意可知2a=2,b=
1
2
,∴椭圆C的方程为:x2+4y2=1.(Ⅱ)设P(x0,y0),(x0>0)可得

同类题2

Chris Jones 刚刚结束了一次不寻常的印度之旅,记者就此对他进行了采访。以下是采访的部分内容:

Reporter: ____

Chris: Well, it all started two years ago when I was planning a trip to India, I visited  a photographic(摄影的) exhibition of elephants and I realized that the only way to travel around India was on an elephant.

Reporter: ____

Chris: I flew to New Delhi and started looking for an elephant. I needed an elephant trained to carry people. I asked an expert for help. He taught me how to ride an elephant. He also helped me find an elephant.

Reporter: ____

Chris: Not too long, I bought a female(母的) elephant called Tara for about USD 6, 000.

Reporter: ____

Chris: Tara and I set off from New Delhi a week later. We were heading to Sonepur in northern India. And what a ride! Elephants can travel at about 6 miles an hour and Sonepur was more than 1, 200 km away. It took us 64 days to complete the journey.

Reporter: ____

Chris: Yes, a few. But nothing serious. On the third day, Tara hurt her foot. But that got better quickly. Also, there was a lot of heavy rain during the first week and we got very wet!

请根据Chris Jones 的回答,从A、B、C、D、E、F六个选项中选择恰当的问题填入相应的五个空格中。

A. How long did it take to find a suitable elephant?

B. What gave you the idea to travel around India on an elephant?

C. Did you have any problems on your journey?

D. Can you tell me the journey?

E. What did you do next?

F. An unusual journey.