Question

6，7题，求详细过程

Answer 1

6)M(x,y) A(x1,y1),B(x2,y2)
x1+x2=2x,y1+y2=2y
k=y/x=√2

(y1+y2)/(x1+x2)=y/x=k=√2
解mx^2+ny^2=1和x+y=1得
（m+n)x^2-2nx+n-1=0
x1+x2=2n/(m+n), y1+y2=2-(x1+x2)=2-2n/(m+n)=2m/(m+n)
(y1+y2)/(x1+x2)=√2
2m/(m+n)/2n/(m+n)=√2
m/n=√2
n/m=√2/2
AAAAAAAAAAAAA
7)

P(C,2C)
x^2/a^2+y^2/b^2=1
c^2/a62+4c^2/b^2=1
整理得：e^4-6e^2+1=0
e^2=(6+√32)/2=3+2√2 或e^2=(6+√32)/2=3－2√2
e=√2-1 或e=1+√2（舍去）
e=√2-1
AAAAAAAAAAAAAAAAA

Answer 2

追答

以上为第6题解答

以下为第7题解答