问题
填空题
若椭圆
|
答案
解析:PF1+PF2=2
,|PF1-PF2|=2a,m
所以PF
+PF 21
+2PF1•PF2=4m,PF 22
-2PF1•PF2+PF 21
=4a2,两式相减得: 22
4PF1•PF2=4m-4a2,∴PF1•PF2=m-a2.
故答案:m-a2.
若椭圆
|
解析:PF1+PF2=2
,|PF1-PF2|=2a,m
所以PF
+PF 21
+2PF1•PF2=4m,PF 22
-2PF1•PF2+PF 21
=4a2,两式相减得: 22
4PF1•PF2=4m-4a2,∴PF1•PF2=m-a2.
故答案:m-a2.