1/a²+1/b²=1/h²?
设AB=c;
SRT△ABC=AC*BC/2=AB*CD/2
b*a=c*h
ab=ch
a²+b²=c²
1/a²+1/b²
=b²/(ab)²+a²/(ab)²
=(a²+b²)/(ab)²
=c²/(ch)²
=1/h²
1/a²+1/b²=1/h²?
设AB=c;
SRT△ABC=AC*BC/2=AB*CD/2
b*a=c*h
ab=ch
a²+b²=c²
1/a²+1/b²
=b²/(ab)²+a²/(ab)²
=(a²+b²)/(ab)²
=c²/(ch)²
=1/h²