tanA-cotA=2
tan^2+cot^2=(tanA-cotA)^2-2tanA*cotA=2^2-2*1=2
sinA+cosA=m,sinA·cosA=n
sinA^2+cosA^2=1
m^2-2n=1
select C
BD=9
勾股定理:AB^2=13^2=AC^2+BC^2=CD^2+AD^2+CD^2+BD^2=2*CD^2+4^2+9^2
解得:CD=73/2(再开方)
tanA-cotA=2
tan^2+cot^2=(tanA-cotA)^2-2tanA*cotA=2^2-2*1=2
sinA+cosA=m,sinA·cosA=n
sinA^2+cosA^2=1
m^2-2n=1
select C
BD=9
勾股定理:AB^2=13^2=AC^2+BC^2=CD^2+AD^2+CD^2+BD^2=2*CD^2+4^2+9^2
解得:CD=73/2(再开方)