解:B(0,b) C(0,-b) 设D(x0,y0) ∴kBD*kCD=(y0^2-b^2)/x0^2 ∵x0^2/a^2+y0^2/b^2=1 代入得: (y0^2-b^2)/[(1-y0^2/b^2)*a^2] =b^2*(y0^2-b^2)/a^2(b^2-y0^2) =-b^2/a^2