矩形ABCD中,AE垂直于BD于E,CF垂直BD于F,BE=1,EF=2,则S=

矩形ABCD中,AE垂直于BD于E,CF垂直BD于F,BE=1,EF=2,则S=
矩形ABCD中,AE垂直于BD于E,CF垂直BD于F,BE=1,EF=2,则S=

矩形ABCD中,AE垂直于BD于E,CF垂直BD于F,BE=1,EF=2,则S=
又对称性知,DF=BE=1,CF^2=DF*(BE EF)=1*(1 2)=3; CF=根号3 矩形面积=BD*CF=(BE EF DF)*CF=4倍根号3 矩形的面积等于两条对角线