(1)∵ABCD是正方形,∴AB=AD,∠DAB=90°,
∵AE=BF=
| 1 |
| 3 |
∴AF=
| 2 |
| 3 |
∴EF=
| ||
| 3 |
∴EF:AE=
| 5 |
则EF:AE的值为
| 5 |
(2)过E、F点作EG⊥AC于G,FH⊥AC于H,
∵S△APF=2S△APE;S△APE+S△APF=S△AEF,
∴S△APF=
| 2 |
| 3 |
∴S△AEF=AE•AF÷2=
| 1 |
| 3 |
| 2 |
| 3 |
| 1 |
| 9 |
∴S正方形ABCDy=S△ABC-S△AFP=
| 1 |
| 2 |
| 2 |
| 27 |
| 23 |
| 54 |
| 1 |
| 3 |

(1)∵ABCD是正方形,| 1 |
| 3 |
| 2 |
| 3 |
| ||
| 3 |
| 5 |
| 5 |
| 2 |
| 3 |
| 1 |
| 3 |
| 2 |
| 3 |
| 1 |
| 9 |
| 1 |
| 2 |
| 2 |
| 27 |
| 23 |
| 54 |