1、∵DE‖AB
∴OD/OA=OE/OB
∵EF‖BC
∴OF/OC=OE/OB
∴OD/OA=OF/OC
2、(1)AC/CD=CB/CA ∠C=∠C △ACD∽△BCA
(2)∠CAD=∠B ∠C=∠C △ACD∽△BCA
(3)∠ADC=∠BAC ∠C=∠C △ACD∽△BCA
(4)AC/CD=AB/BC ∠B和∠C无法判断 △ACD和△BCA不相似
(5)AD/CD=AB/AC ∠ADC和∠BAC无法判断 △ACD和△BCA不相似
3、∵△ABC∽△ADE
∴∠BAC=∠DAE
∴∠BAC-∠DAC=∠DAE-∠DAC
∴∠BAD=∠CAE
∵△ABC∽△ADE
∴AB/AC=AD/AE
∴△ABD∽△ACE