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20 1 1 How to solve the 23rd math problem in Shanghai senior high school entrance examination?
23. (The full score of this question is 12, and the full score of each small question is 6.)

[Solution] In (1) isosceles trapezoid ABCD, AB=DC,? B=? DCB, ∫△DFC are isosceles triangles. DCB=? FCE,

DC=CF, so? B=? FCE, AB=CF, it is easy to prove that the quadrilateral ABFC is a parallelogram.

(2) Hint: The inverse theorem of the projective theorem cannot be directly used in the senior high school entrance examination, and must be proved by similar triangles.

The angle is 90? .