Solution of Fill-in-the-blanks and Finals in a Mathematical Simulation Problem of Senior High School Entrance Examination

I figured it out. There are two possibilities.

When △MPC is an isosceles triangle, △MPC will be similar to triangle ABC, and the answer can be obtained by pc/ac=mc/bc (hint: mn is a straight line at this time), and the other is PC/BC = MC/AC ("/"indicates the ratio), which is expected to be adopted.

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