A simple, infinit solution

Draw BS, draw CP in parallel to BS. It can be proven that area(APS)=area(ABC).

Imagine the original ABC is reshaped into APS, which transforms the right side into a trapezoid PQRS. Locate center O of the trapezoid. Draw any line across O to cut the paper. Make sure the line doesn't interfere with the virtual area of ABS.

 

所有跟帖： 

• 过O点的平分线其实还少至少一解 -askerfor- ♂ (165 bytes) () 01/06/2024 postreply 08:49:59

• 有可能，这个题灵活性特别大，我还有一些其它想法，但不易表达 -monseigneur- ♂ (0 bytes) () 01/06/2024 postreply 11:53:54

• 对，点O就是梯形中位线的中点，好！各位都避开了过三角形重心的直线平分三角形这一误区 -万斤油- ♂ (0 bytes) () 01/06/2024 postreply 13:13:07