Question

英文数学题，求大神解答！！

Answer 1

由三角形全等求得的结果：

Answer 2

画两个线段 KL, MN, 它们在点 O 互相平分。在 KN 上标记一个点P, Q是PO 和 ML 的交点。证明 O 是 PQ 的中点 (首先列出已知条件和需要证明的结论)

given: KO = OL; MO = ON; P, O, Q on the same straight line
to be proved: PO=OQ

consider the 2 triangle KON and LOM:
KO = OL
angle KON = angle LOM
ON = OM
the 2 triangles KON and LOM are congruent triangles (SAS)
angle KNO = angle LMO

ON = OM
angle PON = angle QOM

the 2 triangle PON and QOM are congruent triangles (ASA)

so, PO = QO
q.e.d.