已知在同一平面内的直线a1,a2,a3,a4,a5,…,a10,若a1⊥a2,a2‖a3,a3⊥a4,a4∥a5,…,a9⊥a10

题目

已知在同一平面内的直线a1,a2,a3,a4,a5,…,a10,若a1⊥a2,a2‖a3,a3⊥a4,a4∥a5,…,a9⊥a10
,则a10与a10有怎样的位置关系?说明理由

答案

a1⊥a10
因为a1⊥a2,a2‖a3,a3⊥a4,a4∥a5.a9⊥a10
所以a2‖a3‖a6‖a7‖a10
在同一平面内的直线a1⊥a2 a2‖a10
所以a1⊥a10