如图,点A
1,A
2,A
3,A
4在射线OA上,点B
1,B
2,B
3在射线OB上,且A
1B
1∥A
2B
2∥A
3B
3,A
2B
1∥A
3B
2∥A
4B
3.若△A
2B
1B
2,△A
3B
2B
3的面积分别为1,4,则图中三个阴影三角形面积之和为______.
△A2B1B2,△A3B2B3的面积分别为1,4,又∵A2B2∥A3B3,A2B1∥A3B2,∴∠OB2A2=∠OB3A3,∠A2B1B2=∠A3B2B3,∴△B1B2A2∽△B2B3A3,∴B1B2B2B3=12=A2B2A3B3,∴A2A3A3A4=12.∵S△A2B2A3S△B2A3B3=12,△A3B2B3的...