如图,点A1,A2,A3,A4在射线OA上,点B1,B2,B3在射线OB上,且A1B1∥A2B2∥A3B3,A2B1∥A3B2∥A4B3.若△A2B1B2,△A3B2B3的面积分别为1,4,则图中三个阴影三角形面积之和为_.

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如图,点A1,A2,A3,A4在射线OA上,点B1,B2,B3在射线OB上,且A1B1∥A2B2∥A3B3,A2B1∥A3B2∥A4B3.若△A2B1B2,△A3B2B3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...