(2019·江苏启东中学高三开学考试)设点https://bgk-photo.cdn.bcebos.com/96dda144ad345982f943c3f31cf431adcaef8481.jpg在https://bgk-photo.cdn.bcebos.com/eaf81a4c510fd9f9fd2f7408352dd42a2834a492.jpg所在平面内,若https://bgk-photo.cdn.bcebos.com/d8f9d72a6059252df92f3c65249b033b5bb5b992.jpg,则https://bgk-photo.cdn.bcebos.com/8c1001e93901213fe2fa68bd44e736d12e2e9581.jpg与https://bgk-photo.cdn.bcebos.com/023b5bb5c9ea15ce02d6c168a6003af33a87b292.jpg的面积比为___.
(2019·江苏启东中学高三开学考试)设点https://bgk-photo.cdn.bcebos.com/96dda144ad345982f943c3f31cf431adcaef8481.jpg在https://bgk-photo.cdn.bcebos.com/eaf81a4c510fd9f9fd2f7408352dd42a2834a492.jpg所在平面内,若https://bgk-photo.cdn.bcebos.com/d8f9d72a6059252df92f3c65249b033b5bb5b992.jpg,则https://bgk-photo.cdn.bcebos.com/8c1001e93901213fe2fa68bd44e736d12e2e9581.jpg与https://bgk-photo.cdn.bcebos.com/023b5bb5c9ea15ce02d6c168a6003af33a87b292.jpg的面积比为___.
发布时间：2025-09-07 12:25:51
[解析]如图,
;设直线AO与直线BC的交点为点M,则
和
面积比为
,设
,∵
,∴
,由平面向量的基本定理得,
,解得
,∴
和
的面积比为
,故答案为
.
