问题
填空题
已知△ABC的外接圆的圆心O,BC>CA>AB,则
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答案
∵△ABC的外接圆的圆心O,BC>CA>AB,∠A>∠B>∠C,设△ABC的外接圆的半径为R,
∴cosA<cosB<cosC,
•OA
=OA×OB×cos2C=R2cos2C,OB
•OA
=R2cos2B,OC
•OB
=R2cos2A,由上知,cos2A<cos2B<cosC,OC
故答案为
•OA
>OB
•OA
>OC
•OB
.OC