问题
填空题
已知
|
答案
∵点C在直线OP上,
∴设
=tOC
=(2t,t),OP
∵
=(2,1),OP
=(1,7),OA
=(5,1),OB
∴
=CA
-OA
=(1-2t,7-t),OC
=CB
-OB
=(5-2t,1-t).OC
∴
•CA
=(1-2t)(5-2t)+(7-t)(1+t)=5t2-20t+12=5(t-2)2-8.CB
∴当t=2时,
•CA
取最小值-8,此时,CB
=(4,2).OC
故答案为:(4,2).