问题
选择题
(中应用举例)已知偶函数f(x)满足:f(x)=f(x+2),且当x∈[0,1]时,f(x)=sinx,其图象与直线y=
|
答案
依题意P1,P2,P3,P4四点共线,
与P1P3
同向,P2P4
且P1与P3,P2与P4的横坐标都相差一个周期,
所以|
|=2,P1P3
|
|=2,P2P4
•P1P3
=|P2P4
||P1P3
|=4.P2P4
故选B
(中应用举例)已知偶函数f(x)满足:f(x)=f(x+2),且当x∈[0,1]时,f(x)=sinx,其图象与直线y=
|
依题意P1,P2,P3,P4四点共线,
与P1P3
同向,P2P4
且P1与P3,P2与P4的横坐标都相差一个周期,
所以|
|=2,P1P3
|
|=2,P2P4
•P1P3
=|P2P4
||P1P3
|=4.P2P4
故选B