偶函数
定义在R上的偶函数f(x)满足f(x)满足f(x)=f(x+2),当x∈[3,5]时,f(x)=2-|x-4| , 则( )
A. f(sinπ/6)=f(0.5)=f(2+0.5)=f(2+2.5)=1.5 f(cosπ/6)=f(√3/2)=f[2+(√3/2)]=f[4+(√3/2)]=2-(√3/2)f(sinπ/6)>f(cosπ/6) B. 同理,f(sin1)=f(4+sin1)=2-sin1, f(cos1)=f(4+cos1)=2-cos1 因cos1(sin2π/3) D.对 f(sin2)=f(4+sin2)=2-︱sin2︱, f(cos2)=f(4+cos2)=2-︱cos2︱ 因︱sin2︱>︱cos2︱ f(cos2)>f(sin2)
题目好象没打完,求什么也没说啊.
答:方法(1)充分利用f(x+2)=-f(x) f(6.5)=f(4.5+2)=-f(4.5)=-f(2.5+2)=f(2.5) =f(0.5+2)=-f(0.5)...详情>>
答:详情>>