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已知函数f(x)=Asin(wx+φ)(A>0,w>0,|φ|<π/2)图像关...

已知函数f(x)=Asin(wx+φ)(A>0,w>0,|φ|0,w>0,|φ|T=4π==>w=2π/T=1/2 ∴f(x)=2sin(1/2x+φ) ∵f(x)图像关于直线x=π/3对称, ∴f(x)在Y轴右侧第一个对称轴为:wx+φ=π/2==>x=(π-2φ)/(2w) 令(π-2φ)/(2w)=π/3==>(π-2φ)=π/3==>φ=π/3 ∴f(x)=2sin(1/2x+π/3) (2...

最大A=2 半周期T/2=11π/12-5π/12=π/2 T=2π/w=π w=2 x=0则f(0)=2sin(2*0+φ)=1 sinφ=1/2 φ=π/6 f(x)=2sin(2x+π/6) 递增则2kπ-π/2

(1)解析:∵f(x)=Asin(wx+φ)(A>0,w>0,| φ|T=2π==>w=2π/T=1 ∴f(x)=2sin(x+φ)==> f(5π/6)=2sin(5π/6+φ)=2==>5π/6+φ=π/2==>φ=-π/3 ∴f(x)=2sin(x-π/3) (2)解析:设g(x)=f(2x+π/3)+f^2(x+π/3)>0 g(x)=2sin(2x)+4sin^2(x)=2(sin(2x)-cos2x)+2=2√2sin(...

函数fx=Asin(wx+φ)(A>0W>0 |φ|T=π==>w=2 ∴f(x)=sin(2x+φ)==> f(π/6)=sin(π/3+φ)=1 π/3+φ=π/2==>φ=π/6 ∴f(x)=sin(2x+π/6) (2)解析:g(x)=f(x)-cos2x= sin(2x+π/6)-cos2x=sin(2x-π/6) 单调增区间:2kπ-π/2

(1)由函数的最小值为-2及A>0得:A=2;又函数经过(0,跟号3),所以,sin(φ)=根号3得: φ=π/3+2kπ 或 φ=2π/3+2kπ (k为整数) 由|φ|0得:A=2;又函数经过(0,跟号3),所以,sin(φ)=根号3得: φ=π/3+2kπ 或 φ=2π/3+2kπ(k为整数) 由|φ|

已知函数fx=Asin(wx+φ)(A>0,W>0,O0,OT^2=16 ==>T=4==>w=2π/4=π/2 A=|AC|sinπ/4=T/4=1 ∴f(x)=Acoswx=cos(π/2x) ∴f(1)=cos(π/2)=0

已知函数f(x)=Asin(x+φ)(a>0,0cosβ=12/13==>sinβ=5/13 f(α-β)=sin(α-β+π/2)=cos(α-β)=cosαcosβ+sinαsinβ =36/65+20/65=56/65

解由函数f(x)=Asin(ωx+φ)(a>0,ω>0,0

已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|ω=2 ∴f(x)=2sin(2x+π/6) (2)解析:g(x)= 2sin(2(x+π/3)+π/6)=2sin(2x+5π/6) 单调递增区间:2kπ-π/2

1、 T=2π/w=π w=2 最小=-2 所以A=|-2|=2 f(x)=2sin(2x+φ) 过M -2=2sin(4π/3+φ) 4π/3+φ=3π/2 φ=π/6 f(x)=2sin(2x+π/6) 2、 0

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