将函数y=5sin(-3x)的周期扩大到原来的2倍,再将函数图像左移π/3,得到图像对应解析式是A.y=5sin(3π/2-3x/2)B.y=5sin(7π/10-3x/2)C.y=5sin(π/6-6x)D.y=5cos(3x/2)
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将函数y=5sin(-3x)的周期扩大到原来的2倍,再将函数图像左移π/3,得到图像对应解析式是A.y=5sin(3π/2-3x/2)B.y=5sin(7π/10-3x/2)C.y=5sin(π/6-6x)D.y=5cos(3x/2)
将函数y=5sin(-3x)的周期扩大到原来的2倍,再将函数图像左移π/3,得到图像对应解析式是
A.y=5sin(3π/2-3x/2)
B.y=5sin(7π/10-3x/2)
C.y=5sin(π/6-6x)
D.y=5cos(3x/2)
将函数y=5sin(-3x)的周期扩大到原来的2倍,再将函数图像左移π/3,得到图像对应解析式是A.y=5sin(3π/2-3x/2)B.y=5sin(7π/10-3x/2)C.y=5sin(π/6-6x)D.y=5cos(3x/2)
周期扩大到2被,变为y=5sin(-3x/2),图像左移
π/3,用x+π/3替换x,得到y=5sin(-3x/2-π/2)=5sin(-3x/2+3π/2),选A
将函数y=5sin(-3x)的周期扩大到原来的2倍,则原w缩小为原来的1/2,即函数变为y=5sin(-3x/2)
再将函数图像左移π/3,左加右减,即用(x+π/3)代替原来的x,即y=5sin(-3(x+π/3)/2)=5sin(-3x/2-π/2)=y=5cos(3x/2)
选D
将函数y=5sin(-3x)的周期扩大到原来的2倍,则原w缩小为原来的1/2,即函数变为y=5sin(-3x/2)
再将函数图像左移π/3,左加右减,即用(x+π/3)代替原来的x,
即y=5sin(-3(x+π/3)/2)
=5sin(-3x/2-π/2)=5sin(-π/2-3x/2) 奇变偶不变,符号看象限
得 y=5cos(3x/2)
选D