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1.sin(2x+π/4)怎么变到→sin(5x+π/4)

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1.sin(2x+π/4)怎么变到→sin(5x+π/4)
2.√2sin(2x+π/4)→-√2sin(2x+π/4)
3.√2sin(2x+π/4)→√5sin(2x+π/4)
1.sin(2x+π/4)怎么变到→sin(5x+π/4)
1.
sin(2x+π/4)=sin2(x+π/8) 向右平移π/8-π/20=3π/40
→sin2(x+π/20)纵坐标不变,横坐标变为原来的2/5 倍
→sin5(x+π/20)=sin(5x+π/4)
2.√2sin(2x+π/4) 横坐标不变,纵坐标变为原来的-1倍
→-√2sin(2x+π/4)
3.√2sin(2x+π/4) 横坐标不变,纵坐标变为原来的√2/√5=√10 /5倍
→√5sin(2x+π/4)