令f(x) = sin(2x+π/4)
g(x) = cos(2x- 3π/4) = cos(3π/4 - 2x)
= cos[π/2 - (2x - π/4)]
= sin(2x - π/4)
二者的圖像關(guān)于原點(diǎn)對(duì)稱(chēng),則對(duì)任何x,f(x) + g(-x) = 0
f(x) + g(-x)
= sin(2x+π/4) + sin(-2x - π/4)
= sin(2x + π/4) - sin(2x + π/4)
=0
二者的圖像關(guān)于原點(diǎn)對(duì)稱(chēng)
函數(shù)y=sin(2x+π/4)和 y=cos(2x-3π/4)的圖像關(guān)于原點(diǎn)對(duì)稱(chēng)嗎?為什么
函數(shù)y=sin(2x+π/4)和 y=cos(2x-3π/4)的圖像關(guān)于原點(diǎn)對(duì)稱(chēng)嗎?為什么
數(shù)學(xué)人氣:271 ℃時(shí)間:2020-02-05 13:16:56
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