已知函數(shù)f(x)滿足f(x)=f(π-x),且當(dāng)x∈(-π/2,π/2)時(shí),f(x)=x+sinx則()
已知函數(shù)f(x)滿足f(x)=f(π-x),且當(dāng)x∈(-π/2,π/2)時(shí),f(x)=x+sinx則()
A.f(1)
A.f(1)
數(shù)學(xué)人氣:604 ℃時(shí)間:2020-02-03 19:35:39
優(yōu)質(zhì)解答
解根據(jù)f(x)=f(π-x)可知f(x)關(guān)于x=π/2對(duì)稱.又因?yàn)閒(x)=x+sinx當(dāng)x∈(-π/2,π/2)時(shí)為遞增所以x∈(π/2,3π/2)為遞減,所以可以得到誰(shuí)離對(duì)稱軸越近他的函數(shù)值越大則可知f(3)
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