f(x)是遞增的奇函數(shù).
由f(msinθ)+f(1-m)>0,
∴f(msinθ)>-f(1-m),即f(msinθ)>f(m-1)
∴msinθ>m-1,∴1>m(1-sinθ).
當(dāng)θ=Л/2時(shí),不等式恒成立.
當(dāng)0≤θ<Л/2時(shí),m<1/(1-sinθ),
∵1/(1-sinθ)的最小值為1,
∴m<1.
1
f(x)是奇函數(shù),并且在R上為增函數(shù),若0≤α≤π/2,F(msinα)+F(1-m)>0恒成立,求m取值范圍
f(x)是奇函數(shù),并且在R上為增函數(shù),若0≤α≤π/2,F(msinα)+F(1-m)>0恒成立,求m取值范圍
數(shù)學(xué)人氣:365 ℃時(shí)間:2020-02-15 08:50:16
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