y=ln[(a-x)/(a+x)] 就成 f(x)=ln[(a-x)/(a+x)]
當(dāng)x=-x時(shí),f(-x)=ln[(a-(-x))/(a+(-x))]=ln[(a+x)/(a-x)]=ln{[(a-x)/(a+x)]}^(-1)
=-ln[(a-x)/(a+x)] =-f(x)
即f(-x)=-f(x)
所以 y=ln[(a-x)/(a+x)] 是奇函數(shù).
當(dāng)然,x不等a!
函數(shù) y=ln[(a-x)/(a+x)] (a>0) 是()A奇函數(shù) B偶函數(shù) C非奇非偶函數(shù) D奇偶性取決于a的取值
函數(shù) y=ln[(a-x)/(a+x)] (a>0) 是()A奇函數(shù) B偶函數(shù) C非奇非偶函數(shù) D奇偶性取決于a的取值
數(shù)學(xué)人氣:606 ℃時(shí)間:2020-05-06 13:17:48
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