已知函數(shù)f(x)=ax^2+1/bx+c(a,b,c屬于R)是奇函數(shù),f(1)=2,f(2)=3 (1)求a,b,c的值.(2)證明:x>根號(hào)2/2時(shí)...
已知函數(shù)f(x)=ax^2+1/bx+c(a,b,c屬于R)是奇函數(shù),f(1)=2,f(2)=3 (1)求a,b,c的值.(2)證明:x>根號(hào)2/2時(shí)...
已知函數(shù)f(x)=ax^2+1/bx+c(a,b,c屬于R)是奇函數(shù),f(1)=2,f(2)=3 (1)求a,b,c的值.(2)證明:x>根號(hào)2/2時(shí),f(x)為增函數(shù)
已知函數(shù)f(x)=ax^2+1/bx+c(a,b,c屬于R)是奇函數(shù),f(1)=2,f(2)=3 (1)求a,b,c的值.(2)證明:x>根號(hào)2/2時(shí),f(x)為增函數(shù)
數(shù)學(xué)人氣：574 ℃時(shí)間：2019-08-19 06:09:01
優(yōu)質(zhì)解答
∵函數(shù)f(x)=﹙ax2+1﹚/﹙bx+c﹚(a,b,c∈N）是奇函數(shù)∴f﹙﹣x)=[a﹙-x﹚²+1]/[b﹙﹣x﹚+c]≡﹣f(x)=﹣﹙ax2＋1﹚/﹙bx＋c﹚即﹙ax²＋1﹚/﹙﹣bx+c﹚≡﹙ax²＋1﹚/﹙﹣bx－c﹚∴,c=-c∴c=0即f(x)=﹙ax2...
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