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数学
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已知f(2x+1)=x²-2x,则f(3=)
人气:261 ℃ 时间:2020-03-27 10:40:11
解答
解法一:令2x+1=t,则x=(t-1)/2f(t)=(t-1)²/4-(t-1)f(3)=1-2=-1解法二:f(2x+1)=x2-2x 令y=2x+1x=(y-1)/2f(y)=[(y-1)/2]²-(y-1)=y²/4-3y/2+5/4所以,f(x)=x²/4+3x/2+5/4f(3)=f(2*1+1)=1²-2*1...
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