已知x为实数时,根号8-x+根号下x-2的最大值在黄冈中学理科实验班预录2013。
8减X在二次方根下加X减2在根号下。
=√8-x+√x-2
=2√2-2-x+√x
= 2√2-2+1/4-x+√x-1/4
=2√2-7/4-(x-√x+1/4)
=2√2-7/4-(√x-1/2)?
当x = 1/2,即x=1/4时,最大值为2√2-7/4。
=√8-x+√x-2
=2√2-2-x+√x
= 2√2-2+1/4-x+√x-1/4
=2√2-7/4-(x-√x+1/4)
=2√2-7/4-(√x-1/2)?
当x = 1/2,即x=1/4时,最大值为2√2-7/4。