若1/X-1/Y=3求5x+2xy-5y/x-4xy-y的值為多少 寫出過程線上=急!

若1/X-1/Y=3求5x+2xy-5y/x-4xy-y的值為多少 寫出過程線上=急!


1/x-1/y=3
(y-x)/xy=3
y-x=3xy
x-y=-3xy
(5x+2xy-5y)/(x-4xy-y)
=[5(x-y)+2xy]/[(x-y)-4xy]
=[5*(-3xy)+2xy]/(-3xy-4xy)
=-13xy/(-7xy)
=13/7



若1/X-1/Y=3,求5X+2XY-5Y/X-4XY-Y


因為1/x-1/y=3
兩邊乘以xy得y-x=3xy,x-y=-3xy
所以原式=[5(x-y)+2xy]/(x-y-4xy)
=(-5*3xy+2xy)/(-3xy-4xy)
=(-13xy)/(-7xy)
=13/7



如圖,在等邊△ABC中,點D是BC邊的中點,以AD為邊作等邊△ADE.(1)求∠CAE的度數;(2)取AB邊的中點F,連接CF、CE,試證明四邊形AFCE是矩形.


(1)∵△ABC是等邊三角形,且D是BC中點,∴DA平分∠BAC,即∠DAB=∠DAC=30°;∵△DAE是等邊三角形,∴∠DAE=60°;∴∠CAE=∠DAE-∠CAD=30°;(2)證明:∵△BAC是等邊三角形,F是AB中點,∴CF⊥AB;∴∠BFC=90…