【導讀】1.先化簡,再求值:。專題訓練(三)分式求值的技巧。÷1a2-1,其中a=2+1.解:原式=a+3,式子中的a只能取5-3,當a=-3,2,-2時分式無意義,3.已知2a+b-1=0,求代數(shù)式÷(a-b)的值。a-b=2a+b,解:設x2=y(tǒng)3=z4=k,k≠0,則x=2k,y=3k,z=4k,5.已知x2-3x+1=0,求x2+1x2的值.。x-3+1x=0,∴x+1x=3,x2+1x2=2-2=32-2=7. 6.已知xx2-x+1=7,求x. =5,以上三式相加,得。y=2,可知xy≠0,兩邊都乘以xy,得。y-x=2xy,∴x-y=-2xy,原式=。9.若實數(shù)a,b滿足ba+ab=3,求a. =3,得a2+b2=3ab,11.觀察下列等式: