33、分式的加减法则:、分式的加减法则:11、分式的乘除:、分式的乘除:22、分式的乘方:、分式的乘方:acacbdbdacadadbdbcbcnnnaabbacacbbbacadbcadbcbdbdbdbd温馨提示(1)分式的混合运算,先乘方,再乘除,然后加减;(2)同级运算从左到右依次运算;(3)有括号的先算小括号,再算中括号,最后算大括号;(4)能用运算律进行简便运算的,可简便运算。4abab22141aabbabb例仔细观察题目的结构特点,灵活运用运算律,适当运用计算技巧,可简化运算,提高速度,优化解题。12x041222xxxxxx例22111211xxxxx2222122xyxyyxyx212111xxx+11322mnmnmmnm32448xyxy=1x1=2222114.262353933214(6)244xyxyxyxyxyxyaaaaaaxxxxxxxx222xyxy1=212x思维拓展:你能很快计算出的值吗?222200220032002200220022004212222222221412442352224224344248114211aaaaaaaaaxxxxxxxxxxxxaaaaaaaa12a126x4x1a143111xABxxxx例若求常数A、B的值。2,1AB1141.2557xyxyxyxyxy已知+=,求分式的值。2.0111111()()()abcabcbcacab已知,求的值综合练习2原式3原式11114.(1)(2)(2)(3)(3)(4)(4)(5)xxxxxxxx2411243.1111xxxx881x415xx111,,,345abbccaabbccaabcabbcac求分式的值。5.已知a、b、c满足16原式224216.(0,),121xaaaxxxxx已知求的值。212aa原式14m222117.40xxmxxm已知,求的值。8.已知,求的值51aa2241aaa24原式9.已知4x-3y-6z=0,x+2y-7z=0,且z≠0,求的值。2原式222222327311xyzxyz32xzyz10.已知ab=1,求的值221111ba11.已知xy=9,x+y=4,求的值1111xyyx1原式11原式-1.当x=200时,求的值.xxxxxx13632思考题22:45022:.55xxyyxyxyxyxxyxx2.已知求的值点评:在化简中要有整体思想意识,运用技巧。要注意分式中的隐含条件,分母不为0是分式学习的要点。