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1、分式知识点总结及章末复习知识点一：分式的定义一般地，如果A，B 表示两个整数，并且B 中含有字母，那么式子BA叫做分式，A 为分子，B 为分母。知识点二：与分式有关的条件分式有意义：分母不为0（0B）分式无意义：分母为0（0B）分式值为0：分子为0 且分母不为0（00BA）分式值为正或大于0：分子分母同号（00BA或00BA）分式值为负或小于0：分子分母异号（00BA或00BA）分式值为1：分子分母值相等（A=B）分式值为-1：分子分母值互为相反数（A+B=0）经典例题1、代数式14x是（）A.单项式B.多项式C.分式D.整式2、在2x，1()3xy，3，5ax，24xy中，分式的个数为（）A
2、.1 B.2 C.3 D.4 3、总价 9 元的甲种糖果和总价是9 元的乙种糖果混合，混合后所得的糖果每千克比甲种糖果便宜1 元，比乙种糖果贵 0.5 元，设乙种糖果每千克x元，因此，甲种糖果每千克元，总价 9 元的甲种糖果的质量为千克.4、当a是任何有理数时，下列式子中一定有意义的是（）A.1aaB.21aaC.211aaD.211aa5、当1x时，分式11xx，122xx，211xx，311x中，有意义的是（）A.B.C.D.6、当1a时，分式211aa（）A.等于 0 B.等于 1 C.等于 1 D.无意义7、使分式8483xx的值为 0，则x等于（）A.38B.12C.83D.128、
3、若分式2212xxx的值为 0，则x的值是（）A.1 或 1 B.1 C.1 D.2 9、当x时，分式11xx的值为正数.10、当x时，分式11xx的值为负数.11、当x时，分式132xx的值为 1.12、分式1111x有意义的条件是（）A.0 xB.1x且0 xC.2x且0 xD.1x且2x|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 1 页，共 5 页13、如果分式33xx的值为 1，则x的值为（）A.0 xB.3xC.0 x且3xD.3x14、下列命题中，正确的有（）A、B为两个整式，则式子AB叫分式；m为任何实数时，分式13mm有意义；
4、分式2116x有意义的条件是4x；整式和分式统称为有理数.w ww.x A.1 个B.2 个C.3 个D.4 个15、在分式222xaxxx中a为常数，当x为何值时，该分式有意义？当x为何值时，该分式的值为0？知识点三：分式的基本性质分式的分子和分母同乘（或除以）一个不等于0 的整式，分式的值不变。字母表示：CBCABA，CBCABA，其中 A、B、C 是整式，C0。拓展：分式的符号法则：分式的分子、分母与分式本身的符号，改变其中任何两个，分式的值不变，即BBABBAAA注意：在应用分式的基本性质时，要注意C0 这个限制条件和隐含条件B0。经典例题1、把分式aab的分子、分母都扩大2 倍，那么
5、分式的值（）A.不变B.扩大 2 倍C.缩小 2 倍D.扩大 4 倍2、下列各式正确的是（）A.11axabxbB.22yyxxC.nnamma，（0a）D.nnamma3、下列各式的变式不正确的是（）A.2233yyB.66yyxxC.3344xxyyD.8833xxyy4、在括号内填上适当的数或式子：5()412axyaxy；2111()aa；()2mnn；226(2)()3(2)nn mm.5、不改变分式的值，把分式0.010.20.5xyxy的分子与分母中的系数化为整数.|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 2 页，共 5 页文
6、档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S
7、4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6
8、C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X
9、1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J1
10、0S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1
11、P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y
12、4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1知识点四：分式的约分定义：根据分式的基本性质，把一个分式的分子与分母的公因式约去，叫做分式的约分。步骤：把分式分子分母因式分解，然后约去分子与分母的公因。注意：分式的分子与分母为单项式时可直接约分，约去分子、分母系数的最大公约数，然后约去分子分母相同因式的最低次幂。
13、分子分母若为多项式，约分时先对分子分母进行因式分解，再约分。知识点四：最简分式的定义一个分式的分子与分母没有公因式时，叫做最简分式。经典例题1、约分：222_20aba b；229_69xxx；32218_12a bcab c；2()_4()pqqp.2、下列化简结果正确的是（）A.222222xyyxzzB.220()()abab abC.63233x yxx yD.231mmaaa3、下列各式与分式aab的值相等的是（）A.aabB.aabC.abaD.aba4、化简2293mmm的结果是（）A、3mmB、3mmC、3mmD、mm3知识点五：分式的通分分式的通分：根据分式的基本性质，把几个
14、异分母的分式分别化成与原来的分式相等的同分母分式，叫做分式的通分。分式的通分最主要的步骤是最简公分母的确定。最简公分母的定义：取各分母所有因式的最高次幂的积作公分母，这样的公分母叫做最简公分母。确定最简公分母的一般步骤：取各分母系数的最小公倍数；单独出现的字母（或含有字母的式子）的幂的因式连同它的指数作为一个因式；相同字母（或含有字母的式子）的幂的因式取指数最大的。保证凡出现的字母（或含有字母的式子）为底的幂的因式都要取。注意：分式的分母为多项式时，一般应先因式分解。经典例题1、分式223ca b，44ab c，252bac的最简公分母是（）A.12abcB.12abcC.24224a b c
15、D.24212a b c2、通分：222,693xyzaba bcabc；2216,211aaaa.知识点六分式的四则运算与分式的乘方分式的乘除法法则：分式乘分式，用分子的积作为积的分子，分母的积作为积的分母。式子表示为：dbcadcba|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 3 页，共 5 页文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文
16、档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S
17、4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6
18、C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X
19、1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J1
20、0S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1
21、P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y
22、4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1分式除以分式：把除式的分子、分母颠倒位置后，与被除式相乘。式子表示为ccbdadbadcba分式的乘方：把分子、分母分别乘方。式子nnnbaba经典例题1、下列运算正确的是（）A.62xxxB.0 xyxyC.1xyxyD.axabxb2、下列各式的计算结果错误的是（）A.bnybnxamxamyB.bnybmyamxanxC.bnybmxamxanyD.()bnybmxamxany3、计算：3921()_243aabbba；222222221_()abaabba bababba4、计算：232()_3a
23、bc；232()()()_bacacb.5、下列运算正确的是（）A.33328()39xxyyB.242622224()()xyxxxyxyyyC.211xxxD.22()(1)1xxxx6、计算：2223()()_abba；2222()()_3yxxy.7、计算：23231()()()_344xyxyyx.8、化简3232()()()_x yxzyzzyx.9、当2006x，2005y，则代数式4422222xyyxxxyyxy的值为（）A.1 B.1 C.4011 D.4011 10、先化简，再求值：2322322432()()1(1)(1)2xxxxxxxxxxx，其中13x.11、已知
24、27xy，求分式2222322xxyyxxyy的值.12、计算：222008420084200820082200848.|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 4 页，共 5 页文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 H
25、O2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM
26、1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码
27、:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5
28、 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4
29、ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档
30、编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X113、已知0345xyz，那么
31、223xyxyz的值为（）A.12B.2 C.12D.2 14、已知230,3260,0 xyzxyzxyz，求2222222xyzxyz的值.分式的加减法则：同分母分式加减法：分母不变，把分子相加减。式子表示为cbacbca异分母分式加减法：先通分，化为同分母的分式，然后再加减。式子表示为bdbcaddcba整式与分式加减法：可以把整式当作一个整数，整式前面是负号，要加括号，看作是分母为1 的分式，再通分。分式的加、减、乘、除、乘方的混合运算的运算顺序先乘方、再乘除、后加减，同级运算中，谁在前先算谁，有括号的先算括号里面的，也要注意灵活，提高解题质量。注意：在运算过程中，要明确每一步变形的目
32、的和依据，注意解题的格式要规范，不要随便跳步，以便查对有无错误或分析出错的原因。加减后得出的结果一定要化成最简分式（或整式）。知识点六整数指数幂引入负整数、零指数幂后，指数的取值范围就推广到了全体实数，并且正正整数幂的法则对对负整数指数幂一样适用。即nmnmaaamnnmaannnbbaanmnmaaa（0a）nnbabanna1na（0a）10a（0a）（任何不等于零的数的零次幂都等于1）其中 m，n 均为整数。科学记数法若一个数x 是 0 x10 的数则可以表示为n10a（10a1，即 a的整数部分只有一位，n 为整数）的形式，n 的确定n=比整数部分的数位的个数少1。如 120 000
33、000=8101.2经典例题7 个 0 9 个数字|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 5 页，共 5 页文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10
34、S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P
35、6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4
36、X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J
37、10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A
38、1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1文档编码:CV5Y8J10S4B5 HO2P1A1P6C4 ZM1A5T2Y4X1