反比例函数图象和性质教学案(含答案).pdf
1.2 反比例函数图象和性质(2)我预学1有 x 个小朋友平均分20 个苹果，每人分得的苹果y(个/人)与 x(个)之间的函数是_函数，其函数关系式是_.当人数增多时，每人分得的苹果就会减少，这正符合函数xky(k 0)，当 x0 时，y 随 x 的增大而 _的性质2 阅读教材中的本节内容后回答：（1）如图，在直角坐标系中，点A是x轴正半轴上的一个定点，点B是双曲线3yx（0 x）上的一个动点，当点B的横坐标逐渐增大时，OAB的面积将会（）A逐渐增大B不变C逐渐减小D先增大后减小（2）性质中强调“每一象限”，你是如何理解的？“每一象限”可等价于怎样的数学表达式？我求助：预习后，你或许有些疑问，请写在下面的空白处：B x y O 我梳理个性反思：通过本节课的学习，你一定有很多感想和收获，请写在下面的空白处：我达标1 反比例函数1yx（x0）的图象如图所示，随着 x 值的增大，y 值（）A减小B增大C不变D先减小后不变2区一小数学课外兴趣小组的同学每人制作一个面积为200cm2的矩形学具进行展示.设矩形的宽为xcm，长为 ycm，那么这些同学所制作的矩形长y（cm）与宽 x（cm）之间的函数关系的图象大致是()3已知反比例函数xy2，下列结论不正确的是A图象必经过点(1,2)By 随 x 的增大而增大C图象在第二、四象限内D若 x1，则 y 2 反比例函数图象性质当 k0 时，图象所在的每一象限内，函数值 y 随着 x 的增大而减小当 k0 时，图象所在的每一象限内，函数值 y 随着 x 的增大而增大文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S44点 A(2，1)在反比例函数ykx的图像上，当y2 时，x 的取值范围是5 反比例函数xy6图象上有三个点)(11yx，)(22yx，)(33yx，其中3210 xxx，则1y，2y，3y的大小关系是()A321yyyB312yyyC213yyyD123yyy6如图，已知一次函数1yxm（m 为常数）的图象与反比例函数2kyx（k 为常数，0k）的图象相交于点A（1，3）（1）求这两个函数的解析式及其图象的另一交点B的坐标；（2）观察图象，写出使函数值12yy的自变量x的取值范围小贴士：注意不同象限的点，充分结合图象进行判断y x B 111 2 3 3 1 2 A（1，3）知识形成：求解函数变量取值范围时，应先，然后充分利用图象文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4我挑战7下列函数在自变量的取值范围内，函数值y 随 x 的增大而增大的有（）xy66yx16yx)0(5xxyA1 个B2 个C3 个D4 个8 下列关于反比例函数的叙述，不正确的是（）A.反比例函数y=xk的图像绕原点旋转180后,能与原来的图象重合;B.反比例函数y=xk的图像不与坐标轴相交.C.反比例函数y=xk的图像关于直线y=x 成轴对称.D.反比例函数y=xk,当 k0 时,y 随 x 的增大而减小9如图是三个反比例函数y=xk1,y=xk2,y=xk3在 x 轴上方的图象,由此观察得到k1，k2，k3大小关系是（）Ak1k2k3 Bk2k3k1 Ck3k2k1D.k3k1k2 我登峰10已知：如图，正比例函数yax的图象与反比例函数kyx的图象交于点3 2A，（1）试确定上述正比例函数和反比例函数的表达式；（2）根据图象回答，在第一象限内，当x取何值时，反比例函数的值大于正比例函数的值？（3）M mn，是反比例函数图象上的一动点，其中03m，过点M作直线MNx轴，交y轴于点B；过点A作直线ACy轴交x轴于点C，交直线MB于点D当四边形OADM的面积为6 时，请判断线段BM与DM的大小关系，并说明理由小贴士：先可从宏观方面入手，判断k是正数或是负数；同一类别的可固定一变量比较另一Y x OA D M C B 知识链接：反比例函数要在每一象限文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4参考答案1.A2.A3.D4.010 xx或5.B；是；系数为12；3 6.21xy；xy32；（3，1）；103xx或7.A8.D 9.C 10.xy6；xy32；30 x；相等文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4文档编码:CG6H6M9Y9Q3 HH5T10V7V7X7 ZZ1O5K2Q10S4
