如图5-17,已知直线AB和直线CD被直线EF所截,交点分别为E,F,角AEF=角EFD。1、直线 如图,已知直线AB和直线CD被直线GH所截,交点分别为E、F...

\u5728\u4e0b\u56fe\u4e2d\uff0c\u5df2\u77e5\u76f4\u7ebfAB\u548c\u76f4\u7ebfCD\u88ab\u76f4\u7ebfGH\u6240\u622a\uff0c\u4ea4\u70b9\u5206\u522b\u4e3aE\u3001F\u70b9\uff0c\u2220AEF=\u2220EFD\uff0e\uff081\uff09\u5199\u51faAB\u2225CD\u7684\u6839\u636e\uff1b\uff08

\u89e3\uff1a\uff081\uff09\u2235\u2220AEF=\u2220EFD\uff0c\u2234AB\u2225CD\uff08\u5185\u9519\u89d2\u76f8\u7b49\uff0c\u4e24\u76f4\u7ebf\u5e73\u884c\uff09\uff0e\uff082\uff09EM\u2225FN\uff0c\u8bc1\u660e\uff1a\u2235ME\u662f\u2220AEF\u7684\u5e73\u5206\u7ebf\uff0cFN\u662f\u2220EFD\u7684\u5e73\u5206\u7ebf\uff0c\u2234\u2220MEF= \u2220AEF\uff0c\u2220NFE= \u2220EFD\uff0c\u2235\u2220AEF=\u2220EFD\uff0c\u2234\u2220MEF=\u2220NFE\uff0c\u2234EM\u2225FN\uff08\u5185\u9519\u89d2\u76f8\u7b49\uff0c\u4e24\u76f4\u7ebf\u5e73\u884c\uff09\uff0e

\uff081\uff09EM\u2225FN\uff0c\u7406\u7531\u4e3a\uff1a\u2235ME\u662f\u2220AEF\u7684\u5e73\u5206\u7ebf\uff0cFN\u662f\u2220EFD\u7684\u5e73\u5206\u7ebf\uff0c\u2234\u2220MEF=12\u2220AEF\uff0c\u2220EFN=12\u2220EFD\uff0c\u53c8\u2235AB\u2225CD\uff0c\u2234\u2220AEF=\u2220EFD\uff0c\u2234\u2220MEF=\u2220EFN\uff0c\u2234EM\u2225FN\uff1b\uff082\uff09EK\u22a5FN\uff0c\u7406\u7531\u4e3a\uff1a\u2235AB\u2225CD\uff0c\u2234\u2220BEF+\u2220EFD=180\u00b0\uff0c\u53c8\u2235EK\u662f\u2220BEF\u7684\u5e73\u5206\u7ebf\uff0cFN\u662f\u2220EFD\u7684\u5e73\u5206\u7ebf\uff0c\u2234\u2220FEK=12\u2220BEF\uff0c\u2220EFN=12\u2220EFD\uff0c\u2234\u2220FEK+\u2220EFN=90\u00b0\uff0c\u2234\u2220EKF=90\u00b0\u5373EK\u22a5FN\uff0e

1.平行,因为内错角相等,两直线平行。

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