配套习题-平行四边形的判定（一） -【青果学院】

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1.下列判断中正确的是（）

A: 一组对边平行，另一组对边相等的四边形是平行四边形

B: 若等腰三角形的两边长分别是3和6，则周长为15或12

C: 三角形三边垂直平分线的交点到三角形三边的距离相等

D: 一组对边平行，一组对角相等的四边形是平行四边形

提示1：IOagueaNruW5s+ihjOWbm+i+ueW9oueahOWIpOWumg==
提示2：IOagueaNruS4ieinkuW9oueahOS4iei+ueWFs+ezu+WSjOe6v+auteWeguebtOW5s+WIhue6v+eahOaAp+i0qA==
答案：RA==
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2.

如图所示，在四边形ABCD中，AD∥BC，要使四边形ABCD成为平行四边形还需要条件（）

青果学院

A:
AB=DC

B:
∠1=∠2

C:
AB=AD

D:
∠D=∠B

提示1：PHA+5qC55o2u562J6IWw5qKv5b2i55qE5a6a5LmJ5Yik5patQTwvcD4=
提示2：PHA+5qC55o2u5bmz6KGM57q/55qE5oCn6LSo5Y+v5Lul5Yik5patQu+8mzwvcD4=
提示3：PHA+5qC55o2u5bmz6KGM5Zub6L655b2i55qE5Yik5a6a5Y+v5Yik5patQ++8mzwvcD4=
提示4：PHA+5qC55o2u5bmz6KGM57q/55qE5oCn6LSo5ZKM5LiJ6KeS5b2i55qE5YaF6KeS5ZKM5a6a55CG5rGC5Ye64oigQkFDPeKIoERDQe+8jOaOqOWHukFC4oilQ0TljbPlj68uPC9wPg==
答案：RA==
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3.已知四边形ABCD，AC与BD相交于点O，如果给出条件AB∥CD，那么还不能判定四边形ABCD为平行四边形，以下四种说法正确的是（）
①如果再加上条件BC=AD，那么四边形ABCD一定是平行四边形；
②如果再加上条件∠BAD=∠BCD，那么四边形ABCD一定是平行四边形；
③如果再加上条件AO=CO，那么四边形ABCD一定是平行四边形；
④如果再加上条件∠DBA=∠CAB，那么四边形ABCD一定是平行四边形.

A: ①②

B: ①③④

C: ②③

D: ②③④

提示1：IOagueaNruW3suefpe+8jOe7k+WQiOmimOaEj++8jOeUu+WHuuWbvuW9ou+8jA==
提示2：IOagueaNruW5s+ihjOWbm+i+ueW9oueahOWIpOWumu+8jOmAkOS4gOWIpOaWrQ==
答案：Qw==
PGRpdj7op6PvvJrikaDkuZ/lj6/og73mmK/nrYnohbDmoq/lvaIuIDxicj7ikaHlj6/lvpdBROKIpUJD77yM5pWF5q2j56GuLiA8YnI+4pGi5Y+v5Yik5a6a4pazQUJP4omM4pazQ0RP77yM5bCx5pyJQUI9Q0TvvIzmlYXlj6/liKTlrprkuLrlubPooYzlm5vovrnlvaLvvIzmraPnoa4uIDxicj7ikaPkuZ/lj6/og73mmK/nrYnohbDmoq/lvaIuIDxicj7mlYXpgIlDPC9kaXY+

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4.四边形ABCD中，对角线AC、BD相交于点O，给出下列四组条件：①AB∥CD，AD∥BC；②AB=CD，AD=BC；③AO=CO，BO=DO；④AB∥CD，AD=BC. 其中一定能判断这个四边形是平行四边形的条件共有（）

A: 1组

B: 2组

C: 3组

D: 4组

提示1：IOmmluWFiOi/m+ihjOadoeS7tuWIhue7hA==
提示2：IOagueaNruWIhue7hOmAkOS4gOWIpOaWrQ==
答案：Qw==
PGRpdj7op6PvvJrikaDmoLnmja7lubPooYzlm5vovrnlvaLnmoTliKTlrprlrprnkIbvvJrkuKTnu4Tlr7novrnliIbliKvlubPooYznmoTlm5vovrnlvaLmmK/lubPooYzlm5vovrnlvaLvvIzlj6/nn6XikaDog73liKTmlq3ov5nkuKrlm5vovrnlvaLmmK/lubPooYzlm5vovrnlvaLvvJs8YnI+4pGh5qC55o2u5bmz6KGM5Zub6L655b2i55qE5Yik5a6a5a6a55CG77ya5Lik57uE5a+56L655YiG5Yir55u4562J55qE5Zub6L655b2i5piv5bmz6KGM5Zub6L655b2i77yM5Y+v55+l4pGh6IO95Yik5pat6L+Z5Liq5Zub6L655b2i5piv5bmz6KGM5Zub6L655b2i77ybPGJyPuKRouagueaNruW5s+ihjOWbm+i+ueW9oueahOWIpOWumuWumueQhu+8muS4pOadoeWvueinkue6v+S6kuebuOW5s+WIhueahOWbm+i+ueW9ouaYr+W5s+ihjOWbm+i+ueW9ou+8jOWPr+efpeKRouiDveWIpOaWrei/meS4quWbm+i+ueW9ouaYr+W5s+ihjOWbm+i+ueW9ou+8mzxicj7ikaPmoLnmja7lubPooYzlm5vovrnlvaLnmoTliKTlrprlrprnkIbvvJrkuIDnu4Tlr7novrnlubPooYzkuJTnm7jnrYnnmoTlm5vovrnlvaLmmK/lubPooYzlm5vovrnlvaLvvIzlj6/nn6XikaPkuI3og73liKTmlq3ov5nkuKrlm5vovrnlvaLmmK/lubPooYzlm5vovrnlvaLvvJs8YnI+5pWF57uZ5Ye65LiL5YiX5Zub57uE5p2h5Lu25Lit77yM4pGg4pGh4pGi6IO95Yik5pat6L+Z5Liq5Zub6L655b2i5piv5bmz6KGM5Zub6L655b2i77yMPGJyPuaVhemAie+8mkPvvIw8L2Rpdj4=

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5.根据下列条件，能作出平行四边形的是（）

A: 两组对边长分别是3cm和7cm

B: 相邻两边的边长分别是2cm和4cm，一条对角线长是7cm

C: 一条对角线长为6cm，另一条对角线长为10cm，一条边长为8cm

D: 一条边长为7cm，两条对角线长为6cm和8cm

提示1：IOagueaNruS4ieinkuW9ouS4iei+ueeahOWFs+ezu++8jOmmluWFiOWIpOaWreaJgOe7meeahOS4iei+ueiDveWQpue7hOaIkOS4ieinkuW9og==
提示2：IOaNruW5s+ihjOWbm+i+ueW9oueahOWIpOWumuWNs+WPr+W+l+WHuue7k+iuug==
提示3：IOazqOaEj+Wvueinkue6v+S4juS4gOe7hOmCu+i+ueiDveWQpuaehOaIkOS4ieinkuW9og==
答案：QQ==
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