河北省2019年中考数学一轮复习第四章三角形第三节全等三角形好题随堂演练.doc

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1、 1 / 3全等三角形好题随堂演练1(2018安顺)如图,点 D,E 分别在线段 AB,AC 上,CD 与 BE 相交于 O 点,已知 ABAC,现添加以下的哪个条件仍不能判定ABEACD( )ABC BADAE CBDCE DBECD2如图,点 A,E,F,D 在同一直线上,若 ABCD,ABCD,AEFD,则图中的全等三角形有( )A1 对 B2 对 C3 对 D4 对3如图,某同学把一块三角形的玻璃打碎成了 3 块,现在要到玻璃店去配一块完全一样的玻璃,那么最省事的方法是( )A带去 B带去C带去 D把都带去4(2018石家庄裕华区一模)如图,有一张三角形纸片 ABC,已知BCx,按下列

2、方案用剪刀沿着箭头方向剪开,可能得不到全等三角形纸片的是( )2 / 35如图, RtABC RtDCB,两斜边交于点 O,如果 AC3,那么 OD 的长为 6(2018泰州)如图,AD90,ACDB,AC、DB 相交于点 O.求证:OBOC.7(2018绵阳改编)如图,ACB 和ECD 都是等腰直角三角形,CACB,CECD,点 A 在 DE 上,连接 BD.(1)求证:BDAE;(2)若 CD 1,AD ,求 BC 的长3 63 / 3参考答案1D 2.C 3.C 4.C 5.1.56证明:AD90,ACDB,BCCB, RtABC RtDCB( HL),OBCOCB,BOCO.7(1)证明:ACB 和ECD 都是等腰直角三角形,ACBC,ECCD,ECDACB90,ECAACDBCDACD,ECADCB,ECADCB,BDAE.(2)解:在 RtCDE 中,CDCE 1,DCE90,3DE CD ,2 2 6AD ,AE .BDAE ,6 2 2ECADCB,CDBE45,ADB90,AB 2 ,AD2 BD2 ( 6) 2 ( 2) 2 2在 RtACB 中,ACBC2.

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