全等三角形基礎(chǔ)練習(xí)證明題

1、全等三角形的判定班級：姓名：1,已知AD是/ABC的中線，BELAD,CF±ADB.2,已知AC=BD,AE=CF,BE=DF,求證AE/LA3.已知AB=CD,BE=DF,AE=CF,求證AB/C._14,已知在四邊形ABCD中，AB=CD,AD=CB,BA8.已知AD=CB,/A=/C,AE=CF,求證EB/DFA.D，求證BE=CFoEX/&bADE9.已知M是AB的中點，/1=/2,MC=MD,求證/C=/D,CD-FAVBICBD10.已知，AE=DF,BF=CE,AE/DF,求證AB=CD。B/CDFA1-BCDD11,已知/1=/2,/3=/4,求證AC=ADD

2、求證AB/CDa41柞彳12.已知/AB=CD,求證AE=DFE=/F,/1=/2,5.已知/BAC=/DAE,/1=/2,BD=CE,求證/ABD/ACE.13.已知EDXAB,6.已知CD/AB,DF/EB,DF=EB,EFXBC,7.已知BE=CF,AB=CD,/B=/C,求證AF=DE14.在/ABC中，高AD與證/BHD/ACD。15,已知/A=/D,AC/FD,AC=FD,求證AB/DE21 .已知AB=AC,/1=/2,AD=AE,求證/ABD/ACE.16.已知AC=AB,AE=AD,/1=/2,求證/3=/422 .已知BE/DF,AD/BC,AE=CF,求證/AFD/CEB

3、23 .已知EF/BC,AF=CD,ABXBC,DEXEF,求證/ABC24 .已知AD=AE,BD=CE,/1=/2,求證/ABD/ACE/DEFo18.已知AD=AE,/B=/C,求證AC=AB25 .已知AB=AC,AD=AE,/1=/2,求證CE=BD19.已知ADBC,BD=CD,求證AB=AC26 .已知CELAB,DFAB,AC/DB,AC=BD,求證CE=DFC20.已知/1=/2,BC=AD,26.如圖，AD=BC,AE=BE,求證/C=/DDCFEDCBCEXABCD=AB28DDCEAABEFBCOAB=CD2934CBFBFAEDDCCD=BEDAADBEC36.已知B

4、E=CD31CF=DEA,CEDFBACEDDO±BC,OC=OA,OB=ODEAD,ECE=DF,AE=BF,AEXAD,FD±AD,求證/EABF是AB上的兩點,AE=BF,又AC/DB,AC=DBDF±AB,CE=DF,AE=BF,求證/CEBB陽D,BF=DE,求證(1)AE=CF(2)AE/CF。1.32TF27.已知/1=/2,AC=BD,E,F,A,B在同一直線上，求32.已知DE=FE,FC/AB,求證AE=CEB37.已知，ACLCE,AC=CE,/ABC=/DEC=900,求證42.已知：如圖，AB=CD,D、B到AC的距離DE=BF.求BD=AB+ED證：AB/CD.38./ABC/AB'CAD=A'D'。AD與A'D'分別是中線，求證43,已知：如圖.GOOD,AD0B于D,BCOA于c,求證：EA=EB.c39.已知：如圖，E,B,F,C四點在同一直線上，/A=/D=90°BE=FC,AB=DF.求證：/E=/C44.如圖，已知：/ACB和/ADB都是直角，BC=BD,E是AB上任一點，求證：CE=DE.匚EBFC40.已知：如圖，DN=EM,且DR&R于D,EMAC于E,BM=CN.求證：/B=/C.45.已知：如圖，/A=/D=90°