1、初中数学 九年级下册 1/3 期末测试期末测试 答案答案 1.【答案】B 2.【答案】A 3.【答案】A 4.【答案】D 5.【答案】C 6.【答案】B 7.【答案】D 8.【答案】C 9.【答案】D 10.【答案】D 11.【答案】1 12.【答案】ACDB(答案不唯一)13.【答案】6 14.【答案】75 15.【答案】1:2 16.【答案】2 17.【答案】92 18.【答案】tantanmn 19.【答案】解:如图,在AED和BCE中,ADBC,BCAB,ADAB,90AB,1390 .90CED.1290 ,23 ,AEDBCE,ADAEBEBC,即324BE,6BE.过点D作DFB
2、C,交BC于点F,则DFAB,四边形ABFD为矩形,268DFAB,431FCBCBFBCAD,22228165CDDFFC,即65CD.20.【答案】解:(1)点A在直线122yx上,设(,22)A xx.过点A作ADOB于点D.ABOA,初中数学 九年级下册 2/3 且OAAB,ODBD,ADBDOD,22xx,解得2x,(2,2)A,224k,24yx.(2)224yxyx,解得1122xy,2214xy ,(1,4)C .由图象得:12yy时,x的取值范围1x或02x.21.【答案】解:过点A作ADBC交BC的延长线于点 DBC.45,90ADC,ADDC,设ADDCx米,则3tan3
3、01003xx,解得50(31)x.故河的宽度为50(31)米.22.【答案】证明:(1)连接OD.CD是O的切线,.ODCD,90EDCODEECDCOD .又DEEC,ECDEDC.ODECOD,DEOE.(2)ODOE.ODDEOE.60ODECODDEO ,30EDCECD.0OABOE,而OEDEEC,OAOBDEEC.又ABCD,BAODCE,30ECDEDCBAOOBA ,ABOCDE,ABCD.又ABCD.四边形ABCD是平行四边形.1302DAEDOE,ECDDAE,CDAD.又四边形ABCD是平行四边形,四边形ABCD是菱形.23.【答案】解:(1)四边形ABOD为矩形,E
4、Hx,3OD,2DE,点E的坐标为(2,3),236k,反比例函数的解析式为6(0)yxx.设正方形AEGF的边长为a,则AEAFa,点B的坐标为(2,0)a,点A的坐标为2,3a,点F的坐标为(2,3)aa,把(2,3)Faa代入6yx,得(2)(3)6aa,解得11a,20a(舍去),点F的坐标为(3,2).(2)当AEEG时,矩形AEGF与矩形DOHE不能全等.当AEEG时,矩形AEGF与矩形DOHE相似,矩形AEGF与矩形DOHE相似,AEAFODDE,32AEODAFDE,设3AEt,则2AFt,点A坐标为(23,3)t,点F的坐标为(23,32)tt,把(23,32)Ftt代人6y
5、x,得23(32)6tt,解得10t(舍去),256t,532AEt,相似比为55236AEOD.初中数学 九年级下册 3/3 24.【答案】(1)证明:ABAC,BC.ABCDEF,AEFB.AEFCEMAECBBAE ,CEMBAE,ABEECM.(2)解:能.AEFBC ,且AMEC,AMEAEF,AEAM.当AEEM时,则ABEECM,5CEAB,1BEBCCE.当AMEM时,MAEMEA.MAEBAEMEACEM ,即CABCEA.又CC,CAECBA,CEACACCB.2256ACCECB,2511666BE.(3)解:设BEx.ABEECM,CMCEBEAB,65CMxx,221619(3)5555CMxxx ,221911655(3)(3)5555AMCMxx,当3x 时,AM最短为165.又132BExBC,点E为BC的中点,AEBC,224AEABBE.此时,EFAC,22125EMCECM,116129625525AEMS