2021-2022学年北京市门头沟区中考数学测试模拟试卷（4月）含解析

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2021-2022
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⚶30ஹ⚶᫹170ᑭᑭ7950ᐗ.ூ{|௃}⚪ὃᑖ234ḄᵨஹTᦪḄឋWN&ᐗAᨵG2Ḅᵨ⚪Ḅᐵ:(1)G#ᐵUᑡ1ᑖ2348(2)ᑡ1@ᑭyᐵF⚶ᦪ#xḄTᦪᐵU2,ᑭᵨTᦪḄឋWXᨬJZ⚪.24.]ᨵ&ᑁ$90°,.GḄ$.123(1)জ᝞1,/8COnN/8c=90°,'4B=2,BC=3,ᑣ8ঝ᝞2,ᙶ᪗UnA(0,3),B(5,0),¢᦮{r¤8Pᑣ{PḄᙶ᪗;(᦮{ᢣ¨ᙶ᪗ஹ©ᙶ᪗ª$᦮ᦪḄ{)(2)᝞3,3N8CZ)n{EஹFᑖ®40ஹ48¯Ḅ{C°_L8E,5³]5CEF8(3)´µ48CDnN/8C=90°,ZBAC^60°,AB=2,z·/Z)C$GῪ¹º»ᑏ1½Ḅ☢¿.ூlᫀ௃(1)জ;ঝ(5,3),(3,5)8(2)³ÁÂ᪆8(3)V15+V3;Ä+682..c15⚓/@24⚓

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17D3î»ACn{?Dïðñî»BG,DBäBHLDG,BD=CD=AC=4,AAG=yAC=2,VAB=2,AAB=AG,••ZBAC=60°,JZABG=60°,/.ZCBG=30°ᙠRtZ\BHGnBG=2,ZBGH=30°,BH=1,ᙠRb^BHMnBH=1,ZCBH=30°,DM2^3,y/3BM=------,HM=-----,33.,4A/33ᙠRtAJJHBn,BH=1,BD=4,DH=V15•*.DM=DH-MH=V15--3••SABCD=S^DCF+SAMCD=yBMxAB+yACxDM=3xx2+gx4x(ó-3)2323=27158ᦑlᫀ$ô+JJ;^39+7382^/15.ூ{|௃}⚪ὃõᔠ⚪÷⌕ὃùÅÆᳮÖ☢¿×2☢¿×2¹☢¿×2.25.᝞ᙠú☢ᙶ᪗Unûᱥy=-x2+bx+C-xýþF{A(-1,0),B(-3,c18⚓/@24⚓

180),-ÿ
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E.(1)ᱥḄ᪆EḄᙶ᪗(2)PᱥNBPD=NBCA,PḄᙶ᪗(3)FḄᙶ᪗(-2,4),QᙠᱥḄQᙊ"Ḅᙊ#AஹB%ூ'ᫀ௃(1)(-2,0)(2)(-2,2)ᡈ(-2,-2)(3)(-2,2)ᡈ(-2,2-2-)2ூ᪆௃ூᑖ᪆௃(1)᪷0ᱥy=-x2+bx+Cx
A(-1,0),B(-3,0),ᑭᵨ345ᦪ7ᓽ9:ᱥḄ᪆;<=ᓽ9:EḄᙶ᪗(2)᪷0PᱥNBPD=NBCA,ᑖ>?@ABᦪḄCDEFᓽ9:PḄᙶ᪗(3)᪷0⚪H9CQᑮAḄJKLM9:ᑮQᑮNOFḄJKᯠ=᪷0┦A@ABᦪᓽ9:QḄᙶ᪗LM9'Q⚪.ூS௃পUᱥy=-x2+bx+cx
A(-1,0),B(-3,0),-l+b+c=0\=4ீ:ீ-9-36+c=0[c=-3cᱥḄ᪆y=-x2-4x-3,y=-x2-4x-3=-(x+2)2+l,••EḄᙶ᪗(-2,0)(2)᝞f1ᡠh,j19⚓/m24⚓

19B(-3,0),AAB=(-1)-(-3)=2,AC=V10»0C=3,BC=3n,oAF1BCF,ABOCBC-AFᑣ222x337AFᓽHn-----=----------22:AF=V2>,•BF=dAB?—AF?=V2,•.CF=20,.,AFV21•tanNACB=-----=-——,CF2722PiḄᙶ᪗q-2,p,ZBPD=ZBCA,,.tanZBPD=y,.,BE=1,"BE~2:PiE=2,.,.PḄᙶ᪗
-2,2,rᳮ9:P2Ḅᙶ᪗q-2,-2,ᓽPḄᙶ᪗q-2,2ᡈq-2,-2j20⚓/m24⚓

20(3)#O(0,0)tF(-2,4)ḄNḄ᪆y=kx,4=-2k,:k=-2,...NOFḄ᪆y=-2x,uQiᙠx13)j21⚓/m24⚓

21
ᙶ᪗M,N%§¤ABCD¬Ny=-Ux+m(m213)±ᢚ=:ᑮ¤A®CD.(1)CḄᙶ᪗ttan/OMNḄ¸(2)᝞f2,Ny=-gx+m#C,ºU»BMB'C½(3)᝞f1,ᙠNy=-3+m(m213)¾¿Ḅ#ÀÁ.জºUBC஻yூ᪆௃ூᑖ᪆௃(1)✌ᐜᑭᵨÆÇ4ᳮ:ABḄÈᯠ=ºAAOBsaBEC,᪷0xË@AḄÌḄÍx:BEḄÈᑣOEÈᓽ9:LM:CḄᙶ᪗(2)ᑭᵨ345ᦪ7:mḄ¸:BMḄÈ᪷0»xḄ»½ᓽ9º:;(3)জ᝞f3,ÏÐBB\rᳮÒÈBCtBC
I,ᑣIᙠMN#CoEQ஻MN,oCBᐵEQḄÕCG,ᑣEQ×(2)ÁḄMN,ºB9஻CGᓽ9ঝ#BoBT±yF,BT=a,ᑣBF=2a,BM=B'M=b,ᑣMF=2a-b,ᙠNAÜBFMÁᑭᵨÆÇ4ᳮ:atbḄ͸MFtBFᓽ9ᑭᵨm⊤hᩭAtCᙶ᪗ᓽ9:ßᐭNy=-x+43:mḄ¸LM4mḄâ.ூS௃(1)(6,0),B(0,8),.••OA=6,OB=8,•••AB=V82+62=10.BC=yAB=5,᝞f1,#CoCELyE,ZBOA=ZCEB=90°,XVZBAO+ZABO=ZEBC+ZABO=90°,.•.ZBAO=ZEBC,AAAOB^ABEC,j22⚓/m24⚓

22AOBOAB•....--------.......=2BEECBCBE=3,CEM,AOE=BE-OB=11,...CḄᙶ᪗(4,11),ux=0vOM=m,uy=0v0N=2m,.,.tanZ0MN=2(2)᝞f2,ᵫ⚪H:UBM=B'M,BC=B,C.•••Ny=-x+m#C(4,11),/.11=-2+m,::m=13,ABM=13-8=5,.B,M=BM=BC=B,C=5,»BMBC½(3)জ᝞f3,ÏÐBBlrᳮÒÈtBC
I,ᑣIᙠMN,#CoEQ஻MN,oCBᐵEQḄÕCG,ᑣEQ×(2)ÁḄMN,᪷0(2)9:CG஻BM,NBCE=NMCG,VMN//EQ,AZBCE=ZCIM,í,.,NCIM=NMIB',.\ZBCG=ZC1B,,BC஻BM,ᓽB'C'஻y.ঝ᝞f3,#BoBT_LyF,VBBr±MN,AtanZMBBr=y,BF=2BT,BT=a,ᑣBF=2a,BM=BM=b,ᑣMF=2a-b,ᙠNAÜB'FMÁ,a2+(2a-b)2=b2>:UaUb=4U5,AMFUBTUB'M=3U4U5,•B'M=BM=m-8,j23⚓/m24⚓

2334AMF=-(m-8),BT=-(m-8),554824ᑣOF=OB+BF=8+2a=8+2B'F=8+2x—(m-8)=54/ஹ4m+18A'F=B'F+A'B'=(m-8)+10=------55.._ï4m+188□24>JAᙶ᪗(—--5,,8w_248w—49HCḄòᙶ᪗OF-BC=--------5=-------55ï/4M328h49ஹnlᑣCḄᙶ᪗Uq---------------ö,55221uAᙠNy=-x+43vm=—,74uCᙠNy=-x+43vm=,322174••ᑣmḄø¸â•WmgL.ூ௃Q⚪ὃzBᦪxË@AḄᑨ4ឋḄᔠÌᵨz345ᦪ7ஹ½Ḅᑨ4ஹxË@AḄᑨ4ឋஹ@ABᦪCDᔠឋᨵ4Ḅûᑭᵨm⊤hBtCᙶ᪗üQ⚪Ḅᐵ.j24⚓/m24⚓