北京市东城区2017届九年级(上)期末化学试卷(解析版)

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52(1)᝞¦AC40D,aஹbḄ;4äAB=ÜåḄ஺஺ÌBCYfg0D,ÌCAḄ_<çYfg0E,ß0Dà஺஺ḄᑗçfACg0F.(1)h(DF1AC(2)᝞¦sinC=é+AEḄ<=2.஺஺Ḅâå.327.᝞*+ᙠÛ☢ÜÙᙶ᪗ÝxOy/+&'0P(-1,0),C(V5-1+1)+D(0,-3),A,Bᙠx!,8P=AB/0+SAP=1.AC(1)ÞßAஹDஹBØ0ḄêᱥçḄ⊤ì.(2)êᱥçᙠx·íḄîᑖïxᔣ!ñᢚ+óᑮQôõḄ*ÒG,0Qᙠõ*ÒG!+8SPQ=SAPC»0Qᙶ᪗.AAA(3)Qô0Mö0N(0,-1)$÷+ᐜᑮìx!H0(e=0E),ùᑮìêᱥçḄú!H0(e=0F),ᨬüýᑮ0D,a0MýḄSþÿᨬ
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5328.ᙠaABCBDᑖNABC(NABCV60°)(1)᝞1,DᙠACNABC=42஺ZACB=32°,ᑏAB,DCBCḄᦪᐵ!.(2)᝞2,DᙠaABCᑁ#$NACD=30஺জNBDC=150஺ᑏAB,ADBCḄᦪᐵ!&ᑏ'(ᡂ*Ḅ+,.29.-./Ὺ123Ḅ45ᡃ7458ᨵ:;<=/Ḅ>?3@A”/<?3”.(1)᝞1,ᙠ?3ABCDEF:GᩩIJK?3ABCDL"/<?3”.ᑏNEFḄ:GᩩI.(2)O⚪QRSTUV:GWX8Y2Z[=ᑖ$=/Ḅ"/<?3"L\]3.᝛ḄWX\_ᔩabcᳮᵫ.(3)᝞2,"/<?3"ABCDAB=AD,ZBAD+ZBCD=90°,AC,BDfY2Z4ᔊi.jQRZkBC,CD,BDḄᦪᐵ!&lcNḄ'(.

54

552016mᓅopqrsὃᦪuvwjᔁ!ὃ#ᫀ%⚪᪆:ஹ⌱z⚪{|ᜧ⚪ᐳ30ᑖS⚪3ᑖ8ᑡᔜ⚪ᙳᨵ?G⌱⚗ᐸᨵ:GJᔠ⚪Ḅ\_ᫀḄᙠ⚪ᓱ=.1.Suᙠ""ᐭ“¡¢ᡃḄ¢”£ᑮ¥=ᐵḄ'¦Ḅᩩᦪ§f61700000,¨Gᦪᵨªu«ᦪ¬⊤®f{A.617X105B.6.17X106C.6.17X107D.0.617X108ூὃ௃ªu«ᦪ¬:⊤®±ᜧḄᦪ.ூᑖ᪆௃ªu«ᦪ¬Ḅ⊤®3³faX10nḄ3³ᐸ1W|a|<10,nf᦮ᦪ._4nḄµ⌕·¸ᦪ¹ᡂaSᦪº»V¼½nḄ¾Yµ¥Sᦪº»Ḅᦪ=.¸ᦪ¾Yµ>1nL\ᦪ¿¸ᦪḄ¾YµVInLÀᦪ.ூi௃i8Á61700000ᵨªu«ᦪ¬⊤®f6.17X107.ᦑ⌱C.2.Ãᦪa,b,c,dᙠᦪÄYḄ᝞ᡠ®¨?Gᦪ᎔ᦪᨬᜧḄL{-τ»LXJ-i4-i—τ_τ“A.bB.dC.aD.cூὃ௃Ãᦪ¥ᦪÄ.ூᑖ᪆௃✌ᐜ᪷ÊᦪÄḄᱯÌᑨÎÃᦪa,b,c,dḄϵÑᯠÓÔ᪷Ê᎔ᦪ.±ᜧS.ூi௃i8ᵫᦪÄÕK8a=-3,-2

56ூὃ௃ÙY×3¿ÄY×3.ூᑖ᪆௃ÚÊÄY×3Ḅ45ÙY×3Ḅ45ÛᓽÕ.ூi௃i8AஹLÄY×3ÝÞLÙY×3ᦑA┯à;BஹLÙY×3ÞLÄY×3ᦑB┯à¿CஹLÄY×3ÞLÙY×3ᦑC┯à¿DஹÖLÄY×3âLÙY×3ᦑD\_.ᦑ⌱8D.4.Scã:äåᙢᙳᒴḄ\]èéêéêḄëG☢ᑖíîᨵ1ᑮ6Ḅᦪ,ðñᔣ:☢Ḅᦪᜧó4Ḅᭆ᳛f{A.-B.~C.-D.!3236ூὃ௃ᭆ᳛ö³.ூᑖ᪆௃ᐜ÷ᦪᜧó4ḄᦪÔ᪷Êᭆ᳛ö³÷iᓽÕ.ூi௃i8•••ᦪᜧó4Ḅᦪf85,6,vᔣ:☢Ḅᦪᜧó4Ḅᭆ᳛=úû.o3ᦑ⌱C.5.᝞¦:G\¼3ḄG᜜2f72஺ðñ¨G\¼3Ḅᦪf{A.5B.6C.7D.8ூὃ௃¼3ᑁ2¥᜜2.ூᑖ᪆௃\¼3Ḅ᜜2L360஺¨G\¼3ḄG᜜2=/ýþᵨ360°◀᜜Ḅᦪᑮ᜜᜜Ḅᦪ᜜ḄᦪḄᦪ.ூ௃•••Ḅ᜜360஺,ᦪ=360°+72°=5,ᦑḄᦪ5.ᦑ⌱A.

576.᝞!AB஺஺Ḅ"#CஹD%&ᙠ஺஺(᝞)NC=40஺*+NABDḄ,ᦪ-.A.40°B.90°C.80°D.50°ூὃ&௃ᙊᕜ2ᳮ.ூᑖ᪆௃ᵫᙠ7ᙊᡈ9ᙊ7:ᡈ9:ᡠ<Ḅᙊᕜ=9>NDABḄ,ᦪ.ᵫAB஺஺Ḅ"#᪷@"#ᡠ<Ḅᙊᕜ">NADBḄ,ᦪABᓽD>NABDḄ,ᦪ.ூ௃•.•AB஺OḄ"#.,.ZACB=90°,VZC=40°,AZDAB=ZC=40°,/.ZABD=90°-ZDAB=50°.ᦑ⌱D.7.EFGHIJK2015LMN24OPPM2.5ḄQᐸ6PSḄᦪQ᝞⊤:PS4P5P6P7P8P9PPM2.5-VW/YZ[.342342333329325324ᑣ]ᦪ@Ḅ^ᦪ_ᙳᦪᑖa-.A.331b332.5B.329b332.5C.331b332D.333b332ூὃ&௃^ᦪbcd_ᙳᦪ.ூᑖ᪆௃᪷@^ᦪ_ᙳᦪḄ2efᔠ⌱⚗⌱ijᫀᓽD.ூ௃:]ᦪ@ᢥmOᑮᜧḄop᣸ᑡ324,325,329,333,342,342,ᡠ]ᦪ@Ḅ^ᦪᐺ”u=331,_ᙳᦪ='(§*+*,ᔢ./0?22

58=332.5,ᦑ⌱A.8.wᦪy=kx-kx*:&{0
ᙠ7|ᙶ᪗Ḅᜧ!H-.ூὃ&௃wᦪḄ!Hb|wᦪḄ!H.ூᑖ᪆௃ᦪ=9*+%wᦪ!Hᨵ&AB᪷@|wᦪxyḄ&ᑨj⌱⚗ᓽD.ூ௃k>0P|wᦪ|H▲wᦪ|H▲ᔠ⌱⚗C,ᦑ⌱C.9.ᙠᢈḄᜩᵯᡂ¡¢£¤¥¦Ḅ§¨©ᐹ⌱«¬®¯Ḅ°±Z²ᡂᡠᐵ´Ḅᐹᨵ®▭¶eḄ·⚪.¹⊤%ºᵯḄ°±Z²ᨴÊᵨ±ÍÎ▲2PÍÎÏP±/ÐÎ-ᐗ.Á-ᑖÂ.-ᐗ/ᑖ.Z²|581500.25ѱZ²883500.19ѱ»O¼Ḅ᱆᱆¾ᨴᡭᵯḄPÁᙠ300ᑖÂ÷⌱«ÄºZ²ḕÆ-.A.Z²|B.Z²C.%ºZ²|᪵D.ÈÉj2ூὃ&௃ᨵᳮᦪḄÒᔠÓc.ூᑖ᪆௃᪷@⊤ÔḄᦪ@>i%ºZ²Ḅ±ᵨÕᓽD.

59ூ௃Z²|±ᵨ58+0.25X150=95.57C;Z²±ᵨ88ᐗᑣZ²ḕÆ.ᦑ⌱B10.᝞!ZABCDḄ⚔&A(0,×)B(<0),⚔&C,D^ÙÚ|22H▲"Ûx=t,(0

60=y(y2-2y+l),=y(y-1)2.ᦑ-ᫀ1.y(y-1)2.12.᝞34ᑁᨵ7819:;8?Ḅ@ABCD᝞#*ᫀ⌱7Fᔠ〉ḄAᑖHIᑮABஹACḄKDஹE,L:MDEḄN135OᑣBஹC>?Ḅ@A170O.ூὃ௃QRSKTUVᳮ.ூᑖ᪆௃᪷YQRSKTUVᳮZ[DE-|BC,ᵫcᓽZef⚪.ூ-௃:VAD=DB,AE=EC,DE=1BC,2VDE=35m,BC=70m,ᦑ-ᫀ170.13.iḼᓅlmἠᑴἠpq᦮mstuᣚ9w᱐myz{|ᙠ{~Zw᱐myzD{~ᵨ.w᱐yz7Fy*ᨵ7F!Ḅᦪ#~yyᡠ!ᦪ!{~ᢥ᯿ᐸᡠᙠD

61p᯿ἠᑴᑣDἠp.ᐹᩭ:{~Dp0-1011-1516-20!ἠpᐗ¢234£᜜7ᓱ¦ᓱᑵᓱ¨©5ᢚ«¬®ᓱᑵᓱ¨©2.5ᢚ«¬.7T¯°ᓝ²ᙢḄ´ὁ¶ᢝᓱ{~~y!Ḅᦪ6,#~y!Ḅᦪ24,¸¹´ὁ¶{~Ḅᵨᐗ.ூὃ௃ᨵᳮᦪḄº!.ூᑖ᪆௃ᐜ»M#~yyᡠ!ᦪ¼½Ḅ!ᯠ¿᪷Y⊤ÁZMᑮ!Ḅἠpᯠ¿ᡭ5ᢚᓽZ.ூ-௃:|24-6|=18,V16<18<20,!ἠp14ᐗ.•••7ᓱ¦ᓱᑵᓱ¨©5ᢚ«¬Ä´ὁ¶{~Ḅᵨ=4X0.5=2ᐗ.ᦑ-ᫀ1.2.14.᝞3ᙠÅ*SÆÁKFÅ*SḄ

62ூ-௃.•.•ᙠÅ*SÆÁKFÅ*SḄ

63ᙠRtAACBþRtADFEKRtAACB^RtADFE,.*.AC=DF,ᦑ-ᫀ1.ñ<ஹÑR<òóô¨¢ᐰÎQRS!<ÎᡈᐰÎQRS!<Îö÷Vᳮ.16.᝞3ᙠ)☢ÑRᙶ᪗
A,BஹCḄᙶ᪗ᑖ1,0,0,1,-1,0.ᵯᐹᙶ᪗0ᑮPiPi஺ᐵAᡂ"#$%&ᑮP2,P2PiᐵBᡂ"#$%'ᑮP3,P3P2ᐵCᡂ"#$%(ᑮP4,P4P3ᐵAᡂ"#$%)ᑮP5,P5P4ᐵBᡂ"#$%…᯿,-./012ᑣPsḄᙶ᪗-2,0,P.6Ḅᙶ᪗007.ூὃ௃-.;<Ḅᙶ᪗.ூᑖ᪆௃᪷@"#$ḄឋBCDᑖPnḄᙶ᪗᪷@ᙶ᪗ḄEᓄCEᓄ-."P6nO,07,P.l2,07,P6n2-2,2,P6n30~27,P,2,27,6n6n4P6n,5-2,0nGᯠᦪ7"K,-.ᓽMNO.ூPQ௃P

64ᦑQᫀ<(-2,0)%(0,0).'ஹPQ⚪(cᜧ⚪ᐳ72ᑖᐸ17-26⚪gh⚪5ᑖ27⚪7ᑖ28⚪7ᑖ29⚪8ᑖ)<17.jk<(-ᡭmno+(ᑍr)°-᪗ூὃ௃sᦪḄtk%uᢣᦪw%x᦮ᦪᢣᦪw%ᱯ{|Ḅ'|}ᦪ~.ூᑖ᪆௃ᑭᵨuᢣᦪஹx᦮ᦪᢣᦪᑣᱯ{|Ḅ'|}ᦪ~&᪷ឋBjkᓽMᑮN.ூPQP<=9+23,

65°ḄP¡ᙠᦪ£¤⊤¦<]...IA.!..-24fl12345620.<᝞²ᙠAABCDஹEᑖᙠ³AB,AC¤´NAED=NABC,DE=3,BC=5,AC=12.ADḄµ.ூὃ௃¶·'|¸ḄᑨºឋB.ூᑖ᪆௃᪷@¶·'|¸Ḅᑨº»ឋBᓽMᑮNO.ூPQ௃P

66ìíîx=200ÛᡠᑡÙḄ᪷Q<Ø᪥&ᣎÒÆᦪ200Æ.22.<᝞²°ABCD,ðµ³ABᑮE,BE=AB,ñòDEஹBD»EC,çDEóBCO,ZBOD=2ZA,ô<(³¸BECDÛõ¸.ூὃ௃õ¸Ḅᑨº%ö(³¸ḄឋB.ூᑖ᪆௃᪷@ö(³¸ḄᑨºឋBᑮ(³¸BECDö(³¸÷ᵫᩩúôBC=ED,ᓽMNO.ூPQ௃ôÝ<ᙠö(³¸ABCDAD=BC,AB=CD,AB஻CD,ᑣBE஻CD.ü

67D᪷FGHIḄJKLMNᑡP⚪861@"RS᪵)*ᐳ)᩵+20001:62
BGজ⊡ᐙ[᦮<63
D]^_`᝞bcḄP⚪ddeḄfg.ூὃj௃ᩩmnoG<ᡧmnoG.ூᑖ᪆௃61
ᵨ9ᡠ;Ḅsᦪ◀vᐸᡠᓰḄyᑖzᓽ{|ᑮ)*Ḅ~ᦪ;62
~ᦪAஹB᝱5Ḅsᦪᓽ{|ᑮC᝱5Ḅsᦪ<63
⌕ᔠᔠᳮᓽ{.ூLM௃L861@)*~ᦪ!85025%=200s<2
ᢝ?2᝱5Ḅ1ᨵ200-50-120=30s⊡ᐰnoG᝞G863
᝞8ᔛ⌕ᡚ.ᦑMᫀ!:1
200.24.ᡃ8ᐵxḄR¡ᦪ¢=2*+1?¤y=bx+a¥¦2§ᣚ¡ᦪ©᝞y=3x+4

68¤y=4x+3ª2§ᣚ¡ᦪ(1)ᑏR¡ᦪv=-2x+bḄ§ᣚ¡ᦪy=bx-2.(2)¬bW-2ᑏ(1)¡ᦪG®Ḅ§jḄ¯ᙶ᪗1.(3)᝞²(1)¡ᦪG®¤y³´ᡂµ¶mḄ☢¸!3,¹bḄº.ூὃj௃ᩩ»¼½§ᡈ¿ÀP⚪.ூᑖ᪆௃(1)᪷F§ᣚ¡ᦪḄᓽ{¹L<(2)By=-2x+bÂᐭy=bx-2,LᐵxḄÄÅᓽ{¹xḄº<(3)᪷F(1)¡ᦪG®¤y³´ᡂµ¶mḄ☢¸!3,Æᔠµ¶mḄ☢¸ÇÈḄ¹gᓽ{|Mᫀ.ூLM௃L8(1)R¡ᦪy=-2x+bḄ§ᣚ¡ᦪ!y=bx-2.ᦑMᫀ!¢4*-2<(2)By=-2x+bÂᐭy=bx-2,|-2x+b=bx-2,᦮ᳮ|,(b+2)x=b+2,W-2,.b+2WO,ÄÅËÌ◀vb+2,|x=l,ᦑ(1)¡ᦪG®Ḅ§jḄ¯ᙶ᪗!LᦑMᫀ!1;(3)Í¡ᦪy=-2x+b¤y³Ḅ§jAḄᙶ᪗!(0,b),¡ᦪy=bx-2¤y³Ḅ§jBḄᙶ᪗!(0,-2).•.•¡ᦪG®¤y´ᡂµ¶mḄ☢¸!3,»¼§jᑮy³ḄÏÐ!1,1/ABX1=3,AB=6,Ab-(-2)=6ᡈ-2-b=6,b=4b=-8.25.ᙠ¿☢»¶ᙶ᪗ÒxOy¡ᦪy=N(kW0,x>0)ḄG®᝞GᡠÓ.ÔÕ

69"G®Ö×A(m,n),B(2,2)j.×jBØBD_Ly³jD,×jAØAC_Lx³jC,AC¤BD§jF.R¡ᦪy=ax+b(a#0)ḄG®Ö×jAஹD,¤x³ḄÙÚ³§jE.(1)᝞²AC=>|oD,¹aஹbḄº<(2)᝞²BC஻AE,¹BCḄ.-UI__l-----1_I_i_-3-ip12344ூὃj௃?z©¡ᦪ¤R¡ᦪḄ§jP⚪.ூᑖ᪆௃(1)ᵫjB(2,2)ᙠy=஺ḄG®Þ¹|k=4,ᐸ᪷FÔÕᩩß|ᑮAjḄᙶ᪗!([,3),LÄÅáᓽ{|ᑮÆâ<(2)ÍAjḄᙶ᪗!(m,ã)ᑣCjḄᙶ᪗!(m,0),åæËmBCEDn!¿ÀæËm᪷F¿ÀæËmḄឋè|ᑮCE=BD=2,DE=BC,ZADF=ZAEC,᪷Fµ¶¡ᦪḄᑡÄÅᓽ{|ᑮÆâ.ூLM௃L8(1)᝞G1,•.•jB(2,2)ᙠ¢=éḄG®Þ/.k=4,•.•BD_Ly³DjḄᙶ᪗!(0,2),OD=2.,.•ACx³AC=&OD,2AC=3,ᓽAjḄêᙶ᪗!3,•••jAᙠëḄG®Þ••.AjḄᙶ᪗!ì3),,R¡ᦪy=ax+bḄG®Ö×jAஹD,

70L|í4Ih=g.a=Wb=2,2
᝞G2,ÍAjḄᙶ᪗!6m,'@
ᑣcjḄᙶ᪗!6m,0
,*•.•BD஻CE,ïBC஻DE,æËmBCED!¿ÀæËm<.CE=BD=2,DE=BC,VBD/7CE,ZADF=ZAEC,4ñ&ó2.,.ᙠRtZSAFDtanZADF=AFo,DP~■4ᙠRt^ACEtanNAEC=NJ_<,õ2•,.ö2÷,L|m=l,*~2.•.CjḄᙶ᪗!61,0
,BC=Vfi./T-K

7126.᝞G^ABCAB=AC,vAB!»øḄ஺஺¤BC½§jD,¤CAḄù¼½§jE,×jDØ஺஺Ḅᑗ¼§ACjF.(1)¹û8DF1AC<(2)᝞²sinC=⌨AEḄ!2.¹஺஺ḄÚø.3ூᑖ᪆௃(1)ýþ0D.ᵫᑗ¼Ḅឋè{Õ0D1DF.þNᩭᵫAC=AB,OB=OD
NNODB=NC,
OD஻AC,ᵫḄឋ
DF_LAC(2)BE,AD.ᐜFD஻BE,ᵫᑖᡂᳮ
FCEḄ.஺஺Ḅ!"r,ᑣAB=AC=2r.ᑣCE=2r+2,AF=r-1,ᙠ4ABDᵫ┦&'&(ᦪḄ*
AD=2R.ᨬ,-.sin/ADF4ᑡ0ᐵ2rḄ3456ᓽ
.ூ69௃(1)᝞=1ᡠ?@0D./.OD±DF.OB=OD,/.ZB=ZODB.VAB=AC./.ZB=ZC.

72.*.ZODB=ZC..OD஻AC./.DF±AC.(2)6:BE,AD.VABC!DDZADB=ZAEB=90°VAB=AC,.,.BD=CD.VDF±AC,DFD஻BE.
EFCEḄ.஺஺Ḅ!"r,ᑣAB=AC=2r.ᑣCE=2r+2,*.FC=r+l.\AF=r-1..,ZABD=ZC=ZADF,\sinZABD=sinZACB=sinZADF=^S.3••ADᙶ•.sin/ADFGHI27.᝞=Dᙠ☢C&ᙶ᪗LxOyDMP(-1,0),C(--1,1),D(0,-3),A,BᙠxNODPP"AB,S=1.ACAP(1)5RSAஹDஹB'ḄUᱥḄ⊤XY.

73(2)ZUᱥᙠxN[3Ḅ\ᑖ]xNᔣO_ᢚDEᑮbcdḄ=eG,Qᙠfd=eGODPSAAPQ=SAAPCD5Qᙶ᪗.(3)mbcnMoN(0,-1)0pDᐜᑮXxNOq("E),rᑮXUᱥḄstNOq("F),ᨬ,unᑮD,5vMunḄwூᑖ᪆௃(1)ᐜ᪷.'&{☢|}Y50AP=2,ᑣᑭᵨP"AB
ABDᯠ,ᑭᵨY5Uᱥ6᪆Y(2)᝞=1,ᑭᵨ_ᢚḄឋEᑮ=eGḄ6᪆Y"y=x2+2x-3(-34W1),y=-x2-2x+3(xV-3ᡈx>l),ᑣᑭᵨ'&{QḄᙶ᪗"1,ᯠ,634X2+2X-3=1ᡈ-X?-2x-3=1
EᑮQḄᙶ᪗(3)᝞=2,ᐜᑭᵨ50Nᐵ2xNstND(0,1),Dᐵ2stNḄstு(-2,-3),@NTTxN2E,Cx=-l2F,ᑣᑭᵨᨬ
ᑨfMunḄw4ᨬ,rᑭᵨLᦪ50CMDDḄ6᪆YDᯠ,EFḄᙶ᪗.ூ69௃6(1),SACAP=1DC(a1,1),.,.—•AP*1=1,DAP=2,•.•P"ABDP(-1,0),AA(-3,0),B(1,0)SAஹBஹD'ḄUᱥḄ⊤XY"y=a(x+3)(x-1),ZD(0,3)ᐭEa3(-1)=3,6Ea=l,

74...SAஹBஹD'ḄUᱥḄ⊤XY"y=x?+2x-3(2)᝞=1,Uᱥy=x2+2x-3]xN_ᢚᡠEḄdUᱥᐵLY"y=-x2-2x+3,D=eGḄ6᪆Y"y=x2+2x-3(-3WxWl),y=-x2-2x+3(x<-3ᡈx>l)•"SAAPQ=SAAPC=1>..QᑮxNḄ"1,...QḄᙶ᪗"1,.\X2+2X-3=1ᡈ-x?-2x-3=1,6EX2+2X+3=1EXi=-1+Dx=-1-634-x?-2x+3=lEXi=-1+,2X2=-1-.,.ᡠ5QḄᙶ᪗"(-1),(-1-A/S>1)>(-1)>(-1-1);(3)᝞=2,VN(0,-1),...Nᐵ2xNstN'(0,1),.D(0,-3),...Dᐵ2stNḄstDD(-2,-3),@NDDDxN2E,Cx=-12F,•.,EN=EN',FD=FD',:.NE+EF+FD=EN'+EF+FD'=N'D',fMunḄw4ᨬDCNDḄ6᪆Y"y=kx+b,ZND(0,1),DD(-2,-3)ᐭEL6EDDCNDḄᐵLY"y=2x+l,AE(--i,0),2x=-1Dy=-1,F(-1.-1).

75Z4Z228.ᙠAABCDBDᑖNABC(NABCV60°)(1)᝞=1,DᙠAC¡ODmNABC=42஺DZACB=32°,¢C@ᑏ0AB,DCBCḄᦪ¤ᐵL.(2)᝞=2,DᙠaABCᑁ\DPNACD=30஺DজmNBDC=150஺DC@ᑏ0AB,ADBCḄᦪ¤ᐵLD§ᑏ0¨ᡂ©Ḅª.ঝm/ABC=2a,NACB=60஺-%¢C@ᑏ0NADBḄᦪ(ᵨ®aḄY¯⊤?).ூὃ௃'&{±ᔠ⚪.ூᑖ᪆௃(1)ᙠBCO´µBE=BA,@DE,ᵫ'&{ᑁ&ᳮ50NA=180஺

76-ZABC-NACB=106°,ᵫ&ᑖE0N1=N2==NABC=21°,ᵫSASABDE¶·BDA,E0NBED=NA=106஺DZCED=74°,rᵫ'&{Ḅ᜜&ឋE0NCDE=ZCED,0CE=CD,ᓽ
E0¨(2)জ¹ºBAᑮE,vBE=BC,@ED,EC,ᵫSAS·BED^^BCD,E0DE=DC,ZBDE=ZBDC=150°,04CDE"»¡'&{DE0NACE=NACD=30°,ACᚖCᑖDE.ᵫᚖCᑖḄឋE0AD=AE,ᓽ
E0¨ঝ½জD¹ºBAᑮE,vBE=BC,@ED,EC,ᵫ'&{ᑁ&ᳮ50NBDC=150°,ᵫSAS·BEDgABCD,E0DE=DC,ZBDE=ZBDC=150°,ZBED=ZBCD=30°-a,0ACDE"»¡'&{DE0NACE=NACD=30஺DACᚖCᑖDE.0AD=AE,E0NADE=NBED=30°-a,ᓽ
50NADB=120°+a.ூ69௃6(1)BC=AB+DC,ᳮᵫ᝞[:ᙠBCO´µBE=BA,@DE,᝞=1ᡠ?VZABC=42°,ZACB=32°,/.ZA=180°-ZABC-ZACB=106°,VBDᑖNABC,AZ1=Z2=~ZABC=21°,2ᙠaBDE4BDAD
ZS=Z1BD=8D/.·BDE^ABDA(SAS),AZBED=ZA=106°,/.ZCED=180°-106°=74°,VZBED=ZC+ZCDE,/.ZCDE=ZBED-ZC=74°=ZCED,DCE=CD,DBC=BE+CE=AB+CD(2)জBC=AB+AD,ª᝞[¹ºBAᑮE,vBE=BC,@ED,EC,᝞=2ᡠ?VBDᑖNABC,

77DZABD=ZCBD,VBD=BD,.♦.·BEDP·BCD(SAS),DDE=DC,ZBDE=ZBDC=150°ZEDC=360°-150°-150°=60°,/.·CDE"»¡'&{DVZACD=30°,/.ZACE=ZACD=30°DACᚖCᑖDE..AD=AE,BC=BE=AB+AE=AB+AD(2)ZADB=120°+a.ᳮᵫ᝞[½জD¹ºBAᑮE,vBE=BC,@ED,EC,᝞=3ᡠ?:ZACD=30°,ZACB=60°-a,/.ZBCD=30o-a,VBDᑖNABC,/.ZABD=ZCBD=a,/.ZBDC=180°-ZCBD-ZBCD=180--a-(30--a)=150°,VBD=BD,.'.·BED^ABCD(SAS),DDE=DC,ZBDE=ZBDC=150°,ZBED=ZBCD=30°-a,.,.ZEDC=360°-150°-150°=60°,.,.·CDE"»¡'&{D,/ZACD=30°,.,.ZACE=ZACD=30°,/.ACᚖCᑖDE..AD=AE,ZADE=ZBED=30°-a,.ZADB=150°-(30°-a)=120°+a.

78E29.¿»Ὺ'&{Ḅ*DᡃÂ*ᨵbÄÅ¡Æ»ḄÇÈ¡{ÉÊ"»Å¡È¡{”.(1)᝞=1,ᙠÈ¡{ABCDÍÎbcᩩÐvEÈ¡{ABCD"»Å¡È¡{”.¢ᑏ0ÑÍÎḄbcᩩÐ.(2)Ò⚪ÓÔÕÖ×0ØbcÙÚs&ÛÆᑖPÆ»Ḅ"»Å¡È¡{"Ü3{.᝛ḄÙÚÜᔩߢàᳮᵫ.(3)᝞=2,"»Å¡È¡{"ABCDDAB=AD,ZBAD+ZBCD=90°,AC,BD"s&D4âM.ãÓÔBC,CD,BDḄᦪ¤ᐵLD§ÑḄ¨.ூὃ௃È¡{±ᔠ⚪.ூᑖ᪆௃(1)ᑭᵨ"»Å¡È¡{"Ḅ*ÍÎᩩÐᓽ
.(2)ᵨä{å{ḄᑨDᐜᑨ0È¡{æä{Dçå{DEᑮè

79Ü3{(3)ᐜᑨ0·ACFSAABD,EᑮCFwᔊBDDr50NCBF=90஺1ᨬ,ᵨêëᳮᓽ
56.ூ69௃6:(1)AB=BC,ᳮᵫ.È¡{ABCDÇÈ¡{DPAB=AC,ìÈ¡{ABCD“»Å¡È¡{”.(2)জÜᳮᵫ"È¡{Ḅs&ÛÆᑖPÆ»DÈ¡{ABCDä{È¡{“»Å¡È¡{”D...îcÈ¡{ᨵbÄÅ¡Æ»DÈ¡{ABCDå{..s&ÛÆᑖPÆ»Ḅ»Å¡È¡{Ü3{D(3)BC2+CD2=2BD2᝞=DVAB=AD,..ï4ADCðAñòᑮ^ABF,@CF,ᑣaABFaADC,/.ZABF=ZADC,NBAF=NDAC,AF=AC,FB=CD,.-.ZBAD=ZCAF,óᗞ.,.·ACF^AABD,,õ4/^᩹DgᔊBCD

80VZBAD+ZADC+ZBCD+ZABC=360°,DZABC+ZADC=360°-(ZBAD+ZBCD)=360°-90°=270°/.ZABC+ZABF=270o,ZCBF=90°,2?,B=CF=(72»)DBC2+CD2=2BD2.

81