湖南省长沙市开福区某中学2021-2022学年八年级下学期期末数学试卷

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2021-2022
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16ூᑖ᪆௃¯1ᑭᵨïé%ᦪ0[LMᦪ3᪆¬ß¯2ð:QḄᙶ᪗9¯/,0,ᐜᑭᵨ[LMᦪ3᪆¬óéA:ᙶ᪗½ᑭᵨÚ☢Hd¬)ᑮôX|ö2|X2=6,ᯠÆ30*ÛÜ)ᑮ஺:Ḅᙶ᪗.2ூ34௃3¯1ð[LMᦪ3᪆¬9÷P¯4,2DB¯0,-2ᑖù-ᐭ)14k+b=2,3)Jk=l,lb=-2lb=-2K[LMᦪ3᪆¬9y=x-2߯2ð:஺Ḅᙶ᪗960,qy=0sx-2=0,3)x=2,.♦.:AḄᙶ᪗9¯2,0Ḅ☢H96,2|X2=6,3)f=8ᡈf=-4,2ß.Q:Ḅᙶ᪗9¯-4,0ᡈ¯8,0.ூ:;௃<⚪ὃ?@ïé%ᦪ0[LMᦪ3᪆¬ᐜð*MᦪḄ[û¬᝞0[LMᦪḄ3᪆¬sᐜðy=H+6ß+ýZþxḄ¾ç$ÿ
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17(1)LnFᦻGHḄ@Mᐳᨵ30q:(2)⊡ᐰᩩ`4ab(3)ᙠᡧ`4ab?⊤xCVWḄᡧ`Ḅᙊz{0144°,b?஻?=30(4)@᪥&GHAVWḄ@M?⌱Ln=FᦻGHAVW?ᨵᵱM%᝕Meᵨᑡ⊤ᡈ᪛bḄᡠ⌱@Mា%ᵱM%᝕MḄᭆ᳛.ூᑖ᪆௃(1)U4ab“A”Ḅᨵ3qᓰ#qᦪḄ10%,#qᦪ(2)“B”qᦪᓽ⊡ᐰᩩ`4ab(3)“CVW”qᦪᓰ᦮Ḅᓽᓰ40%,ᙊz{ᓰ360°Ḅ40%30(4)ᵨᑡ⊤ᑡAᡠᨵḄYZ?¡“%ᵱ%᝕”ḄYZᦪᭆ᳛.ூh௃mপ330%=30(q)ᦑhᫀ0m30,(2)BVWḄqᦪ030-3-12-6=9(q)⊡ᐰᩩ`4ab᝞ibmqᦪt12io|-943320BDVW

18,3/360°XJ2=144°,9+30=30%,30ᦑhᫀ0m144°,30,4/ᵨᑡ⊤⊤xᡠᨵḄYZ¯°᝞i:7!q᝕1᝕2³᝕1᝕1᝕2᝕1³᝕2᝕2᝕1᝕´ᵱᵱ᝕1³᝕2ᐳᨵ6µḄYZᐸ?ᡠ⌱@Mា%ᵱ%᝕ḄYZᐳᨵ4ᑭ¸ᡠ¹p=A»63ூ¼½௃ὃ#ᡧ`4abஹᩩ`4abḄ¿ÀcᑴÁ4ab?ÂᦪÃÄᦪÃÅÆḄᐵk⚪ḄᐵÇ᪵ÉaÊ4a?ËᵨḄ.22.,9ᑖ/᝞bÌ`A8CD,ÏÐѼE,ÓOE=C£/,Ö×AC,AE,ؼCÁCF//AEÙADḄÏÐÚ¼F,Ö×EF.,1/ÛmTÜ`ACFEÞ`,2/Ö×BE,àAC=4,ZACB=30QáBEḄÐ.ூᑖ᪆௃,1/᪷gÌ`Ḅឋ(ᑮ/AOC=90°,AE=AC,EF=CF,᪷gãBÚḄឋ(ᑮAEMEFMACMCF,ᑮYä,2/ᵫæ{ç{`Ḅឋ(AB=2,BC=2᝞,ᵫèéᳮ.ூh௃Ûêm,1/•••TÜ`ABC஺Ì`/.ZADC=90°,.'.AFA.CE,0,CD=DE,.AE=AC,EF=CF,

19.ZEAD=ZCAD,'JAE//CF,.'.ZEAD^ZAFC,.ZCAD^ZCFA,.AC=CF,.AE=EF=AC=CF,TÜ`ACìEÞ`,2/VAC=4,/ACB=30°,ZABC=90",.AB=^AC=2,BC=«AB=2M%2.CD=AB=2=DE,BE={CE2+BC2=V16+12=2W-ூ¼½௃⚪ὃ#$Þ`ḄᑨÌ`Ḅឋ(ᐰVç{`Ḅᑨcឋ(èéᳮÚïᚖæãᑖÚḄឋ(ñòḄóôb`⚪ḄᐵÇ.23.,9ᑖ/õö÷øDᡂ0qùúḄûMüý.>þÿ
ᜓ├Ḅ50ᐗᱥᐸḄ1.3".├#$%&'├(y+,-├ᓫx+ᐗ,0ᔠ23ᦪᐵ6᝞8ᡠ:.+1,;y-x<$Ḅ3ᦪᐵ6=>?@ᑏBCD(xḄEFHI+2,K├ᓫLMNOPQᜩḄᑭT600ᐗV+3,├ᓫMNᐗOPQᜩḄ├ᑭTᨬᜧᨬᜧᑭTLMNᐗVூᑖ᪆௃+1,]y-x<$Ḅ3ᦪᐵ6=y=^+b,ᵨd6ᦪe;3ᦪf᪆=>᪷h⚪j;BCD(ḄEFHᓽlI+2,᪷hḄᑭTX├(=600ᑡBᐗo2pqfpqEᙠ50WxW65HᑁḄFᓽlI+3,᪷hḄᑭTX├(=ᑭTᑡB3ᦪf᪆=>᪷h3ᦪḄឋv;ᨬFᓽ

20l.ூfw௃fx(1)]y-x<$Ḅ3ᦪᐵ6=y=fcc+4᪷h⚪j~x55k+b=70,I60k+b=60f~"k=-2,lb=180**.y=-2x+180,•••ᱥᐸḄ1.3"I.50WxW65,-x<$Ḅ3ᦪᐵ6=y=-2^+180(50WxW65)I(2)᪷h⚪j~x(%-50)(-2x+180)=600,᦮ᳮ~x/-140x+4800,~xx\—60»X2~80»x50WxW65,I.x=60,wxK├ᓫL60ᐗOPQᜩḄᑭT600ᐗI(3)]PQᜩḄᑭTᐗ᪷h⚪j~xw=(x-50)(-2x4-180)=-27+280X-9000=-2(%-70)2+800,2<0,50WxW65,.♦.Kx=65OwᨵᨬᜧFᨬᜧF750,wx├ᓫ65ᐗOPQᜩḄ├ᑭTᨬᜧᨬᜧᑭTL750ᐗ.ூ௃⚪ὃ23ᦪḄᵨஹo23ᦪḄᵨᐗo2pqḄᵨfw⚪ḄᐵL⚪jᑏBḄ3ᦪf᪆=ᑭᵨo23ᦪḄឋv;ᨬF.24.(10ᑖ)yL¡Ḅ3ᦪ¢3ᦪ8£¤¥ᙠP(a,b)¨©6-a=2,ᑣ«P3ᦪ8£¤“®¯᝞x?°y=2x+l¤¥ᙠḄ“®”P(1,3).(1);?°yᔁx+3¤Ḅ“®”Ḅᙶ᪗I(2)ᙠµ¶°y*(kr0)¤¥ᙠ·“®”V¸·“®”<$Ḅ¹ºX»,;kḄF.(3)¢o23ᦪy^xZ+G-t+Dx+n+tḄ8£¤¥ᙠÁḄ®¸-2W/nW3

21O஻ḄᨬÃFf,;fḄF.ூᑖ᪆௃(1)Ä®P(஻67+2)Åᐭf᪆=ᓽl;fI(2)Ä®P(a,a+2)Åᐭf᪆=;~a=-l±Vk+l-ÉÊ~BP(-1+Vk<,1+Vk+1)>^2(-1-Vk+1.1-Vk+1)>Ìᑭᵨ·$¹ºÍ=ÎÏpq;fᓽlI(3)ÐPḄᙶ᪗Åᐭo23ᦪ⊤Ò=ᓄÔ~xÕ2+(஻?-/)4+஻+×2=0,ᵫ84£¤¥ᙠÁḄ®ᦑÚ=(),~B஻=Û2-2Ü+Ý-Þ2,P3ᦪ8£ßàᔣ¤â«ãä=f,ᑖজKâ«ãLঝKâ«ãL-2,ঞKâ«ãL-2<Û=r<3,éêëìíî;fᓽl.ூfw௃fxপ]®P(a,஻+2),•••PL?°yᔁx+3¤Ḅ“®஺+2--izz+3,24?=2,...P(2,4)I(2)¢P(a,a+2)ᙠµ¶°y=K(A2-I¸/#0)¤X:.k=a(஺+2),*.a=-l±Vk+l».p\(-i+Vk+ii+Vk+i)>Ý2(-1-i-•.•·“®”<$Ḅ¹º•,.[(-1+Vim)-(-1]2+[(l+Vk+1)-(1-Vk^l)F=(ú2,f~xk=-l.4(3):ÝLo23ᦪüý^2+0þ+1ÿ+11+1;ḄḄ4/.<7+2=AZZ2+(m-/+l)஻+஻+/,4/.-^Lz2+(m-/)஻+஻+/-2=0,4•ᙠ!Ḅ**•#=0,(m-t)2-4XAX(”+-2)=0,4*.n=n^-2%&'-&2,

22()ᦪ+,ᔣ./01m=f,জ4./056=f238)ᦪᙠ%=389:ᨬ<=,ᓽ?n=9-6t+(t2-f+2)—t,B:?t—4+\fst=4-yfs(CD)Eঝ4./05-28)ᦪᙠG=-289:ᨬ<=ᓽ?n—4+4t+(?-r+2)—t,(f+1)2=-5,KLMNBEঞ4./05-2

23(2)ᵫ3ஹCḄᙶ᪗º:BCḄ⊤¶,᪷¼AGBC☢S=S&GHC+SAGHB=AGH2•OB,ᓽºjBE(3)ᑖBC1¨©¥¦§Ḅ¦ஹBC1¨©¥¦§Ḅ.½¾¿ÀÁᑖÂjBᓽº.ூBÃ௃B?(1)VA(-1,0),./01*=Å.2.B(4,0),~ᱥḄ⊤¶1?y=a(x+1)(x-4),¸CḄᙶ᪗vᐭB:?஺=-1,2ᦑ~ᱥḄ⊤¶1?y=-▲(x+1)(x-4)=--kr2+-2+2EvV222(2)BCḄ⊤¶1?Ësx+f,ᑣ(4s+t=0,11=2'JB:?Ñs-y,t=2ᦑBCḄ⊤¶1?y=-L+2,2?GḄᙶ᪗1<\Gᙶ᪗(nz,--n?+^-m+2),22GÒGH஻y0Ô8c`஻2AGBCḄ☢S=S^GHC+SGHB=^-GH'OB=1.[-Xm2+ljn+2-(-Xn+2)]X4=&22222-n^+4m--(m-2)2+4,V-l<0,...4஻?=28SḄᨬᜧ=14,

24/XGBC☢Ḅᨬᜧ=14E(3)”Ḅᙶ᪗1(.tn,஻)஻=-L"2+3஻+2,R(i,6),8ஹCḄᙶ᪗ᑖÂ221?(4,0)ஹ(0,2),CᔣÛ¨Ü4Ýᓫßᔣà¨Ü2Ýᓫß:ᑮ8,â᪵M(/?)ᔣÛ¨Ü4Ýᓫßᔣà¨Ü2Ýᓫß:ᑮR(M),ᓽ%±4=1,B:?%=-3ᡈ5,ᦑMḄᙶ᪗1?(5,-3)ᡈ(-3,-7)EQᙠMḄᙶ᪗1(5,-3)ᡈ(-3,-7)ᡈ(3,2).

25ூX௃Z⚪5¥¦§Qᔠ⚪ὃæḄ5\])ᦪḄឋè!])ᦪḄឋèஹ☢Ḅéêஹ¨©¥¦§Ḅឋèëᦪ§ìᔠஹᑖdíîïðñò\])ᦪḄឋè5B⚪Ḅᐵô.

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