2021-2022学年甘肃省兰州市城关区八年级(下)期末数学试卷(含解析)

2021-2022学年甘肃省兰州市城关区八年级(下)期末数学试卷(含解析)

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时间:2023-04-15

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13........15.ூ"ᫀ௃30஺OO+•••CC'஻4B,..../.CCA=/.CAB=75°,....•••ᵫxyḄឋ{|AC=AC,..#.$ACC'=/.ACC=75°,郝郑../.CAC'=1800-75°-75°=30°,............•••$BAB'=30°.........ᦑ"ᫀ1+30஺.......OOᵫ

14ZF=DFBC=DCE,BC=CE'^FBC^^DCEQAAS^BF=CD,vCD=6,:.BF=6,vzF=zD,:.AF=AD,vAB+AD=16,:.AD=16—AB,vAF=ABBF=AB6,A16—AB—AB+6,•AB=5,ᦑ"ᫀ1+5.4B,DCᑭᵨ“K}mh”AFBCmDCE(44S),nlBF=CD=6,ᵫAB+40=13,AF=AB+BF=AB+6,AD=AF,n13-4B=4B+6,ᓽ@l4BḄ.⚪ὃ=ᐰmhfḄᑨj>ឋ{¡¢£l¤¥}᪀⌼FB-DCE¨©⚪Ḅᐵ.17.ூ"ᫀ௃+ªx-3(%-2)W8,n+x>-l,ª«—1<3—gx,n+x<2,ᑣªḄ®1—1

15........=8x2x(-3)OO=-48.....ூ᪆௃ᐜ7ᑖ8ÄÅÆ.....⚪ὃ7ᑖḄÇᵨᐜ¡¢7ᑖ8᦮ÈÄᣚ@@⚪Ḅᐵ...郝郑..19.ூ"ᫀ௃+᝞Ë,..........................OO.....鼠.....蒯笈I-...-.£ᵫmhfᑁhijᳮn+41+45=48+49,......郑.**•z.1+z.2+z.3+z.4+z.5+z.6+z.7=z.1+z.5+z.2+z.3+z.4+z.6+z.7=Z.8+.......+42+43+44+46+47=180°X(5-2)=540°..OfeOூ᪆௃ᑭᵨmhfᑁhijᳮΪÏᑣËfyᓄᡂÏᑣËf+Òef...热...⚪p⌕ὃGefᑁhi⚪ᐵᑭᵨmhfᑁhijᳮΪÏᑣËfyᓄᡂÏ..祖ᑣËf....期邮摒..20.ூ"ᫀ௃+ÓᑖÔn+3%-1K(2%-1)0+1)=/-1,.....氐.......᦮ᳮn+3x?—2x—1=0,.......姆...n+Xi=1,x=-p..冰..2OOÚÛ+Üx=1Äᐭn+(%+l)(x-1)=0,......Üx=Äᐭn+Q+1)(%-1)40,....%!=1,Ḅà᪷X=-1,Ḅ᪷2氐S.ᑣ,Ḅ᪷.......ூ᪆௃ᑖÓᑖÔyᓄ1᦮@l᦮ḄnᑮXḄáÚÛᓽ.......nᑮᑖḄ.....Oâ⚪ὃ=ᑖᑭᵨ=yᓄḄãäᑖåæ⌕ÚÛ.O.......16⚓ᐳ25⚓...

1621.ூ"ᫀ௃ঝ41=42,ঞ4஺=B0জ24=48ê+⌱ìḄí|ᩩঝ41=42,@AO=BO,oîজ4=/B,ïð⚪1êð⚪ᳮᵫ᝞ñ+•••Z.1-Z2,•0C=0D,vAO=BO,ò஺+஺஺=8஺+஺஺ᓽ4C=BD,ᙠò஺0i480C(AC=BDjzl=z2,(CD=DC#^ACD=LBDC(SAS},•4=£B.ôõ⌱ìঝঞ£1ᩩজ£1oîᑨj4CDmABDC,ᓽoîᡂöᦑ1êð⚪.⚪p⌕ὃð⚪>jᳮ|÷mhfᐰḄᑨj"â⚪Ḅᐵ.22.ூ"ᫀ௃mᑖḄøឋ{KùúûÃúûü☢Ḅþ⚗ÿᨵজᓄᑖᑮḄᑖḄᑖḄឋᦑ"ᫀ$ᑖḄឋঝ&'()┯+,┯+Ḅ-./0102☢Ḅ4⚗6ᨵᦑ"ᫀ$/0102☢Ḅ4⚗6ᨵX2-1-(X-1)(X+2)(X+2)ZX+2X-l=(%+2)-%ߟ29@A=—41,-=—(—4)—2=4—2=2.জ᪷⚪HḄIJ"⚪;ঝ᪷⚪HḄ"LMJ"⚪

17........4ᐜO⚪HḄIᓄᯠQRᐭXḄTUVᓽJ.OO⚪ὃYᑖḄᓄZT"⚪Ḅᐵ\]^ᑖ_ᔠaVḄaVbᑣdaVef,....gh/010ᑁḄjᔲᓄ.......23.ூ"ᫀ௃(DnopqrsḄBtuᱏḄᓫx$xᐗz{tuᱏḄᓫx$9)郝郑..ᐗ..........⚪h᠗4200......X........x=35,..OO}~x=35-MḄjᔠ⚪h.....•••x-9=26..鼠..."opqrsḄ4tuᱏḄᓫx$26ᐗBtuᱏḄᓫx$35ᐗ...蒯(2)nrsa4tuᱏᑣrs(200-a)Btuᱏ笈I-...-.⚪h^(200—a)

18.24.ூ"ᫀ௃164(1)x2—8x+16=(x—4)2,ᦑ"ᫀ$:16,4.(2)x2-10x+2=x2-10x+25-23==-5)2-23.v(x-5)2>0,•@x=51-ᨵᨬT—23.(3)M-N=6a2+19a+10-5a2-25a=a2-6a+10=a2—6a+9+1=(a-3)2+1.•••(a-3)2>0,:.M-N>0.•••M>N.(1)᪷¯ᐰ±²Ḅᱯ´Z.(2)ᐜµZᨬT.(3)¶·Qµ¸¹ᜧ.⚪ὃYµ¥ᐸ£ᵨ»¼¯ᐰ±²Ḅ᪀ᱯ´Z⚪Ḅᐵ\.25.ூ"ᫀ௃2ঝঞx<-2ᡈ0Ã(ᦪÄÅ᝞Ä:

19........OO..........邪郑............................OO..ᦑ"ᫀ$2,—Ç...鼠.....蒯(2)ÈÉᦪy=ÊḄÄÅJtI-lজ@-2xḄÖ$x<2ᡈ0

20ᙠð4”dðDEBZ.AFE=DBEZ.AEF=DEB,AE=DEAEF=LDEB^AAS^AF=DB,DBCḄËACD=BD=AFf-AF//DC,•ñòó4DCF±ôñòó•Z-BAC=90°,•AD=CD•ñòóADCFõó2ᵫö1JXAEFADEB,:.AF=BD=5,••$ø£/=S^BDEF***S&ABF=^AABD»v/-BAC=90°,஺BCḄË:.BC=2BD=10,vAB=8,AC='BC?-AB2=V102-82=6•*,SுABC=5X6x8=24,S&ABD=5sð4BC=12,S&ABF=12ூ᪆௃ö1ᵫ“44S”Jêð4FEZiDBE,JAF=BD=CD,Jêñòó4DCF±ôñòóᵫÑûûóḄឋJê40=CD,J¡2ᵫüýþᳮACḄ48CḄ☢ᵫ☢ᐵ.⚪ὃḄᑨឋᐰḄᑨឋḄឋAD=CD⚪Ḅᐵ.27.ூ"ᫀ௃%1&4BDῪᳮᵫ᝞*va24-2ab=c24-2bc,

21........•(Q—C)(Q+c+2b)=0,OO••a+c+2bW0,....•a=c,.....•.ABDῪ...(2)&᝞-.ABḄ/0123DF,ᑣ5ஹ郝郑..ᵫ(1)7Q=c,£ஹ......../.AB=BD/.FAD=/.EDA,/'ஹஹஹஹ\....f......v0EBOḄ/0F1ABḄ/0BLgpC?........OODE=”D,AF=^ABDF//ACff....•DE=AF,Z-ADF=$DAC,.鼠...ᙠZMDFDAE/..蒯AD=DA笈I-$FAD=$EDA,...-.AF=DE£....•ADFAZMEGAS),..郑.....•Z.ADF=Z-DAE,....Ofe•$DAE=Z-DAC>O..热.4D"ACḄ<ᑖ>....ூ᪆௃(1)@AB“஺2+24=஺2+2F”HAᑖ7a=c7ᑮJBDḄKL.祖...(2).48Ḅ/0123DF,ᐜAADFmAZME,7NIJNADF=NZME,ᯠPᵫa=c期邮摒7Nlj0DCDḄ/0QR7NIJ0F//4C,7NUS4DF=ADAC,ᨬP7NU/ZME=ADAC,.......氐...ᓽ74஺NE4CḄ<ᑖ>...........⚪ὃᐰḄᑨVឋஹῪḄᑨVឋஹḄឋஹ<.姆....冰...ᑖ>ḄX⚪ḄᐵYZ[@ᩩ]HAᑖ“a?+2ab=c2+26cwHAᑖ7ᑮOO..ABOῪ.........28.ூ"ᫀ௃^ᡈ2氐S&(1)`aBFEG........ᳮᵫ&᝞-1,AD//BC,.......•••AEFO=/.BGO,EF//BG2.....O■■FGᚖ<ᑖBE,O.•••$EOF=4BOG=90°,OE=OB,....-1..c22⚓,ᐳ25⚓...

22•••E0FwaB0G(44S),:EF=BG,`aBFEG

23........BN=AB=2,OOA'B=AB=2,....ABr0Bᑮ>MNḄ~....w0a'V0Nᔠ..•••/.BA'E=44=90°=4BNM,郝郑...••AEVNMᔠ0EV0Mᔠ..........•••AE=AM=2,............{ᡠAEḄ2ᡈ2,....3OOᦑ"ᫀ&ᡈ2...3...鼠.(3)᝞-4,ᵫ(1)7`aBFEG....lBF=EF=x,蒯笈•••`a2BCD“m"zZB=a,I-...-.£•AD=2AB=2a,......郑.-4.•Si=S89BFEG=QX,S2=S:9ABCD=2a•Q.......2a2,OfeO..1=N.热.*S248’....ax_25.祖.,•2a2-48'..25期邮摒•X=-a,24.......氐.•.AF=/(—a)2—a2=a,....\ஹ24724.......„7,254..姆..**•AE=——CLH------Q=1Q,..24243..冰..OO•.BE=J©Q)2+Q?=?Q,....ᵫS1=^S27-x-a-FG=-x2a2,..14822348....5••FG=1a.4氐S(1)ᵫmḄឋᐰḄឋᐜ`aBFEG

24AB=a,D=2AB=2a,ᵫᳮᑖEFஹAF.BEḄᵫ☢Aᑡ}FGḄᓽ.⚪0ὃmḄឋஹḄᑨVឋஹpnoḄᱯஹᳮஹw᪷AḄᓄ¡ஹᑖ¢£¤ᦪ¦§¨ḄᵨªV}«⚪ᔠឋ¬®¯¬°ᳲ²³¬ᜧµrὃ¶·p⚪.

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