湖南省长沙市岳麓区某双语实验中学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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16R1PR2PRবூᑖ᪆௃1Pᑭᵨ~kᣚḄឋ\R-ᓽ2Pᑭᵨ^ᣚḄឋ\R-ᓽ3PᑭᵨkᣚḄឋ\R-ᓽ.ூ௃1PR-᝞Rᡠ2PR-᝞Rᡠ3PR-᝞Rᡠ.ூ>?௃@⚪ὃCᑭᵨRᫀᑭᵨ^Rᫀᑭᵨ~kRᫀ⚪ḄᐵN)~kᣚᣚ^ᣚḄឋ\.`ஹ⚪@⚪3{⚪¡⚪10ᑖᐳ30ᑖP20.10ᑖP£¤ᦪP=mr+|,©-4)ª«¬¤ᦪ.¤ᦪP®¯°xḄ²ᜧ´µ.1P¶¤ᦪḄ⊤¸¹2Pº¤ᦪ:16»¯°xḄ.ூᑖ᪆௃1P᪷⚪j]஻?<0,\m\-4=0.]ᓽ2P¾y=16Àᐭ1P]Ḅ᪆¹]x=-5.

17ூ௃1P•.1=Â|-4)ª«¬¤ᦪ,.\|/«|-4=0,'.m=±4,Å•••¤ᦪy®¯°xḄ²ᜧ´µ.'.m=-4,¶¤ᦪḄ⊤¸¹:y=-4x-42PᵫÇÈ]16=-4x-4,]x=-5,,º¤ᦪ:16»¯°xḄ:-5.ூ>?௃@⚪ὃCDª«¬¤ᦪḄÉzv¤ᦪḄឋ\zv¤ᦪRÊW>Ḅᙶ᪗ᱯÌHÈzv¤ᦪḄឋ\)⚪ḄᐵN.21.10ᑖP:DÍÎÏÐÑᑏÓÔḄGÕ²Ö×ØÓÔḄjÙÚÛÜÝD✌ß“ÓÔáᑏᜧâ”ä⌱æᨵ50èÏÐéêëâì50èÏÐí»áᑏ50{ÓÔ£¡ªîáᑏz{ÓÔ]1ᑖ᪷ïðᡂñòᑴôᑖ⚣ᦪᑖö⊤Eôᑖ⚣ᦪᑖö*÷R᝞R⊤øUᡂñXᑖ⚣ᦪúᦪP1ø25&V3042ø30«35a3ø35«40164ø40WxV45125ø45Wxீ50101P⊤aḄ2Pÿ⚣ᦪᑖ⊡ᐙ᦮3ᡂ40ᑖᑣḄ᳛#$%&

18ூᑖ᪆௃1ᵨ-.ᦪ/011ஹ2ஹ3ஹ55Ḅ.ᦪᓽ789஺Ḅ;;2᪷>1?9Ḅ஺Ḅ;⊡ᐰAB3ᵨᡂ40ᑖḄ⚣ᦪCD-ᦪᓽ7?9Ḅ᳛.ூFG௃FH1⊤JaḄ;#H«=50-4-8-16-10=1250GHḄ᳛#0.44.ூQR௃⚪ὃUV⚣ᦪᑖḄWXYᑭᵨAB[\]^ḄWX.ᑭᵨAB[\]^_`abcdeஹᑖ᪆ஹẆgABhWi9jkḄᑨmYFno⚪.22.10ᑖ᝞qrsABCJZC=90°,AB=10,BC=6,AONACBḄ}ᑖ~8AOḄ&ூᑖ᪆௃Q஺i஺EL4BE,᪷>}ᑖ~Ḅឋ?ᑮCD=DE,᪷>ᳮ89AC,᪷>☢89CD,᪷>ᳮB?ᑮGᫀ.

19ூFG௃FHQDiDE1ABE,NACBḄ}ᑖ~DELAB,ZC=90°,.CD=ED,ᵫᳮ7?HAC=7AB2-BC2=V102-62=8>CD=ED=x,ᑣJLX6X8=_1X8X+L><10X,222F?HX=B,ᓽ8=3,33ᵫᳮ7?H=22=₹+ANCOBூQR௃⚪ὃUḄ#ᳮஹ}ᑖ~Ḅឋ᪷>}ᑖ~Ḅឋ?9DC=DE#F⚪Ḅᐵ.¡ஹFG⚪⚪12ᑖ23.12ᑖqr¢£¤¥BḄVᦪy࠷¨¢£©Ḅªxa஻®#¯°ᦪᐵ±.²ᨵ¯´¢£¤¥Bᐸ¶ᑖ·ª~¸ᨎ᝞⊤Jº»Ḅ#¼¤¥B¶ᑖ¸ᨎ·ª~½ᐸ¾¿¢£©Ḅª.¯4041V42¢£©ḄªXC7"4.2.8.29.8¤¥BḄVᦪy°C35.040.042.018yᐵxḄ°ᦪᐵ±◤⌕ᑏ9°ᦪḄÃÄ;2ᵨ¼¤¥B¤¥_¢£©Ḅª6.2cm,8É_¤¥BḄVᦪ.ூᑖ᪆௃1yᐵxḄ°ᦪᐵ±Ê=Ë+4ᵫAB⊤Ḅᦪ>ÌÍÎ589ᐸFᓽ7;2Ïx=6.2_Ðᐭ1ḄF᪆Ò7D89yḄ;.ூFG௃FH1yᐵxḄ°ᦪᐵ±Ê="+6,ᵫ⚪Ó?

20[35=4.2k+b140=8.2k+b'F?HK4b=29.75.,.ÙÚ+29.75.4ᐵxḄ°ᦪᐵ±HÙ½+29.75H(2)Ïx=6.2_y=$X6.2+29.75=37.5.-4GHÉ_¤¥BḄVᦪ37.5࠷.ூQR௃⚪ὃUÞß±ᦪà8¯°ᦪḄF᪆ḄáᵨᵫF᪆᪷>ËâãḄ;8°ᦪ;ḄáᵨFG_89°ᦪḄF᪆#ᐵ.äஹFG⚪(⚪14ᑖ)24.(14ᑖ)᝞,qrRtzMBCJ24cB=90°,ᐜsABCêQCë_┐íî90°/\EDC,sABCïð~BC}ñòsGFE,DEஹFGõöQ”.(1)ᑨm~ø஺EஹFGḄùúᐵ±ûüýᳮᵫ(2)þÿAG,ACEG.ூᑖ᪆௃(1)ᵫḄឋ/BAC=NCEO,NABC=NGFE,ᵫ'(Ḅឋ)*(2)ᵫḄឋAC=GE,AC//GE,AC=CE,ZACE=90°,)*.ூ01௃(1)0DE±FG,ᳮᵫ᝞4,/5AABC67C89┐90°;:.NBAC=NCED,:5aABC>?@BC;AGFE,NABC=NGFE,

21VZBAC+ZABC=90°,AZC£D+ZGFE=90°,:.NFHE=9Q°,!.DE±GF:(2)•5aABC>?@BC;AGFE,!.AC=GE,AC//GE,ACEGDE,/5AABC67C89┐90°AEDC,!.AC=CE,NACE=90°,ACEG.ூ7F௃G⚪ὃJKḄឋEḄᑨMEḄឋENOḄឋ0⚪ḄᐵQ.

22