2021-2022学年江西高二（上）月考数学试卷（文科）（10月份）（附答案详解）

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2021-2022
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8ᑮì.)⚪ὃ,tᙊ:MḄQ:tᙊkMḄP#ª:íîbW᳛ḄP#ὃ,ØÙPᳮḄÐᵨD@᫏⚪.12.ூ=ᫀ௃Cூ5᪆௃5ñᱥMy2=4xḄᯖQXF,ᑣñᱥMḄjMX=-1,¤4,B,MᙠjMøḄᚖÀᑖXA',B',M',½¾ABF,AA',BB',MM',᝞ᡠ.ᑣMᑮyabd=\MM'\-1="Tý.1=ÄXñᱥMḄëZX2P=4W6=|4B|,ᡠ6ḄA8ᙠᱥy2=4x!ᯖF,#A,F,B$ᐳ&\AF\+|5F|=\AB\,d=2,ᑣMᑮy-Ḅᨬ/012.ᦑ⌱5C.67ᱥḄᯖ89:;&!AஹBஹMᑖ>?44'ஹBB'ஹᚖBC/,ᚖEᑖ>4ஹ4ஹM'.FᵨᱥḄH8IJḄKLᳮ&ᓽ7ᑮᡠ6ᨬOP.Q⚪ὃTᱥḄH8:;ஹឋV&ὃTIJKLᳮḄFᵨ&WXHYḄFᵨZ[⚪Ḅᐵ]&^CK᫏⚪.13.ூcᫀ௃3ூ[᪆௃[5ᵫ⚪X&ᙊiG(0,0),nor=l,ᙊi஺2(3,4),noR=4,ᙊḄᙊi0IGC2I=5=R+r,ᦑᙊv᜜ᑗ&ᦑᙊḄyᑗᨵ3ᩩ.ᦑcᫀ53.ᑖ>6|ᙊi8no&ὃTᙊḄᙊi0}~CᙊḄno8&ᦑᙊv᜜ᑗ&ᓽ7|.Q⚪ὃTᙊḄLᐵ&ᙊḄyᑗᩩᦪḄ&ὃTF6[&^CẠ⚪.14.ூcᫀ௃5

9ூ[᪆௃[5ᵫᩩ?|᝞,ὶ;+2=0,[7MW&ᑣi3)&ᵫz=2x+y,7y=-2x+z,ᵫ&By=-2x+z!A&Bᙠ)&-Ḅ0ᨬᜧ&zᨵᨬᜧP2x1+3=5.ᦑcᫀ55.ᵫᩩ?|&ᓄ᪗¡ᦪB:;Ḅ¢£&ᦪJᔠ7ᑮᨬ¥[&¦ᨬ¥[Ḅᙶ᪗¨ᐭ᪗¡ᦪ7cᫀ.Q⚪ὃTªᓫḄឋ¬ᑜ&ὃTᦪJᔠ®¯&ZẠ⚪.15.ூcᫀ௃1ூ[᪆௃[5᪷±⚪X&ᡠ6²³´C5µ¶·=1ᐹᨵv¹º»&¼²³Ḅ:;y2=3½ᵫ²³C!(4,1),ᑣᨵ1-r=3ᑣt=-3,ᑣCḄ:;~¶?=¶3,ÀJ75¶?=1,ᦑcᫀ57¶Á=1,᪷±⚪X&²³C:y2_?=1,!(4,1),¼²³Ḅ:;y2—9=᝞Æ(4,1)Ḅᙶ᪗¨ᐭÇ6²³:;.Q⚪ὃT²³ḄÈÉឋV&ᐵ]ZÊËᨵᐳ¹º»Ḅ²³Ḅ:;Ḅᱯ&^K᫏⚪.16.ூcᫀ௃6ூ[᪆௃ூᑖ᪆௃Q⚪ὃTᱥḄªᓫឋV&²³:;ḄÍᵨ&ὃTᑖ᪆Î⚪[ÏÎ⚪ḄÐÇ.6|ᱥḄᯖᙶ᪗&9:;&ᯠÒ6|ᱥḄ9´²³ḄÓÔᙶ᪗&ᑭÖ10⚓&ᐳ15⚓

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11BḄ¢᳛kùúᙠ&ûÍᑗ:;x=4èü&ᡠ6Ḅᑗ:;x=4ᡈ3x+4y=0.ூ[᪆௃(1)¦ᙊCḄ:;ᓄ᪗9:;&6|noḄþ:"ḄᨬOPᓽ7|è(2)ᵫ(1)ᙊCḄ᪗9:;&ᑭᵨᙊiCᑮᑗḄ01d=r,ᑗ.⚪ὃᙊḄᵨ⚪ὃᑮḄᵨ⚪Ạ⚪.19.ூ#ᫀ௃&'())+,Ḅ᩽ᙶ᪗0(p,8)(p>0),MḄ᩽ᙶ᪗0(piB)Si>0),ᵫ⚪+:|OP|=p,|OM|=Pi='^,COSC7ᵫ|OM|•|OP|=16,BC2Ḅ᩽ᙶ᪗p=4cos0(p>0),IJ஺2ḄLᙶ᪗0(x-2)2+y2=4(x40)O())+BḄ᩽ᙶ᪗0(p8a)(pB>0),~^0)MḄ᩽ᙶ᪗0(Pi8)(Pi>0)ᑣ|OP|=p\OM\=Pi=s?ᵫ1஺“11஺஺1=16,BC2Ḅ᩽ᙶ᪗p=4cos0(p>0),vp2=/+y2,x=pcosd,y=psin஺wᐭᓽzC2ḄLᙶ᪗O())+8Ḅ᩽ᙶ᪗03&)ᜐ>0),-^

12■■y+y=X+x+2m=-^+2m=y,ABAB+M0ABḄp(_,ABḄpᚖḄ᳛k=-L4BḄpᚖḄ0y-£=_஺+)ᓽX+y+£=0¡P(-3,2)wᐭB'm=2,•IḄ0y=x+2,ᓽ¢—y+2=0,Jaজ0'4/+12%=0,&B4=-3,x=0,B%=—1,y=2B9♦4(_3,-1),8(0,2),/.\AB\=3£¤•pᑮIḄd=ᓃwᚆ=¨V22P4BḄ☢U0:x|AB|xd='x3&x©=:ூ&᪆௃(1)᪷«⚪ᑡᐵR“b,cḄ®&a,6,cḄe¯°BᑮᙊḄ᪗±.(2)+/Ḅ0y=x+m,ᙊὶᑭᵨ³´µᳮA8Ḅpᙶ᪗·°BᑮABḄpᚖḄ¸v,Ḅᙶ᪗wᐭ஻?ḄeᡠgzgA,8Ḅᙶ᪗º|AB|Ḅe,¸ᑭᵨᑮ»¼,ᑮ/Ḅd,¯°AP/WḄ☢U.⚪½⌕ὃᙊḄ᪗±ὃᙊḄ¿ÀᐵÁp᫏⚪.21.ூ#ᫀ௃&'(1)ᵫ⚪zBÂ᳛e=-=2al=10,5ᡠg%=5,Q=4,*=Ä—c=25-16=9,¤ᵫRᯖᙠxÇÈᡠgᙊGḄ᪗±0ᔁ+3=14(2)ᵫÊËḄÌÍឋzBM,NᐵRxÇÌÍᵫgMN0ÎḄᙊាÐÑÊËḄÒ⚔AzB'aAF2M0ῪLLÕÖ×,2|=|,2”|ᓽa+c=—,ᵫ⚪zBc=4,ᡠga?+4a=b2=c2—a2=16—a2,᦮ᳮzBa2+2a—8=0,

13&Ba=2,ᡠgÙ2=c2-a2=16-4=12,ᡠgÊËC2Ḅ᪗±0'?_1=1-ூ&᪆௃(1)ᵫᙊḄÂ᳛ÚÛÇÛḄeḄ,qḄe¸ᵫḄÜqÝÞḄᐵÁ8Ḅe·°ᙊḄO(2)ᵫ0ÎḄᙊាÐÑÊËḄÒ⚔A,zB“ßcÝÞḄᐵÁ¸ᵫÊËḄᯖᙊḄᯖàázBজ஺Ḅe·°ÊËḄ.⚪ὃᙊÊËḄâÚᙊÊËḄឋḄᵨoRẠ⚪.22.ூ#ᫀ௃&'(1)ᵫã:z+äᱥḄ0y2=2px,¤஺ᑮᯖFḄ01ᡠg஺ᑮ±Ḅ01,¤஺ᑮyÇḄ'ᡠgæ1_|,&Bp=q,ᡠgäᱥ0y2=|x(2)Ꮇ+/Ḅ᳛èéᙠᑣ/Ḅ0¢=3,y2=^xὶzBêA,BḄᙶ᪗ᑖì0(3,í),(3,-í)᧕Bï•ᓭ=|,z:0A08èᚖèñò⚪ᦑᎷ+èᡂᡠg/Ḅ᳛éᙠ+I&y—1=k(x—3),ᓽy=kx-3fc4-1,+%),B(x,y)>22fy=kx—3k+1ὶ/äᱥḄB5,)õ᦮ᳮB42%2_(61_2k+2=|)x+9/c2-6/c+1=0,~ro9k2-6k+l,6kZ-2k+|R¢1,ö=ߟø—>ᓃ+ö=—/ùᡠgy2=(kxi—3k+l)(kx-3/c+1)=k2xx—k(3k—l)(x+x)+(3k—2r2t2IP=úû:0A1OB,ᡠgü•ý=0,ᓽ*1*2+7172=°ᡠg1+ᙶ=0,k22k&Bk='ᡈk=2,k
/Ḅy=),OA_LOB,14⚓ᐳ15⚓

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