江苏省南京市2022-2023高三上学期9月学情调研数学试卷及答案

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2023Ẇᦪ2022.09
⚗1.ᔁᐳ6⚓ᒹᓫ⚗⌱⚪(1⚪8⚪)ஹ⚗⌱⚪(9⚪12⚪)ஹ⚪(13⚪16⚪)ஹ⚪(17⚪22⚪)!ᑖ.ᔁ#ᑖ$150ᑖὃ()$120ᑖ*.2.ᔁ+ὃ,-./01Ḅ3᪥ஹ56ஹὃ,78ᙠ⚪ᓱ;ᢣ=Ḅ>?.3.@⌱⚪(⌱ABC⚪ḄᫀEᵨ2BHIᙠ⚪ᓱ;/JK⚪L⌱⚗ḄᫀMNO8P᝞◤ᦋTᵨUVWXYEZ⌱8ᐸ\ᫀ.ᫀ]^ᙠᔁ;.4.`⌱⚪.aᵨP⁐cdḄeIᡈgcI@ᫀ.aᑏᙠ⚪ᓱᔜ⚪Lᢣ=jkᑁᙠᐸ\>?@mnoᦔ.ஹ⌱⚪ᜧ⚪ᐳ8ᙢ⚪5ᑖᐳ40ᑖ.ᙠ⚪Ḅ⌱⚗ᨵ⚗ᔠ⚪⌕!Ḅ"#$ᫀ&'ᙠ$⚪ᓱ)*+,-.1.qrᔠ=8={x|x+l>0},ᑣ=A.(-3,-1)B.(-1,2)C.(2,+8)D.(-3,+~)2.ᦪz=(2+i)i,ᐸi$ᦪᓫ>ᑣzWḄ$A.3B.3C.3D.53.ᱏM4,22),ᑣP(8?Ḅ>ßy(m)á()(s)Ḅãᦪᐵå$y=sin(3/+0)(3>0,ç<ᐔ)᝞Ï2.¤é¯°ᘤᙠ᤮T×Àêëìíᑮ¸îm>?Ḅ()ᑖï$33(0?Ḅ>ßᜧô0.5mḄõ()$

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2023ABὃDᦪEὃ.ᫀ1.B2.D3.A4.C5.D6.A7.B8.C9.BC10.AC11.ACD12.ABD15.2—g16.(U2ᐔ1—TI]13.1414.4334B——ᝢ——,-----------17.°:(1)ᙠAABD:ᵫsinZADBsinZABDsinZADB±'2ᡠ´sinN4O2=l.µ+0஺135஺ᡠ´NZDB=90஺,ᡠ´BD=NAB2—AD2=3&(2)ᙠ·/£)£■:DE=2BD=2,,3µ+//OE=90஺ᡠ´=W¸ᧅᓭ=»,AE13ᙠ·NCD:AC=2AE=2,,4D=3-cos/D4c13ᡠ´CD^AD^AC^-lADACcosZDAC^SO,ᓽ஺=5ᖾ,¾iஹi/skAD2-^~CD2—AC23ᡠ´cos/4OC=----------------------2ADCD518.(1)°µ+41=6,¿=12,43=20,ᡠ´஺2—01=6,Àߟ஺2=8.Áµ+ᦪᑡ
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8ᡠ4'☢5I"஺Ḅ☢5Ḅ89:;20.[\প^=(45+5+35+15)(45X15-35X5)26.25.(45+5)(35+15)(45+35)(5+15)=6.25V6.635,ᡠ4bᨵ99%Ḅfghi᪥✌lmnop>qὃsḄtuvᔲᔠyzឋ|ᨵᐵ.~2Y2IᔠyᦪX,ᑣXḄOv:0,1,2.P(X=0)C'C'3P(X=1)=^7^=2,C507P(X=2)ᡠ42IᔠyᦪḄᭆ᳛ᑖX0123317P35735ᡠ4ᦪtᡈ¥Y=0~+I+21|=.~3Yi᪥✌lmnop>qὃsḄtuᔠyḄᭆ᳛=0.8.100lὃsᐰᔠyOᑖH:\tulὃsᔠy+ᑣᭆ᳛0.82=0.64':tuIᨵlὃsᔠy,'lᔠy,ᑣᭆ᳛CX0.8X0.2X0.9=0.288H\tuIlὃsᔠy+'lᔠy+ᑣᭆ᳛0.22X0.92=0.0324

9ᡠ40.64+0.288+0.324=0.9604,ᡠ42tul>qὃs+¡ᐰᔠyḄᭆ᳛0.9604.21.[\(1)¢ᱥ¤¥=2pxḄᯖJ¨(30).=P(0,2),©NP/7IJ+ᡠ4Ze+1).=Zᙠ¢ᱥ¤¬+ᡠ4l=2p><2,[X஺=ᖾ.4(2)ᵫ⚪³´µ¤/Ḅ¶᳛·ᙠ.µ¤/Ḅ<¸y=Ax+2,A(x\,º)+8(x2,ಘ+ᑣ>¼=2ᖾ8½=2¾¿ᵫÀÁஹ+X02—2/Ä+4ᖾ=0,ᑣÅ+Æ=+ykO.kkᎷ·ᙠÈJ7(n+஻)+ᑣ==3n+y\—n),78=(M—஻?+y2~n),ᡠ4L4,6=(»—஻?)(X2—஻?)+(yi—஻)(Ë21஻)=(-^)/i2-zw)(-^y22—zw)+(yi_஻)(Æ஻)=312y22~~m(y\2+^22)++>>1^2Î஻(yi+y2)+஻2=%ÏЗ¾)+/+Ñ—¾+“2N4%Ó,kk—(4—2\[2m)^-+(4஻?+4s—2Ð+n2+/.k2k⌕ÖX⁰•Øᦪ+ᑣÙÚ'Û=0,[X஻i+஻=4,ᡠ4·ᙠÈJTCÝ+4),EÞßà="?2+/=18.22.[\(1)ᵫ/(x)=es-x,XK(x)=ae"x-1.â"(x)=0,Xx=—Lna.aäxC—LnaOæ+/V)<0;äx>èn“Þ+/'(x)>0,aaᡠ4+/(x)Ḅéêë(8,--Ina),ìêë(1ln஻++°°).aa(2)gC^GrOO—a+BQ/,neax—+/—1],x£[0,+°°).ᑣg,(x)=aQax—ax—\,gn(x)=a(aeax—\)=aজäÞ+

10=x20,ᡠ4g"(x)Äa(“1)Ä0,ôàg+(x)ᙠO,+8)¬ᓫö⌴ì.=Eg32g'(O)=aT>O,ᦑg(x)ᙠ0,+8)¬ᓫö⌴ì+ᡠ4g(x)2g(0)=0ឤᡂû+=Eüᔠ⚪³.ঝä0