2022年广东省佛山市禅城区高考数学调研试卷（一）（附答案详解）

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2022
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215.ᦪᑡaḄn⚗w2,ᦪᑡᓽwᓫ⌴ᦪᑡᦪᑡS"wᓫ⌴ᦪnUᑏᩩḄaᦪᑡ6Ḅ⚗s______.16.ᙠABCᑁ4B,CᡠEḄᑖwa,b,c,4BCḄ☢wS=¡a?,4᮱+c2-kbc<0ឤᡂ8ᑣ/cḄᨬo§w.¨ஹ©ª⚪(lᜧ⚪ᐳ6o⚪ᐳ70.0ᑖ)17.=>¬dI0Ḅ¬ᦪᑡ¯Ḅn⚗w%,S=25,a2ᵫ3Ḅ⚗•5(1)±ᦪᑡ஺"Ḅ⚗s(2)³%=9,±ᦪᑡ%Ḅ“⚗;arn,an+l18.=>?ᦪ/(x)=2x-¹-a/nx.(1)=>/(x)ᙠOᜐḄᑗ¼\]wy=x,±cᦪaḄ§;(2)=>/(%)ᙠ(1,+8)?ᦪ±cᦪaḄ§¿.19.ᙠÀÁὺÃὃÅ⌕±Çὺὅ6⍝ᜓ⌱⚪ÀឋÍ3⍝⚪Î78ÏᡂᡠÍḄ3⍝⚪.ᵬÐ%&ÏᡂᐸḄ4⚪Ð%&ÏᡂÒ⍝⚪Ḅᭆ᳛w|,Ò⍝⚪Ïᡂ3ᔲ64×ØÙÚÛÜ%&Ïᡂ2⍝⚪ÝÞßᐵ.(1)áᡠÍḄ3⍝⚪ᵬªEḄ⚪ᦪwX,±XḄᑖâᑡãä;

3(2)áЪEḄ⚪ᦪwy,±åḄᑖâᑡஹãä\¬.20.^(i)3asinC=4ccosA@2bsin^-=æ:aᩩF⌱a⊡ᐙᙠ!☢é⚪ᯠ멪⊡ᐙÏ᦮Ḅ⚪.ᙠAABC4,B,CḄEᑖwa,b,c,=>,a=3^2.(1)±sinA(2)᝞îMAC,MC=MB,^ABM=p±c.21.ïðẆòóôõö÷ø©ùúûüᦟé⚪Ḅþÿᘤ.ᘤḄ᪵Ḅ!ᵨ#$%&'ᑮ)*Ḅᑁ,.-./0&123ஹ567ᐺஹ9ℳ;<=>ᦟ@ᑁ,ABCᑁ,ᢝEFG.ᘤᢗIJKLᑮM%NOPQR.SMFTᙢVWXᜧOPZ[\Ẇ^_`abcdefg100hᘤ(jklmn)pqᐸឋᢣᦪvwᑴ⚣᳛ᑖ|}~(᝞1)4⚓ᐳ19⚓

4
ᙢ“mnḄឋᢣᦪᙠ50,70Ḅ〉ᔠᡲ2!ᵨkl4mnᙠ70,90Ḅ〉ᔠ2!ᵨkl8mnᙠ90,110Ḅ〉ᔠᜧ2!ᵨklCmn,A,B,C,mnḄ├ᑭᑖS¡h1.5,3.5,5.5ᓫ¤ᐗ,¦100hmnḄឋᢣᦪ¤§ᔜ©ªḄ⚣᳛«¬mnḄឋᢣᦪ¤§Z©ªḄᭆ᳛.1®¡hmnḄ¯ᙳ├ᑭ;2Z[\SM³´⃩├¶ᵨxᓫ¤¸ᐗ¹´├ºyᓫ¤¸hḄ¼½¹¾5´Ḅ´⃩├¶ᵨ஽´├ºS஺=1,2,3,4,5ᦪÂÃMÄÅᜐᳮÈᑮḄᦣÊ᝞2ËÌpqºḄÍ.555isW%”-")21=1i=li=li=l16.3024.870.411.64⊤="஽Vj=Inyt$u=v=᪷ÂᦣÊᑨ×,y=a•”ÛS´├ºy¸hᐵ§´⃩├¶ᵨx¸ᐗḄÝÞ~ß.জáâyᐵ§xḄÝÞ~ß;3ᵨᡠ®ḄÝÞ~ßäqZ[\åᢗᐭNç⃩├¶è!ÈZmn´Ḅᦈêëᑮᨬᜧ?ᦈê=├ᑭ⃩├¶ᵨgei59=64.ïὃ[ñ¹§òᦪÂ%,%,u,u.....'u,v(,ᐸÝÞ}cv=a+,஻Ḅ22nn÷᳛øùḄᨬúûäqᑖSS=ᓾþ:a=v-pu-

522.
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6%ᫀ'(᪆1.ூ%ᫀ௃cூ(᪆௃(-./0ᔠ4={x\x2<2x]={x\x2—2x<0}={x|04nB={x|0<%<1}=(0,1).ᦑ⌱-C.ᓄC0ᔠ4᪷EF0ḄGHIJ4nB.K⚪ὃNO0ᔠḄᓄCPQJR⚪STẠ⚪.2.ூ%ᫀ௃Dூ(᪆௃(-./i-z=2-i,ᡠ>z=F=Sᵨ=-1\2஺11(\)ᡠ>|z|=,(_1)2+(-2)2=V5ᦑ⌱-D.ᐜᓄCbᦪz,c᪷EdḄQJefᓽh(.K⚪ὃNObᦪḄdḄ(ὃNOijḄQJklmnTẠ⚪.3.ூ%ᫀ௃Cூ(᪆௃(-•.ᦪ/Q)={ᶇ:1*<1•1•/(-2)=Iog4=2,2/(Zn4)=eln4=4,•••/■(—2)+/'({4)=2+4=6.ᦑ⌱-C.}~f(—2)=log24=2,/(/n4)=eln4=4,ᵫk஻-2)+f34)Ḅ.K⚪ὃNᦪḄὃNᦪឋTẠὃNQJ(klSTẠ⚪.4.ூ%ᫀ௃A

7ூ(᪆௃(-E⚪-■—-\>>>1>>11>>>C>1>BE=AE-AB=-AD-AB=---(AB+AC)-AB=--AB+-AC,332ஹ,66ᦑ⌱:A.᪷E஺SBCḄES4஺Ḅ☠4Ḅᑖᓽh%ᫀ.ὃNᔣஹ'ᦪḄH>ᔣḄᦪQJSTẠ⚪.5.ூ%ᫀ௃Aூ(᪆௃(-m>1,ᵫlogmn>஺n>1,1-m<0,1-n<0,ᑣ(1-m)(l-n)>0ᡂ0000,ᑣ(1—m)(l—n)>0ᡂᓽᐙᑖឋᡂ(1\m)(l-ᑍ)>0ᑣ¢ᡈ00§Hᓽ¨⌕ឋªᡂmBPlogn>0S(1-m)(l-n)>0Ḅᐙᑖª¨⌕ᩩ¬,mᦑ⌱-A.᪷Eᦪªf>ªfḄឋ®ᔠᐙᑖᩩ¬'¨⌕ᩩ¬ḄGH¯°ᑨ²ᓽh.K⚪³⌕ὃNᐙᑖᩩ¬'¨⌕ᩩ¬Ḅᑨ²᪷EᦪªfḄ('ªfḄឋS(´K⚪Ḅᐵ¶.·⌕¯°ᑖ¸¹º.6.ூ%ᫀ௃Bூ(᪆௃(-tana=sin(2a+^)-lcos2a-l-2sin2a»1•----------——=---------=-------------=—tana=sin(37r-2a)sin2a2sinacosa2ᦑ⌱:B.᪷E
ᩩ¬®ᔠ¼½¾ef>¾ᦪḄ¿~efᓽh(.K⚪³⌕ὃN¼½¾ef>¾ᦪḄ¿~efmnTẠ⚪.7.ூ%ᫀ௃C"8⚓ᐳ19⚓

8ூ(᪆௃ூᑖ᪆௃K⚪ὃN᣸ᑡḄÂᵨ·Ãᐜᑖ᪆Äᑮ▲ᑴḄᐗÉÊËIᦪÌᳮḄÂᵨmnTẠ⚪.᪷E⚪ᑖ2ÎÏйº-জÒS"ÓঝÒªS"ÓᑖÕÖÎÏÐḄ×᣸ØᵫÌᳮIJh%ᫀ.ூ(%௃(-᪷E⚪ᑖ2ÎÏйº-জÒS"ÓᑣÙஹÚஹÛ×᣸ᙠ"\ஹ¼ஹÜÝᨵß=6Î×᣸ØঝÒªS"ÓᑣÒḄ×᣸Øᨵ2ÎÙḄ×᣸Øᨵ2Îᒕá2âᨵã=2Î×᣸Øᨵ2x2x2=8Î×᣸Øᦑᨵ6+8=14Î×᣸Øᦑ⌱C.8.ூ%ᫀ௃Dூ(᪆௃(-ä⏀æçèéæêª᪀ᡂ⏀ì¼160x(1-20%í<20,0.8x<0.125,:.x>10,ᦑ⌱-D.ᑭᵨ⚪Ḅᩩ¬ᑡ⊈ð⏀ñòP⏀æḄᐵófcᑭᵨᢣᦪªfᓽh(.K⚪ὃNOᦪḄ▭ÂᵨᢣᦪªfḄ(ijḄᦪiQJklmnTẠ⚪.9.ூ%ᫀ௃BDூ(᪆௃(-4᪷Ea>öa=0,ᓃ=\1,øùுûᡂᦑAªüýB.a>b,ᑣ᪷EªfḄឋha3>b3,ᦑ8üýC.᪷EQb=1,a=b=-1,øiJa+bN2ªᡂᦑCªüýD᪷E஺2+þ=1,h1=+᮱2Q/J,•.ab
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9ᦑ⌱BD.᪷ᔜ⌱⚗ḄᩩᑭᵨᱯᡈḄឋᑖ!ᑨ#ᓽ%.⚪ὃ()Ḅឋ*+⌕ὃ()-ᓄ/01Ạ⚪.10.ூ6ᫀ௃BDூ9᪆௃ூᑖ᪆௃⚪;⌕ὃ(<=Ḅឋ>ឋ?ᐵឋ᝱ᑖBḄឋ?ᐵᢣᦪḄEFGH1IJ᫏⚪.ᵫ⚪Mᑭᵨᭆ᳛PQḄ?ᐵGH⌲Sὃ(ᡠUḄ⌱⚗Vᔲᓽ%XḄY⚪.ூ96௃9⌲Sὃ(ᡠUḄ⌱⚗Z᪵ᦪX1%2....Ḅ<=^2,ᑣᦪ2-1,2bS1…2.0-1Ḅ<=^22x2=8,ᦑA┯ijklឋ?ᐵᐵ~ᦑBvwX᝱ᑖBN(3R2),p(x<4)=0.64,ᵫ᝱ᑖBḄឋ%P(3<-=>,JLUOJLUXJ.OO•••P(M|4)=%=©=4,ᦑAjIB,PC/)=P%)=*2q2P(MH)=P(M|X)=^X^=^,22•-P(M)=PG41)P(M|4)+PCA)P(M\A)+P(43)P(M|A3)2226353527r/±ᙠஹ´n=-x——x——x-=—,1IµBᓝ·ὶj5111011101155¹10⚓ᐳ19⚓

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11%Ñᦪ/(X)yh(x)ᨵùÝúßᐸJᒹýX=O,ᓽ

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