贵州省贵阳市普通中学2022届高三上学期理数期末监测考试试卷

《贵州省贵阳市普通中学2022届高三上学期理数期末监测考试试卷》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

ḕ□2022ᳮᦪὃᔁ▅ᔁஹᓫ⌱⚪ᐳ12⚪ᐳ24ᑖ!ᑖ1.(2ᑖ)ᔠ4={x|%2-4xw0},B=(x\x=2n-1,nCN},ᑣ/ClB=()A.{3}B.[113}C.[1,3,4}D.[1,2,3.4}2.2ᑖᦪz=*,ᑣᙠ☢ᑁzḄᐳᦪḄA.▲B.▲C.▲D.!▲3.2ᑖ"#$Ḅ%&'4—3=1("#$Ḅ)⚔Aᑮ,-$Ḅ./'41ZA.1B.V2C.V3D.2V34.2ᑖ0ᦪ/%'R2Ḅ᜻0ᦪ(4x>05(/%=ex+1,ᑣ/m6=A.-3B.-1C.1D.35.2ᑖ“89ᵯᖪ”=ᡂ'4?=@ABḄCDE(FᵯᖪGḄ89H=⃩ᓄᝢLMNOPᜧRᖪL(2020S?TUV(W89HXTUVḄᦈᐭ[\2UVḄᦈᐭ]^_(ᐸ?UVḄᦈᐭab᝞dᡠf(ᑣgᑡijklḄmA.W89HUVnᦈᐭmUVnᦈᐭḄ3oB.W89HUVᓄᝢLᦈᐭmUVᓄᝢLᦈᐭḄটc.W89HUVᓄᝢLᦈᐭmUVᓄᝢLᦈᐭḄ;6D.W89HUVNOᦈᐭr?PTUVḄNOᦈᐭsM

16.2ᑖttana-u=-x(ᑣcos2ay7.2ᑖk%z4BCD-&B1GD1{,P,Q,Rᑖ}mQD
(Ḅ{.P,QRḄ☢dmA.B.!C.D.8.2ᑖᔣfḄᜳ'=|(ᑣᔣ'2d-ᜳmA-1B-5C-?D.9.2ᑖᵫ8$x+2y-7=02Pᙊ2+y2-2x+4y+2=0Ḅᩩᑗ$(ᑗ'A,ᑣ|PA|Ḅᨬ'A.2V3B.V17C.2V5D.27710.2ᑖta=Zn3,b=lg5,c-log>,U12A.a>b>cB.b>c>aC.c>b>aD.a>c>bIL2ᑖABC-A^CIḄ6T⚔ᐰ¢ᙠᳫ஺Ḅ⊤☢2(AB=AC,BAC=120°,ABC-A^CiḄ¦☢§'8+4V3,ᑣᳫ0⊤☢§ḄᨬmA.47tB.16nC.¨D.¨12.2ᑖ©ᱥ$E:/=2pyp>0ḄᯖF¬Pᩩ®ᚖ8Ḅ°AB,CD,P'©ᱥ$2Ḅ±(QL2,tᔣ+ᔣ=a(ᑣ\PF\+\PQ\ḄᨬmA.1B.2C.3D.4▅ᔁ-----------------$ஹ%&⚪ᐳ4⚪ᐳ4ᑖ!ᑖ%-y>o13.1ᑖ"x,y³´µ¶ᩩ·¸+'-240,ᑣz=3x—4yḄᨬ'________.y>oO614.1ᑖᙠQ_1ḄBº»{(¼ᦪ⚗m.ᵨᦪ¿¬À15.1ᑖÁ0ᦪÂ=25Ã3%-93>0ḄdÄᑖ}ᔣuஹᔣ)ᔜÇÈTᓫEVÊ(ᡠËḄPT0ᦪdḄÌÍÎᔠ(ᑣ3Ḅᨬ'16.1ᑖ44BCḄᑁA,B,CḄᑖ}ma,b,c,a2+*-c2.acosB+bcosA

2abc,"a+b=2,ᑣcḄÓÕ'▅ᔁᐭஹ()⚪ᐳ7⚪ᐳ70ᑖ!ᑖ17.10ᑖÙÚÛm✌⚗'1Ḅy\ᦪᑡ(ᦪᑡÙ%Û³´Ý=Þ(9%,3a2,&3ᡂyâᦪᑡ.15ᑖäÙ4ÛMÙ%ÛḄæ⚗ç»625ᑖäᦪᑡÙ%ÛḄ?n⚗M18.10ᑖ'^⌱ëìíᨵïNðñÎᜧᡊᶍ◤äõᔠö÷øùᡈûẠýþëÿḄ
ᦟᦋ☩ᑜ.᪀
᪥

Ḅ!"#$%ᙠ'(ᦪ
*ᱥᳮḄᑜ
Ḅ
᪀-Ẇ/ὃᱥᳮᡂ23ᦪ
ᡂ245Ḅᐵ789ὃ:;<=11?ὃḄᦪ@A᝞C⊤Eᦪ
ᡂ2X4665798999109116120123134140ᱥᳮᡂ2y505460636668700737680ᵱ+᝕+05483606307608▬E'ὃRSETUᦪ@V%X%Y,V[\2Y…xn'%Yᐸ`abcd=+&Ḅh᳛*jkḄᨬmnopᑖr-Eb=~^n-------1W'a=y-bx>(—)2Li=ixi-nxl£=l'ὃᦪ@EVᒆ◀~ᑖY11iiiiii%*25868326i=li=l1=11=11120660685861227260.31⊤Ḅ஽⊤᪵i?ὃḄᦪ
ᡂ2ᓃ⊤᪵i?ὃḄᱥᳮᡂ2.V1YV5ᑖYᵫ⊤ᦪ@ᨵὃᱥᳮὃᦪ@ᒆ◀Uᦪ@ὃᱥᳮᡂ2y3ᦪ
ᡂ2S45ᐹᨵcឋᐵᐵ7᪷@10Uᦪ@yᐵTxḄ`abc¡pὃὃ᝞¢'(ᱥᳮὃ:£=¤Ḅᡂ2¥V2YV5ᑖYᙠ9ᱥᳮḄ¦:ᒆ◀ὃὃḄᱥᳮᡂ2ᒕ¨10?
ᱥᳮ

3ᡂ2ḄAᦪ@᝞©ª«ᡠ.8<=3?
'(
᪥U®ḄᐵTᑜḄ¯°$%±<ᑮ¯°$%Ḅ³᝕
ḄµᦪX?¶;·¸XḄᑖ¹ᑡ*ᦪ
»¼.19.10ᑖY᝞«ᙠ½¾┵P—2BCDÀ☢4BC0³ÂÃPAJ■Å☢ABC஺AF1PB,F-ᚖÈ.1
5ᑖYÉÊEᙠcËBCÌÍÎᑨÐÑ4EF³ᔲ-bÓÔÓáÕÖᳮᵫ¥V2
5ᑖY×PA=4B=2,EF||PC,ØPB3Å☢P/EᡠᡂÓ-30஺¶n☢ÓC-PE—DḄᜧm.20.10ᑖYÚÛᙊEEᔜ/=la>b>0
Ḅᯖk-2c,àஹâᯖÊᑖr³ãäF,ᐸåæ᳛2-çᙊèEx+c
?+y2=13ᙊ%EVè-c
2+y2=9éêᙊéÊᙠÛᙊE.V1YV5ᑖY¶ÛᙊEḄ¥2
5ᑖYëbc1ìíîP0,1
ÊØ3ÛᙊEéTA,BêÊ×bcPA3bcPBḄh᳛4*--2,ïÖEbc/îðÊ.21.10ᑖYÚñᦪ/V%Y=e"siTUE.1
5ᑖY¶ñᦪfx
Ḅᓫ$⌴ôõ5E2
5ᑖYÉè>0Î/%
>e%söè-1
+/+ᓝ01ឤᡂ¶ùᦪ஺Ḅ=úü.22.10ᑖYᙠÅ☢bÓᙶ᪗7xOyÿCḄᦪᦪ஺ᓝzLsiiicc᩽Ḅ᩽᩽ᙶ᪗/Ḅ᩽ᙶ᪗pcose-*
=3.1
5ᑖ!CḄ"#$/Ḅ%ᙶ᪗;

425ᑖ)PḄ᩽ᙶ᪗3,ᑖ-!C/04,B3||P4|-|PB||Ḅ6.23.10ᑖ:;<ᦪ/x=|%+a|+|x-b|.15ᑖC°=1,b=2E,/%ḄᨬG6;25ᑖ)a,bᙳIᦪJ/%ḄᨬG65,KL1+

5)ᫀ(᪆/ᑖ1.ூNᫀ௃BூQ᪆௃ூQN௃4={%|%2—4%W0}={x|0WxW4},C71€NE2n—12—1,ᡠ\ᔠB={%|%=271—1,nCN}^G0-1Ḅ᜻ᦪ`ᔠḄ\ᔠabAdB=[1,3}.ᦑNᫀLB.ூᑖ᪆௃Qd\ᔠA,ᑭᵨ/\Ḅhijk\ᔠACB.2.ூNᫀ௃BூQ᪆௃ூQN௃lᦪz=n=(p▢ᓃ?=—2-i,1~11J,0I11ᓝI)ᡠzḄᐳvlᦪ2=-2+i,ᡠᙠlx☢ᑁzḄᐳ{lᦪ|}Ḅ~0▲.ᦑNᫀLBூᑖ᪆௃ᵫlᦪᦪḄ◀ᓄlᦪz,ᐸᐳvlᦪᓽjdNᫀ.3.ூNᫀ௃C72ூQ᪆௃ூQN௃!Ḅ—ᔜ=1ᑣ⚔AḄᙶ᪗ீ2,0),᪷!Ḅ|ឋ^6x+y=0,ᦑ⚔AᑮḄ£¤¥=¦ᦑNᫀLCூᑖ᪆௃d!Ḅ⚔AḄᙶ᪗ᯠ¨Qd⚔AᑮḄ£¤.4.ூNᫀ௃AூQ᪆௃ூQN௃ᵫ⚪j;/(ª=/(-ln2)=-/(ln2)=-(eln2+1)=-3.ᦑNᫀLA.ூᑖ᪆௃ᵫ᜻<ᦪḄឋjk/Si=-f(ln2),᪷:;⊤±jk/(ln2),²³jkNᫀ.

65.ூNᫀ௃DூQ᪆௃ூQN௃´µ¶·¸¹Ḅºᦈᐭa,ᑣµ¶·¸¹Ḅºᦈᐭ2a,½¸¹Ḅºᦈᐭ4a.|0A⌱⚗µ¶·½¸¹ºᦈᐭÀ¸¹ºᦈᐭḄ4ÁA^Âᔠ⚪ÃÄ|0B⌱⚗µ¶·¸¹ஹ½¸¹ḄᓄᝢÇᦈᐭᑖÈÉஹ᦮ᦑµ¶·¸¹ᓄᝢÇᦈᐭÀ½¸¹ᓄᝢÇᦈᐭḄJ,B^Âᔠ⚪ÃÄ|0C⌱⚗µ¶·¸¹ᓄᝢÇᦈᐭÀᔁᦑµ¶·¸¹ᓄᝢÇᦈᐭÀ½¸¹ᓄᝢÇᦈᐭḄÌC^Âᔠ⚪ÃÄ|0D⌱⚗µ¶·¸¹ஹ¸¹ஹ½¸¹ḄÍÎᦈᐭᑖÈÀaஹfa,Ïa,••••aÐa+|a,ᦑµ¶·½¸¹ÍÎᦈᐭÑ0Ò3Ó¸¹ḄÍÎᦈᐭÔ$D|.ᦑNᫀLD.ூᑖ᪆1´µ¶·¸¹Ḅºᦈᐭa,ᑣµ¶·¸¹Ḅºᦈᐭ2a,½¸¹Ḅºᦈᐭ4a,᪷ÕÖ×ØÙÚdᔜ¸¹ÛÇᦈᐭ$ÍÎᦈᐭ⌲⚗ÝÞᑨàjkNᫀ.6.ூNᫀ௃AூQ᪆௃ூQN௃:;tar(a—á=LQktana=J,cos2a=cos2q—sin2aT,JLᓝtana3"ã=äåæçᑗ6ᐭkᑮécos,a+siMa1+taMa3ᦑNᫀA.ூᑖ᪆௃ᵫ:;ᑭᵨ3%êḄᑗ<ᦪëdtana,ᑭᵨì%½%<ᦪíîᐵÁ%ḄðñëᓽjQdNᫀ.7.ூNᫀ௃DூQ᪆௃ூQN௃᝞×ᡠó´ôõö2a,BCØF,÷öPRஹDA/0E,ᑣAE=a,øEF/AB-G,ᑣGABØ÷öGFஹDC/0H,ᑣCH=a,øHQ/CC௃-I,ᑣIÀCQØ,

7ᵫbkᑮpù☢PRGFIQÿ
.ᦑᫀD.ூᑖ᪆௃
ᔜḄᑣP,Q,R!Ḅ"☢
.8.ூᫀ௃Aூ&᪆௃ூ&௃•
()*+Ḅᜳ-./0=23ᔣ•.a2=d2+b2-2a-b=a2+b2-2\a\•|h|cos60°,


ᔣ==1•••COSB3b:஺G3W—J2_M+—21N2TP23Q\a\-\2a-b\P.₹STUV14|X232|2+Z229,(25—b)>G[0>ᐔ].()cd2”fᜳ-gᦑᫀA.ூᑖ᪆௃ᵫᔣ)*EḄᜳ-᜼/|X=k-mno☢=ᔣ,p᪷rᔣ)Ḅᜳ-stnoᔣ)cd2d-BḄᜳ-.9.ூᫀ௃Bூ&᪆௃ூ&௃ᵫw2+)/232%+4{+2=0|ᙊḄ᪗c(—1)2+0+2)2=3,ᙊ

811-2x2-7|oᓈC,ᦑC(l,-2),ᵫᑗឋ||PZ|2=|PC33|PC|ḄᨬB3I--j=275,ᦑḄ11+2ᨬBVT7,ᦑᫀB.ூᑖ᪆௃᪷r⚪ᙊḄ3c
᪗cᓽ|ᙊᙶ᪗dᵫdᙊᑗḄឋ|=|PC33,ᑖ᪆||PC||ᨬB|PA||ᨬBᵫ|ᫀ.10.ூᫀ௃Dூ&᪆௃ூ&௃a=ln3>Ine=1,b=lg5b,a>c,.._l09^_l0925z-_l0926-l0926,ig_Tog^lO~l+log5'1ln0agl2b3_l+log6'22᪀⌼¡ᦪ/(x)=£=13¤஺>0),¥ᯠ¡ᦪ/(%)ᙠ(0,+8)¨ᓫª⌴¬•••0c>b,ᦑᫀD.ூᑖ᪆௃ᵫ®ᦪ¡ᦪḄᓫªឋ|a>b,a>c,᪀⌼¡ᦪ/(%)=¯=1—4(w>0),᪷r¡ᦪ/(%)ᙠ(0,+8)¨ᓫªឋ°ᔠ®ᦪḄ²³ឋ´µᜧ|ᫀ.11.ூᫀ௃Bூ&᪆௃ூ&௃!·¸ABC-4⍗º1Ḅ»h,AB=AC=a.¼Z.BAC=120°,ᡠBC=V3aᑣ¾!·¸Ḅ¿☢À(2+V3)a/i=8+4V3,ᦑah=4.MBCḄ᜜ᙊr,Âijr=…=a.2sinZ.BAC222ᳫ0ḄR,ᑣR2=r2+(^)=2/Ll|^_>4(Ä/ÅÄÆ=2ÇÈÉa+=+ᡂË)ᦑᳫ஺Ḅ⊤☢À4TIR2>167r.

9ᦑᫀBூᑖ᪆௃!·¸ABC-Ḅ»h,AB=AC=a,ᵫ/BAC=120஺|BC=8a,᪷r!·¸Ḅ¿☢Àstnoa/i=4,A4BCḄ᜜ᙊr,ᵫr=௄/@ᩚ=aᳫ0ḄR,ᑣR2=r2+g)2,᪷rÍÎÏÈtnoᳫ0⊤☢ÀḄᨬB஺12.ூᫀ௃Cூ&᪆௃ூ&௃᪷r⚪ÐÑᱥḄᯖ(0,Ô)ᑣABḄÕ᳛×ᙠ/Ï0,ABḄcy=kx+§Øᐭx2=2py|x2—2pkx—p2=0.ᵫ᪷dÚᦪḄᐵÚ|x+x=2pk,xx=-p?,ABABᡠ=2p(l+l).CDḄcy=-l%1,Zᳮ|CD|=2p(l+*),+1,1__1.1__1__1ᡠÝᓝß=2P(l+à2P(1+d=á=4Kᡠ2P=4.ᦑ/=4y.pâPMᚖäMᚖåᑣᵫÑᱥḄæ|\PF\=\PM\.ᡠ\PF\+\PQ\=\PM\+\PQ\>\MQ\=3,ÄQ,P,M!ᐳÈÉᡂË.ᦑᫀC.ூᑖ᪆௃ABḄcy=kx4-1,Øᐭx2=2py|x2-2pkx-p2=0,ᵫ᪷dÚᦪḄᐵÚ|“I+%B=2pk,xx=-p2,èé|ᑮ\AB\=2p(l+k2),Zᳮ|\CD\=AB2P(1+/)pᑭᵨ»+ᓭ=/n|pḄBÄQ,p,M!ᐳᓽ|ᫀ.13.ூᫀ௃-1ூ&᪆௃ூ&௃&ᵫz=3x—4y,|y=—3âoÏÈt®îḄQï(▢ñòᑖ)

10óôy=3—3ᵫóôÐÄy=ö/÷B(l,1)y=*x-3Ḅ"úᨬᜧz|ᨬBBḄᙶ᪗Øᐭz=3%—4y=3—4=—1,ᓽü᪗¡ᦪz=3%—4yḄᨬB-1.ᦑᫀ/.ூᑖ᪆௃ᵫýþᩩ
ᓄ᪗ᦪḄᦪᔠᑮᨬᨬḄᙶ᪗ᐭ᪗ᦪ!ᫀ.14.ூ!ᫀ௃-160C6ூ᪆௃ூ!௃(-|)Ḅ23Ḅ4⚗6X7\+1=(;=(-2),C&6-2r,1=0,7,…6,2A6-2r=0,r=3,ᦑCᦪ⚗(;2DE=-160oᦑ!ᫀG-160஺ூᑖ᪆௃ᑭᵨLMᩩᔠO⚗PᳮR23Ḅ4⚗6Sᑭᵨ4⚗6R23TḄCᦪ⚗ḄU஺15.ூ!ᫀ௃6ூ᪆௃ூ!௃GWᦪy=2sZ[0)Ḅ\]ᑖ^ᔣ`ஹᔣbᔜdeᔜfᓫhij

11klmJy=2sin[co(x+;t௃=2sin((z)x+;t)y—2sin[co(x—y^)-]=2sin(cox—~~z{fᦪ\]Ḅ|}~ᔠ,ulஹ/Q7T7Tஹ/OLTTTCஹCOTT>._ᡠE;W—-1^-W=~6~=IᑍkEZ,ᡠE3=6k,kCZ,z3>0,ᡠEk=l3ᨬU6.ᦑ!ᫀG6.ூᑖ᪆௃ᵫᦪḄ\]deᑮdekḄ{fᦪḄ᪆Sᵫ{ᦪḄ|}~ᔠᑮ!;——!;==kᐔkez,ᵫRaḄᨬU.JLNi஺JLDO16.ூ!ᫀ௃1,2ூ᪆௃ூ!௃ABCT+b2-c2-acosF+bcosAL=abc,ᵫ¤¥PᳮG2abcosC^acosB4-bcosAL=abc,/.2cosCsin>lcosB+sinBcos/=sinC,A2cosCsinCA+BL=sinC,2cosCsinC=sinC,VsinC0,AcosC=§•"€,ᐔAC=8=;4
•
ᵫabccsin¬-A¥Pᳮ®=¯°¯=±§
..Q+b=2,
••G◤■+—◤"■-=2,᦮ᳮGc=32TTsin4+sE-4=%n&cosA=sinfFe஺¹ᐔº»GsinA+lLG½1¾"=sin/+VCh2'ᦑ!ᫀÁ2.ூᑖ᪆௃ᵫ¤¥PᳮᦪឤÃᣚḄÅᵨᓄÆLM2coscsinC=sinC,ᔠsinC஺0,RcosC=ÇᔠÉceo,ᐔRC=g,8=Ë;4ᵫ¥PᳮÌLM;Í+csin¹;41ߟ/--=2,ᑭᵨᦪឤÃᣚḄÅᵨ᦮ᳮc=ÏÐtᔠÉ4+ÑIT6ᑭᵨ¥ᦪḄឋÓRcḄUÉ.17.ூ!ᫀ௃1G


9஺1302ḄᡂÖᦪᑡ6஺2=9஺¾+஺3

12•••ØÙÚ✌⚗1ḄÜᦪᑡÝᐸ6Üq,ᑣ6q=9+q?,M.q=3,-djq71-1=3n-1TlG-n=n-3n_2.(nG/V*)3(2)Gᵫ(1)Man=3nT,b=n-3n~2,nTn=1x3-1+2x3°+3x31+4x32+-(n-1)-3n-3+n-3nçজ37^=1x3°+2x31+3x32+4x33+-(n-1)-3n-2+n-3௃ঝজ-ঝ-2T=1x3-1+1x3°+1x32+1x33+…+1x3n-2-n-3n-1,n31I-3.■-2T=-~~Q_.3ᡠ௃n5n1—311-27^=—+2-n-1H1•1,Tn=ì|2+2-4,3"T஺nGN*Lூ᪆௃ூᑖ᪆௃1᪷îÖT⚗ḄÅᵨ6a2=9al+a,ᑭᵨÜᦪᑡḄ4⚗6R6Ü3ï¯Rᓽᐭb,”ᓽRò3ÇḄ4⚗6;2ᔠ1b„Ḅ4⚗6ᑭᵨ┯hö÷RøùúÍᓽᦪᑡò%ÇḄûn⚗ø18.ூ!ᫀ௃1GÝ᪷îᒆ◀kᦪîþÿḄyᐵxḄ=+a,b11ᒆ◀ᦪḄᦪᙳᑖ_1ioy2=)T20_1120-120x~$%vi=l%i=100,1010211ᒆ◀ᦪḄᱥᳮᙳᑖ/=0ᓃ=“⍝-஺660-0=66'101010fillZ%?=>x?-1202=122726-14400=108326,i=l-i=l68586-10x66x1002586ᡠ@b108326-10X10028326«0.31,a=66-0.31x100=35,ᡠ@ᡠFG=0.31%+35,HᱥᳮIὃὃKḄᦪᡂM120,ᡠ@NOᐸQRSTḄᱥᳮᡂM=0.31X1204-35=72.2U2VWXXᡠᨵQRSZX0,1,2,3“30rP(X=0)==C10

13cl-cl1P(X=D=-^=2L10y__^<4-3Pp((X-2)——3--io-L1OᦑXḄᑖcᑡ:X01231131P621030ᡠ@XḄᦪfgXE(X)=0x1+lx1+2x^+3x^=|ூW᪆௃ூᑖ᪆௃(1)᪷mnᩩpGqᔠᨬtuvwxឋḄz{GᓽQFWឋG}x=120~ᐭ{ḄឋGᓽQFWq(2)ᵫ⚪QTGXᡠᨵQRSZX0,1,2,3,ᑖFḄᭆ᳛GᓽQTXḄᑖcᑡGqᔠfgz{GᓽQFWᦪfg.19.ூᫀ௃(1)WXZkAE.•••PA☢ABC஺GPA1BC,H☢/BCD¡GAB1BC,¢P4CIAB=A,BC☢PAB,HAFu☢P4B,:.BC1AF,X---AFLPB,¢PBClBC=B,•••AF_L☢PBC,VEFu☢PBC,M.AF1EF,ᓽ%4FE=90°,

§¨EᙠªBC«¬G.(2)WX®P4=AB=2,ᑣPBḄ¨G®E/7/BC,ᡠ@¨EBCḄ¨.PA_L☢ABC஺G¢☢°BCD¡G

14ᡠ@±²᝞´ᡠµ¶·ᙶ᪗º,»BE=a,ᑣBC=2a,ᡠ@4(0,0,0),B(0,2,0),P(0,0,2),E(a,2,0),D(2a,0,0),C(2a,2,0),F(0,1,1)ᑣ¼=(0,2,-2),PE=(a,2,-2),AP=(0,0,2),»☢R4EḄwᔣ¾¿=(&,zo),ᑣᵫÁÂÃÄGᓽÅ2zo=°K|Jlax+2y-2zo=O'ooÆÇ=1,ᑣ/)=—ÈGZo=0,ᡠ@É=(1,ÊÈG0)Ë⚪TPBÌ☢PAEᡠᡂ30஺G,——►I-aI_1.ᡠX὚I/QÂI",WT"2,ᡠ@GE(2,2,0),D(4,0,0),C(4,2,0)ᑣÍ=(4,2,-2),PE=(2,2,-2),¼=(4,0,-2)G»☢PDEḄwᔣ¾Î=(⊈G§Gzi),ᵫÐ9=0ᓽ14ÑÊ2=0ᵪ஺.ὡ=0Ô2/+2y1—2zi=0'ÆÕ=1,ᑣyi=l,zi=2,ᡠ@ᐗ=(1,1,2),ᵫ(1)n☢PCE,ᓽ×=(0,1,1)☢PCEḄÊØwᔣ¾,

15ᑣcosಘÜ)=Ýᐁ=£ᔍ=¶,ᵫ´Qᑨâu☢C-PE-஺┦ᡠ@u☢C-PE-஺Ḅᜧt30°.ூW᪆௃ூᑖ᪆௃(1)ᵫ⚪qᔠåæᐵºçT☢ᚖGᓽQéêA4E(2)ᵫmnçTP4_L☢4BCD,¢☢4BCD¡G±²¶·ᙶ᪗ºGF☢PDEḄwᔣ¾x☢PCEḄÊØwᔣ¾Gᑭᵨᔣ¾wFu☢C-PE-஺Ḅᜧt.20.ூᫀ௃(1)WXᵫ⚪Te=£=ᘊGa2ᵫᙊ/XQ+c)2+y2=1Ìᙊ&XQ-c)2+y2=9ñòGóᙊò¨ᙠôᙊE,QnX2a=1+3,Xa2=Zl2+c2>WTXa=2,b=1,c-V3ᡠ@ôᙊEḄXᔁ+y2=i.(2)çêXজ§4BḄø᳛ùúᙠG»ZX%=ᵫ⚪QntH0,¢|t|<2,B(t,®PA,PBḄø᳛Äx-2,ᡠ@ᓄþTt=1,ᡠ@/Ḅÿ=1.ঝ4BḄ᳛ᙠ,ABy=kx+m(m1),A(x%),F(x»y-i]'lt2(X22_1ὶ%]'+y—1)*y,ᓄ,-(4.+1)/+8km1+4zn2—4=o.[y=kx+m8km4?n2—4%i4-%2=-----5——8XiX?4/+14k2+l)ᵫ⚪<=-4=16(41-m2+1)>0,APA,PBḄ᳛CDE2,ᡠGH+I=E2,X1x2k%l+zn—lK2+6-1_9X1x2.2/cxx+(m-l)(x+x)_••----1--2----------1---2-=E9ஹX/2

16A(2k+2)%1O+(m—l)(%i+x2)=°
•
(2k+2).ᔩ-4(_i).=(v1),+m04d+l4Q+lᓄ,᦮ᳮ-k=—m—1,TU/=16[4(m+I)2—m2+1]=16(3m2+8m+5)>0ᓽm<-|ᡈm>—1Tm஺1Yᔠ⚪<,[ABḄ\y-(-m—l)x+m,ᓽy4-1=(-m—1)(%-1),ᦑ2^_`(1,-1),abজঝ=-l^_`(1,-1).ூe᪆௃ூᑖ᪆௃(l)ᵫiᙊk`ᙠlᙊEb82a=1+3,mᔠno᳛pa2=b2+c2,ᓽ=qer(2)জ᧕qABḄ᳛tᙠ,ḄX=1,ঝABḄ᳛ᙠ8ABy=kx+H1),X(x,y),B(x0>HPsin(x+))>0,e-2ᐔ—^088ᵫ-%>0;exsinx>ex(^sinx—1)-I-%2+a2—a—1ᓽ-Q—1va—/ឤᡂ%,g(x)=e%—%e(0,+oo),••
9'(x)=e*-2%,(%)=e%-2,/i(%)=-2ᵫ//(%)>0-%>)2,

.g<%)ᙠ(0,2)ᓫ⌴8ᙠ("2,+8)ᓫ⌴8

17.•.x="28dXx)=eln-2"2=2(1—2)>0,min•••g'O)>o[g(x)ᙠ(0,+8)ᦪ8g(K)>g(0)=1,[a?-a—141,e-—14a42,
•.aḄE1,2ூe᪆௃ூᑖ᪆௃(1)✌ᐜq£f(x),ᯠ¥ᑖ¦q£f(x)>0xḄ8ᓽ=q£ᦪ/(%)Ḅᓫ⌴r(2)§^ᑖn¨©8-ᑮa?—a-1o,G<0T}Ç=1Ç8\PB\=|t|>2\\PA\-\PB\\=11^1-|t||=|tj+t|=V222

18ூe᪆௃ூᑖ᪆௃প)*³ᦪÉq£²CḄ˧8/Ḅ᩽ᙶ᪗Ìᓄpcose+psine=3,ᵫÍÉq£Ḅ¼ᙶ᪗;(2)ᑏ£IḄ³ᦪ(t³ᦪ),xᐭ²CḄ-t2+V2t-3=0,ᑭᵨy=3+-2-tÓÔ_ᳮq£||P*-|PB||Ḅ.23.ூᫀ௃(1)e\×

19⚪ᑖ᪆/ᑖ1ஹᔁ34ᑖ5ᑖ᪆úᑖ\98ᑖüý⚪þᓰ
27.0(27.6%)ᑖᑖû⚪ᓰ
71.0(72.4%)⚪ᓰ
15(65.2%)⚪ᑖ⚪ᓰ
8(34.8%)2ஹᔁ⚪6ᑖ5ᑖ᪆ᜧ⚪⚪⚪ᓰ
ᑖᓰ
⚪4(17.4%)4.0(4.1%)⚪7(30.4%)70.0(71.4%)ᓫ⌱⚪12(52.2%)24.0(24.5%)3ஹᔁ789᪀ᑖ᪆᧕ᓰ1(87.0%)2᧕(8.7%)3(4.3%)4ஹᔁ;<=ᑖ᪆!"#
ᑖᓰ
$%⚪1⚣᳛ᑖ()*2.0(2.0%)5

202,ᦪḄ/010.0(10.2%)2231⚗34ᳮḄ%ᵨ1.0(1.0%)144(78ᙊḄ:;ᐵ=2.0(2.0%)95ᑭᵨ?ᦪ@ABCDEᦪḄᨬ10.0(10.2%)216GᦪᑡḄ⚗I310.0(10.2%)177GJᦪᑡḄឋL10.0(10.2%)178(78ᙊ┵N7ḄOᔠQ⚪10.0(10.2%)20Rᐗ1T)UḄVWᐸ᪷8=ᦪ92.0(2.0%)12Ḅᐵ=10ZN7Ḅ[ᓫឋL2.0(2.0%)311\]^]EᦪCḄ_`ᐵ=2.0(2.0%)612ᦪᑡḄ@a10.0(10.2%)1713bc4ᳮ1.0(1.0%)1614dᦪeᦪf3Ḅg◀ij2.0(2.0%)215[ᓫ7ឋkᑜ1.0(1.0%)1316mᱥ7Ḅ402.0(2.0%)1217ᵨCᔣ@(78#☢Ḅᜳ]10.0(10.2%)1918^ᐳ72.0(2.0%)12

2119stḄu᪀ᱯx2.0(2.0%)720^]EᦪḄᕜzឋWᐸ@{1.0(1.0%)1521_`|G312.0(12.2%)11,2322}c4ᳮ1.0(1.0%)1623~ᦣWᐸᑖᑡ10.0(10.2%)1824dᦪḄeᦪ⊤{Wᐸ/02.0(2.0%)2257ឋ)U10.0(10.2%)1826*10.0(10.2%)1827Eᦪ᜻ᏔឋḄឋL2.0(2.0%)4281]Ḅ}cI32.0(2.0%)629Eᦪy:Asin(u)x+(p)Ḅ*ᣚ1.0(1.0%)1530$|G3Ḅ{10.0(10.2%)2331(78#☢ᚖ(Ḅᑨ410.0(10.2%)1932ᦪ⊤ᔣḄᜳ]2.0(2.0%)8stஹs┵ஹsḄ☢a⊤☢332.0(2.0%)1134$ᦪEᦪḄᓫឋ8ᱯ2.0(2.0%)1035ᙊḄ4010.0(10.2%)20

2236ᑭᵨ?ᦪẆEᦪḄᓫឋ10.0(10.2%)2137>?@ᐸBC2.0(2.0%)138ᙊḄ᪗¡)U10.0(10.2%)2039,ᦪ)Uᓄᡂ)U10.0(10.2%)2240]a8JḄbᑗI32.0(2.0%)641ᳫḄ¦a⊤☢2.0(2.0%)1142ᣚ§I3Ḅ%ᵨ2.0(2.0%)1043~ᦣḄz¨8)J10.0(10.2%)18