2021-2022学年安徽省亳州高二（下）开年考数学试卷（附答案详解）

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2021-2022
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7,⚪⌕ὃ/0bchᙊ┵cḄᔠ⚪.⌕34ᨵᙢᓄᦪ3Ḅ5ᵨ78%7ᩩᓄᑮ;,Ḅ5ᵨ.11.ூ>ᫀ௃Aூ᪆௃ᵫᱥc:y2=4x,ᯖBF(1,O).ᙊḄ᪗¦§(x—l)2+y2=i,ᡠᙊC(1,0)%®¯r=l.±PQi%yi)%´2(µ8)%±bc/x=my+l,bc/¶ᐭᱥc§*y2-4my-4=0,ᓽy%2=-4%/»2=¼ஹ=1¾1Oᦑ|PM|•|QN|=(|PF|-1)(|QF|-1)=xx=1.t2ᦑ⌱A.ᱥcḄᯖBᙶ᪗,ᑮᙊḄ§%±P(xiJi)%´2(%2%ஹ2)%±bcIx=my+2,bc/¶ᐭᱥc§*y2-4my-4=0,ᑭᵨÄÅ#ᳮ%ÆᔠᱥcḄឋ_,ᓄᓽ*.,⚪ὃ/ᱥcḄ\ᓫឋ_Ḅ1ᵨ%bchᱥcḄÇÈᐵḄ1ᵨ%`᫏⚪.12.ூ>ᫀ௃Bூ᪆௃ᙠbÊËÌ%AB=BC=BB'=2,AB1BC,Bᙶ᪗ÎB%2CxW%BAyW%BB'zW%ÑÒÓÔbÕᙶ᪗%஺ABḄB%BEᙠc×C'஺L%BDᙠc×BB'L%D(0,1,0),C'(2,0,2),B(0,0,0),B'(0,0,2),'CD=(-2,1,-2),Ù=(0,0,2),Ú=(0,1,0),±Û☢bcC'஺ஹBB'ḄᐳÞᔣàᐗ=(»,y,z),ᑣâ.Ó=-2x+y—2z=0,ãᐗ=(1,2,0),In-BB'=2z=0•••c×E/æḄᨬkYÛ☢bcC'஺ஹBB'ÔḄè\jD-n\22V5ᦑ⌱B.ë8⚓%ᐳ14⚓

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⚪ὃ᣸ᑡ8ᔠḄEᔠF⚪ᐜ⌱:᣸Hᨬ
ḄᢣKLMẠ⚪.15.ூᫀ௃12ூ᪆௃NOP1-<=1ḄSᯖU(3,0),63ᡠYZᱥPy2=mxḄᯖU(3,0),_`a=3,`b=12.ᦑᫀ12.cBNOPḄSᯖUᙶ᪗`ᑮZᱥPḄᯖUᙶ᪗ᓽ_c஻Ḅh.
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03w12,x3
N1z,137!,421_+梃--一1解得2a612018一+於-一I9核2a42a8-,,1/=4,᫜ᙊEḄ=1841k3Ꮇᙠᙊᙠ?!Ḅᙊ
ᙊḄ5ᩩᑗSlᙊEឤᨵ7!A,B,ny=+m{%2y2_,2+2(kx+m)2=8,—I—=184ᓽ(1+2k2)x2+4kmx+2m2-8=0,ᑣ¤=16k2m2-4(1+2k2)(201?-8)=8(8/-m2+4)>0,ᓽ8/c2-m2+4>0,(4kmX1+X2=~TT2^2m2-8X-iXo="3ci஺2l1z1+2ky/2=(kxi+m)(fcx+m)=k2xx+km%+x)+m2="©-17^+m2=2r22m2-8k2l+2k2'⌕ᵨ
M
◤®+¯¯=0,ᓽ[+°±=0,ᡠ<3´2-8k2—8=0,ᡠ<¶2=·ᵨ20,¸8k2—62+4>0,,fm2>2

13m2>8
•.m2>I
ᓽm>»ᡈ?n<—[
•,;Sy=kx+niᙊᙠ?!ḄᙊḄᩩᑗS,m2_/_8276ᙊḄ¾¿ÀÁr21+fc2-113m2—8ÂᡠJḄᙊ/+y2=|,,ᙊḄᑗSy=kx+ÄÅÆÇm>»ᡈmW-¾,MÉᑗSḄÊ᳛ÌᙠᑗSx=ÍT
lᙊ[+[=1Ḅ7!1Ï,Í»338433

13ᡈ1-Ð
ÍÑ3ÆÇ஺410B,ÒÓ
ᙠᙊᙠ?!Ḅᙊ/+y2=g,ᙊḄ5ᩩᑗSlᙊEឤᨵ7!A,B,Ô_LÕ4km+"2=Ö{2m2-8'X௃X2=E•1×32=%1+%
2-4X=-Ø¥-4x[=◥£Ü"
\AB\=2X12V1X1-%232+171-y
2=V11+fc2
^l-%22=JQ+H3ᑏ:ἠ;;42124k4+5M+1_b2^M]\34k4+4k2+l-13L4+á2+1¶জÉᔁ஺I▢=åæ+çè]VHv4k2+ê+4N8,•°<4/c2+p+4-8?.2V%[1+J]<12,33L4H+++4ë••.|V6<\AB\<2V3,ÉìÉk=ÍÉí"="ঝÉk=஺
|4B|=ïঞÉABḄÊ᳛Ìᙠ
7!1ñ3+?3ᡈ1-ὃ3±-|-
ᡠ<,MB|=ï
ÒÓ
|48|Ḅíó1¯W|4B|<26
ᓽL\AB\G[|V6,2V3]ூ᪆1
k3ᵫlᙊḄô᳛õw!wM
2,x3
N1⍩,1ᑡKøJKa,b,ᵫ,-JKlᙊEḄ.
2Ꮇᙠù᪵Ḅᙊ
ᙊḄᑗSû=+ü
lᙊὶA

1+21/+4kmx+2m2-8=0,ᵫ,ᑭᵨ᪷Ḅᑨ
ஹᳮஹᙊḄឋᔠᩩ|48|Ḅ.⚪ὃᙊḄ!ὃ"#ᩩḄᙊ$ᔲ&ᙠḄᑨ)*+,Ḅ!-⚪.⌕012⚪34᪷Ḅᑨ
ஹᳮஹᙊḄឋஹᙊឋḄᔠᳮ6ᵨ89:⚪.;14⚓ᐳ14⚓