2021-2022学年陕西省西安市周至四中高二（下）期末数学试卷（理科）（附答案详解）

《2021-2022学年陕西省西安市周至四中高二（下）期末数学试卷（理科）（附答案详解）》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。

2021-2022
▷ḕᕜᦪᔁᳮஹᓫ⌱⚪ᜧ⚪ᐳ12⚪ᐳ60.0ᑖ1."#42=132,$ᱥ&'A.14B.13C.12D.112.(2,3,5,7)ᦪ*⌱+)ᑖ,-◀ᑣ0ᑮḄ34ᨵA.6)B.10)C.12)D.16)3.637ὁ9ᦟ6);<=ᦟ2);ᑣᑖ>?ᫀᨵA.90AB.45AC.24AD.18A4.⚗Ca+b2nḄDECḄ⚗ᦪFA.2nB.2n+1C.2n—1D.2(n+l)5.G⚗HḄᡂJ᳛FᜫM᳛Ḅ2NᵨPQRSfTUVHᡂJḄVᦪᑣWX=0&'A.0Di6.Zᨵ12)[\ᳫᐸ9)_Ḅ3)`Ḅ(Za*b3)ᳫᩭᵨᵨdefgZhiZ`ᳫ)ᦪXF)PQRSᐸᑖjᑡlPX,ᑣPX=4ḄmlA—C•D.g*220557.naofᨵ3)pᳫ4)qᳫr5)sᳫᳫ◀t⁐᜜wxᜧy.G=(naPQb{+)ᳫ|}~4="b{Ḅ+)ᳫt⁐"}~B="b{)pᳫ)qᳫ”ᑣPB|A=)A2R3CA•.47-S8.G=Ḅᭆ᳛,63VᔜVᑣᐸាᨵVḄᭆ᳛lA—BgcD*64-£-i9.PQRSf(᝱ᑖjN2,M,P"4=0.84,ᑣP(f<0)=()A.0.16B.0.32C.0.68D.0.8410.ᑡᨵᐵ-ᐵᦪḄḄF

1A.-ᐵᦪᵨᩭ⊝SRS£¤Ḅ¥ឋ-ᐵ§¨B.\r\<1,«|r|®¯°'1,RS£¤Ḅ¥ឋ-ᐵ§¨®C.|r|<1,«|r|®¯°'0,RS£¤Ḅ¥ឋ-ᐵ§¨®´D.|r|>l,«|r|®¯°'1,RS£¤Ḅ¥ឋ-ᐵ§¨®11.ᑡᐵ'¸¹ឋºHḄ┯¼ḄFA.¸¹ឋºH½¾ᭆ᳛¿ᳮB.¸¹ឋºH¿ᳮ0ᑮḄ3ÀÁC.᪵¸¹ឋºHḄ3ÀÃÄᨵÅÆD.¸¹ឋºHFᑨÁ+È}ᱥFᔲ-ᐵḄÊ?12.ÌPQRSXḄᑖjᑡlPx=k=£k=1,234,5,6,ᐸcl×ᦪ$lJPx<2ḄmlஹÙÚ⚪ᜧ⚪ᐳ4⚪ᐳ20.0ᑖ13.Ûᨵ5ÜḄÝÞ2ÜḄßÞ4ÜḄàÞ.(*⌱ÜÞjáâ¤ᨵAḄ⌱ã(äåÝÞஹßÞஹàÞᔜ⌱Üjáâ¤ᨵAḄ⌱.14.GAæçḄèéêë{xì├îïy£¤ᨵ᝞⊤óôᦪ¾ᓫõö÷øᐗ.X24568y304060t70᪷¾ý⊤þÿḄᦪyᐵḄឋy=6.5x+17.5,ᑣ⊤tḄ.15.!"#$%&ᑣ᝞()ᙠ+,⚜.Ḅ5/0⚪⌱3456789:;/0⚪ᓽ=>:⚪?@(AB.Ꮇ.⌱389:D/0⚪Ḅᭆ᳛GH0.8,KD/0⚪Ḅ:LMNOPQᑣR⌱3ាT:U4/0⚪W?@(ABḄᭆ᳛X.16.YZ[Ḅ\]Hᢣ)_`Jbஹdefஹghijஹ☢ljᵬஹnஹoஹp4qr`sᔜ⌱A]uvẆxy"\z⌱{Ḅ]ាTO|NrKᵬ}ᨵ⌱fe,noG}ᨵ⌱ijᑣ4qr`ᡠᨵ5Ḅ⌱ᨵ.ஹ:⚪ᜧ⚪ᐳ4⚪ᐳ40.0ᑖb2⚓ᐳ12⚓

217.ᢇᨵAX100/X80/,X30/.sᐸ{10/uv)(1)ᐰᑮAXḄLMᨵ¡j¢(2)|ᑮAXḄLMᨵ¡j¢(3)ាᑮ5/AXḄLMᨵ¡j¢(4)ាᑮ1/AXஹ2/XḄLMᨵ¡j¢(5)¤jᑮ1/AXḄLMᨵ¡j¢18.s¥ᨵ2¦§ᳫ2¦©ᳫ1¦ªᳫḄ«⌲A{ᳫy"D¦ᳫ{Ḅ5ឋNr.(1)4{®¯°3!.জᑖ²ាᨵ2!{ᑮ§ᳫḄᭆ᳛³ᐰ´⁐ᳫḄᭆ᳛¶ঝᑮ§ᳫḄ!ᦪXḄᙳ.(2)4{®|°º§ᳫᡠ◤!ᦪy,yḄᑖ¼ᑡ³ᙳ.19.4(1-=À+a6+a?/-I---1-axn,Ka?=7.n(I)(1-,Å71ḄÆÇÈ⚗ÈÊᦪᨬᜧḄ⚗¶(II)+2a2+22a3+23a44--F2"-”^Ḅ.20.AÐᶭÒÓẆÔᙢḄAᙢឋÖ×ØÙᙢÚÛḄÜÝÞß(ÜÝÞßᑖàT|áàT;â)ḄᐵÊᙠãäRÖ×Ḅ×åæçèéU100å(ê×åë),rìᙠíäRÖ×ḄzîæçèéU100z(êï᯿ë)ñᑮ᝞(ᦪ)|áàTàT×åë4060ï᯿ë1090(1)5ᔲᨵ99%ḄôõöäRÖ×î÷ØíäRÖ×î÷ḄÜÝÞßᨵøù¢(2)sRᙢḄzî⌱Az4⊤úûü“⌱ᑮḄzÜÝÞß|áàT”B⊤úûü“⌱ᑮḄzäᨵRÖ×”ᯠ
ᚈḄP(B|4)P(8ব◅Ḅ!⚗#ᢣ᪗&'ᢣ᪗(R+,-R=9./21mP(ᵨB)P(38)(ii)ᑭᵨ67ᦪ9&:;PQ4|B),P(Aᵫ)Ḅ@A&Bᑭᵨ(i)ḄCD:;RḄ

3@A.n(ad-bc)2(a+b)(c+d)(a+c)(b+d)P(_K2>k)0.0500.0100.001k3.8416.63510.828E4⚓&ᐳ12⚓

4HᫀJK᪆1.ூHᫀ௃cூK᪆௃K-3=132,-=132=12x11,KTn=12.ᦑ⌱-C.ᑭᵨ᣸ᑡᦪḄAZ[\ᓽ^T;._⚪ὃ7b᣸ᑡᦪḄAZ[\&ὃ7bcᳮefAZef&ghiẠ⚪.2.ூHᫀ௃CூK᪆௃K-k2,3,5,7noᦪpq⌱roᑖtu◀&ᦑᨵx=12y&ᦑ⌱-C.᪷9⚪{&ᵫ᣸ᑡᦪ[\AZ^Tk2,3,5,7noᦪpq⌱roᑖtu◀Ḅ|}._⚪ὃ7᣸ᑡஹᔠḄᵨ&ghiẠ⚪.3.ூHᫀ௃AூK᪆௃ூᑖ᪆௃_⚪ὃ7b᣸ᑡᔠᓫAᦪ⚪&bᙳᑖ⚪&ghiẠ⚪.ᐜ6oᙳᑖ&ᯠᑖ:3ὁᐰ᣸.ூKH௃K-6oᙳᑖᨵ=15yᑖ&oᑖ:ὁᐰ᣸ᐳᨵ15⇼=90yᑖ&ᦑ⌱-A.4.ூHᫀ௃BூK᪆௃K-a+b2n=C[a°b2n+C&ab271T+C/a2b2n-2---1.cc^b஺nnn¦⚗\a+ᓃ¨"Ḅª«\Ḅ⚗ᦪ2ᐔ+1,ᦑ⌱:B.a+b2n=C^a0b2n+C^ab2^1+®“a2b2n-2+…+஺²£^9஺^T⚗ᦪ.n_⚪ὃ7b¦⚗\ª«\&ghiẠ⚪.

55.ூHᫀ௃CூK᪆௃K-ᵫ⚪{µ&=0”⊤¸¹ºᜫ¼&“f=1”⊤¸¹ºᡂ¿.ᑣP(f=1)=2P&=0)ÂP(f=1)+P(f=0)=1,•••%=0)&ᦑ⌱c_⚪ὃ7ḄµÆÇ^eÈÉḄᭆ᳛&ᵫ⚗¹ºḄCDÌᨵᡂ¿Jᜫ¼ry^e&ᦑͺᡂ¿Jͺᜫ¼(ÎÈÉ&ᓽP&=i)+P(f=o)=i,Âᵫ¹ºḄᡂ¿᳛ᜫ¼᳛Ḅ2Ð&ᦑP(f=1)=2PM=0),KÒᓽ^TᑮP(f=0)Ḅ.᝞Dans(^eÈÉ04nB=0),Ö×ØÈÉAÈÉBÙÚ&ᐸÜÝ-ÈÉ4ÈÉBᙠqß!๺páâãä.ÙÚÈÉḄᭆå[\-P(A+B)=PQ4)+P,æâã4U8(èᯠÈÉ&Ö×ØÈÉ4ÈÉBÎ&ᐸÜÝ-ÈÉ4ÈÉBᙠqß!๺pᨵéÌᨵ!Éä.ÈÉḄᭆ᳛[\-P(4+B)=P(A)+P(B)=1.6.ூHᫀ௃CூK᪆௃K-•.
kêëpqì3oᳫᩭᵨ&ᵨïðñêp&òãêpóᳫoᦪX=4,ᓽIöᳫḄoᦪ÷øb!o&•••ì;Ḅ3oᳫpèᨵ!oùᳫ&ᓽì;Ḅ3oᳫè(2oóᳫ1oùᳫ&.P(Y-4ஹ!-27••P(X-4)!ú!û
ᦑ⌱-C.ᵫ⚪{µkêëpqì3oᳫᩭᵨ&ᵨïðñêp&òãêpóᳫoᦪX=4,üýóᳫḄoᦪ÷øb!o&Tᑮì;Ḅ3oᳫpèᨵ!oùᳫ&ᓽì;Ḅ3oᳫè(2oóᳫ1oùᳫ&CᔠÈÉᑏ;ᭆ᳛._⚪ὃ7ÿᦣ
Ḅᑖᑡ⚪⚨Ḅ⚪⚪ḄᐵᳫḄᦪᑮ!ᩭᳫ#ᳫḄᦪ.7.ூ(ᫀ௃Bூ᪆௃,-./0ᨵ33ᳫ45ᳫ#57ᳫᳫ◀9⁐᜜<=ᜧ?@.AB-.CDEFᳫGHI4="DEḄFᳫ9⁐LM”HIB="DE3ᳫ5ᳫ”P6⚓ᐳ12⚓

6ᑣp(a)=i_ᡈ+A+cஹ]ᓃ12bbP(=c=*6(f)=◤="ᦑ⌱,B.ᑭᵨlᦪHImEP(4)=1-op=qrmEP(48)=⛣=,ᵫuᑭᵨᩩICj2ooC^2ᭆ᳛}~mEP(B|A).⚪ὃᭆ᳛ḄmὃlHIᭆ᳛}~ஹᩩIᭆ᳛}~Ạὃᳮஹ~mὃᓄᓄஹᦪC᫏⚪.8.ூ(ᫀ௃Cூ᪆௃,AB¡¢£¤Ḅᭆ᳛¥¦§¨©£¤3ª(ᔜª£¤¬L®)ᑭᵨnª°±²HIា´µokªḄᭆ᳛}~ᑣᐸCាᨵªḄᭆ᳛¥-x(12=]ᦑ⌱,C.ᑭᵨnª°±²HIា´µokªḄᭆ᳛}~¹º}~ᓽ¼⚪½⌕ὃnª°±²¿ÀCា´µokªḄᭆ᳛}~ÁÂẠ⚪.9.ூ(ᫀ௃4ூ᪆௃,•.
XÆÇ᝱ᑖN(242),—2,•••P(f<4)=0.84,>4)=1-0.84=0.16,•••P(f<0)=>4)=1-P(f<4)=0.16,ᦑ⌱,A.᪷ÑXÆÇ᝱ᑖN(2«2),ÓEÔÕᦪÑlÖḄÇ᝱×ØḄlÙÚ஻=2,᪷ÑÇ᝱×ØḄᱯÝᓽ¼ᑮÞß.⚪ὃÇ᝱ᑖàáÇ᝱×ØḄᱯݦ᝞ßãäḄஹ¬LåæḄஹLᑖ½ªḄᏔᯠéêëᵨÞßì#íîÆᡈïðḄÆÇ᝱ᑖ.

710.ூ(ᫀ௃Dூ᪆௃,åᐵñᦪᵨᩭ⊝ìóḄØឋåᐵõᦑAÇö÷mᨵᐵᡠABᑮḄDEFᨵGᓽᑨHDE.ூ.+௃.••
ᑭᵨ12ឋ7ᳮ45;<᪵Ḅ⌱>ᨵᐵᡠABᑮḄDEFᨵGJK8MNOPQRḄ.ᦑ⌱B.12.ூ+ᫀ௃Bூ.᪆௃.TUVWXXḄᑖ[ᑡ]PQ=k)=a(k=1,234,5,6),ᐸfc]hᦪ,WiJ£+£+£+-+-+-=1,7J248163264.BC=q636464ᑣP(xS2)=P(x=1)+P(x=2)=m+v=wᦑ⌱B.ᵫUVWXXḄᑖ[ᑡyHc=9ᵫKFyHP(x<2)Ḅ|.63⚪ὃ"}ᦣUVWXḄᑖ[ᑡ&Ạὃ"y.FN&Ạ⚪.13.ூ+ᫀ௃11408⚓ᐳ12⚓

8ூ.᪆௃.f⌱O[5+2+4=11ஹஹfᔜ⌱O[ᨵ5x2x4=40ᦑ+ᫀ]1140.᪷ᑖᦪ7ᳮᑖᦪ7ᳮᓽ.⚪⌕ὃ"¡ᓫḄᦪ£⚪ᑭᵨᑖ¤¥ᑖ[¦¥7ᳮN.§⚪Ḅᐵ¨N&Ạ⚪.14.ூ+ᫀ௃50,
ᓅ—-24-4+5+6+8ᔆ—30+40+60+(+704cltூ.᪆௃.ᵫ⚪©X=——-——=5,y=-----------------=40+-yᐵxḄªឋ«¬]y=6.5x+17.5,.-.40+1=6.5x5+17.540+^=50-4=10
•
£=50ᦑ+ᫀ]50.᪵f®¯᪷ªឋ«¬ឤ±᪵f®¯ᓽBᑮDE.⚪ὃ"ªឋ«¬Ḅᵨ.⚪Ḅᐵ¨Nᑭᵨªឋ«¬ឤ±᪵f®¯15.ூ+ᫀ௃0.128ூ.᪆௃ூᑖ᪆௃⚪ὃ"²12³´Ḅᭆ᳛Ḅ¦¥·¸ὃ"&ẠḄ¹;Oὃ"¹º»Ḅᑖ᪆£⚪ஹ.§£⚪ḄF᪷⚪©ᑖ᪆B¼½⌱¾ាÀ«+04Á£⚪ÂÃÄÅOÆᑣÇᨵÇᨵÈÁ£⚪«+┯GÊஹËÁ«+QRÌᨵÍÁ£⚪Ḅ«+Dβ12Dᔠ²12³´Ḅᭆ᳛¦¥·¸B+ᫀ.ூ.+௃.᪷⚪©н⌱¾ាÀ«+04Á£⚪ÂÃÄÅOÆ]4¼½⌱¾ាÀ«+04Á£⚪ÂÃÄÅOÆÇᨵÈÁ£⚪«+┯GÊஹËÁ«+QROÁ£⚪Ñ┯ᨵ²12³´Ḅᭆ᳛¦¥·¸

9BP(A)=1x0.2x0.8x0.8=0,128,ᦑ+ᫀ]0.128.¥È᪷⚪©н⌱¾ាÀ«+04Á£⚪ÂÃÄÅOÆ]4¼½⌱¾ាÀ«+04Á£⚪ÂÃÄÅOÆÇᨵÈÁ£⚪«+┯GÊஹËÁ«+QROÁ£⚪Ñ┯ᵫKᑖÒ,OÁ+┯¥(2)åMᑮOæᙠÈæஹÊæf⌱10ÁᓽᨵCᯠ)>¥(3)ាÀåᑮ5ÁOæëᨵ5´NÈæᡈÊæᙠ100ÁOæf⌱5ÁᙠÈæஹÊæf⌱5ÁᓽᨵCí)•C&oå>¥(4)ាåᑮ1ÁOæஹ2ÁÈæëᨵ7ÁNÊæᙠ100ÁOæf⌱1Áᙠ80ÁÈæf⌱2Áᙠ30ÁÊæf⌱7ÁᓽᨵCfo(rîo■A)å>¥,(5)ᙠᡠᨵðæf>10´ᨵ>¥ᐸfØᨵ1´OæḄ>¥ᨵî]ᑣñÛåᑮ1ÁOæḄDÎᨵ-Cª).ூ.᪆௃(1)᪷⚪©ᙠ100ÁOæf⌱10Áᓽᵫáᔠᦪ·¸B+ᫀ(2)᪷⚪©ᙠÈæஹÊæf⌱10Áᓽᵫáᔠᦪ·¸B+ᫀ(3)᪷⚪©ᙠ100ÁOæf⌱5ÁᙠÈæஹÊæf⌱5Áᓽᵫáᔠᦪ·¸B+ᫀ(4)᪷⚪©ᙠ100ÁOæf⌱1Áᙠ80ÁÈæf⌱2Áᙠ30ÁÊæf⌱7Á10⚓ᐳ12⚓

10ᓽᵫáᔠᦪ·¸B+ᫀ(5)᪷⚪©ᐜ”ᙠᡠᨵðæf>10´”Ḅ>¥᣸◀ᐸf“Øᨵ1´Oæ”Ḅ>¥ᑖ᪆B+ᫀ.⚪ὃ"ᑖᦪ7ᳮḄâᵨö©áᔠᦪ·¸Ḅâᵨ%&Ạ⚪.18.ூ+ᫀ௃.(1)å1÷BᑮøᳫḄᭆ᳛]|,BᑮúᳫḄᭆ᳛]|,BᑮûᳫḄᭆ᳛]জᡠAាÀ2÷>ᑮøᳫḄᭆ᳛]2=üx(|)2x|=ᡃåᐰÊþ⁐Ḅᭆ᳛2=x|x§.ᵨ==.DJD11.0ঝᵫ⚪XB(3,|),ᡠE(X)=3x|=g.(2)Ḅ2,3,4,5,P(y=2)p(y=3)=^^=[,p(y=4)=^^i=*P(Y=5)=_2-~5-ᡠyḄᑖᑡ:Y23451132P105105ᡠE(y)=4.ூ᪆1(1)জ3!ា2!#ᳫᨵᡈ'()*᪷,-#ᳫḄᭆ᳛-.ᐰ3'0⁐Ḅᭆ᳛|x|xg,*234ឋ◤78ᐰ᣸ᑡᓽ-.ঝᵫ;<=⚗ᑖ஻B(3,|),?@A-ᦪCDE.(2)FGH)ᑖ᪆I#ᳫᡠ◤!ᦪ)ᑖJAKLMᭆ᳛)ᓽ-ᑖᑡ)᪷,NO-KDE.P⚪ὃRSᦣUVWXYḄᭆ᳛ᑖᑡZᦪCDE)[\Ạ⚪.19.ூ^ᫀ௃a(I)2b=c(-)>=h/=a?/,ja?=7ᡠ[l="7)=7=>(n-8)(n+7)=0,-n=8ᡈn=-7(m)ᦑ(1oᡭqḄrsOt=⚗OuᦪᨬᜧḄ⚗x5⚗)3=C|(-1x)4=^x4!ZZo

11(11)z{=0,a஺=1zx=2,"0—cig+2al+22a2+23a3+24a4+…+2nanᡠa2al+22a2+23a3+24a4+…+2na=-1nᦑa1+2a2+22a3+23a4+…+2n^u=——.nூ᪆௃P⚪⌕ὃR=⚗OᳮḄMᵨ)᪷,⚪)ᑖ᪆ᡠᦪOḄᱯ)=⚗OḄx)ArsOḄuᦪ)ḄAK^ᫀ)\Ạ⚪.(I)ᐜ᪷,✌ᐜᑭᵨ=⚗OḄᱯ⚗-ᑮn,ᯠᑭᵨuᦪḄឋ¡AK=⚗OuᦪᨬᜧḄ⚗.(H)z{=0,Ḅ=1.zx=2A-2%+22a2+23஺3+2%4+…+2"0=—17n¦-ᑮ§¨20.ூ^ᫀ௃a(1)⊡ᐙᑡὶ⊤:F®¯®¯ᔠ±²³´4060100L᯿´1090100ᔠ±50150200±¹*»¼½¾=24>6.635,ᡠᨵ99%Ḅ¿ÀÁÂÃIJÅÆÇÈÂÃIJÅÆḄÉÊËÌᨵÍÎ.———P(AB)஺(Ï)oP(HB)P(.)ÐÑ•R=P(WP(8M)_P(8ভ.P(8ভ_Pভ.Pভ_P(48)P(48)_P(B).P_l'•P(8|A)P(B\A)-P(B\A)P(B\A)-P(¦P(“)-P(AByP(AB)-P(¦)P(')oPভpভP(B)P(B)P(ÖB)P(4|8)P(4|8)P(4|B)'(×ᑭᵨØRᦪ,)/^^^^*,P(*3)=Ú=Û)PQ|B)=I—P(A|B)ß,•LUUO1UUJ.UP(4o|oB)=1-PG4|-B)=9*)22ᡠR=4x^=6.5wூ᪆௃(1)⊡ᐙᑡὶ⊤)᪷,⊤tᦪ,±¹K2,L᯿▬⊤-K§¨.(2)(i)᪷,ᩩçᭆ᳛ḄèÇé¹ឋ¡)êëᓽ.(ii)ᑭᵨØRᦪ,LìíçḄᭆ᳛NO)±¹ᓽ.P⚪ὃRîïìឋðñMᵨò⚪)óὃRîᩩçᭆ᳛ḄMᵨò⚪)[t᫏⚪.x12⚓)ᐳ12⚓