2023年高考数学微专题专练55含解析

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55Ḅᐵᐵஹᫀ⚪ᦣஹḄᐵᐵஹஹឋᐸ"ᵨ.%&Ạ(ᓄ*+ஹ⌱-⚪1./X,yᨵ34ᦪ67892,…910>,?ᦣ71>@/u,Vᨵ34ᦪ6739r,>72=l,2,…910>,?ᦣ72>.ᵫFGHᦣIJᑨL7>A.xOyឋᐵ9஺OyQឋᐵB.xOyឋᐵ9஻OTUᐵC.xOyឋᐵ9uO/ឋᐵD.xOyUᐵ9஻O/Uᐵ2.%2022•[\ḕᓭ_`ab*᪷6ᑖexOyḄ3fᦪ69g?ᑮᱏ=2.974,m6n⊤pqḄrឋsḄrᭆ᳛vw"Ḅxyv9zqnᑡᑨL9|}Ḅ~7>7஻0.10.050.010.0050.001k2.7063.8416.6357.87910.828A.ᨵ95%ḄxOyB.ᨵ95%ḄxOyUC.xOy9FH┯Ḅᭆ᳛U10%D.*OyU9FH┯Ḅᭆ᳛U10%3.%2022•ab*IJ~ᜧᯠஹwḄ9¡U¢Ḅ⚣᳛x7¤ᑖ¥Ḅ¦ᦪ>O§¨y7ᓫª࠷>¬ᙠḼ¯(Ḅឋᐵᐵ.°ᙢ34²ᕒ᪷6᝞⊤Ḅ34ᦪ69µ¶yᐵ·xḄឋy=0.25x+kᑣnᑡ»U|}Ḅ~7>x7¦ᦪ/ᑖ¥>2030405060

1/(࠷)2527.52932.536A.AḄv~20B.x,yᕈ|ᐵᐵC.¿xḄvÀÁ1,ᑣyḄvÂÀÁ0.25D.Ã52¦/ᑖÄ9ÅᙢÃÄḄ§¨⚜4v33.5࠷4.n⊤~+ªÇÈpÉÊzḄᡂÌÍÎÏÐ/ᕜÒ3456789ÓÔ/cm94.8104.2108.7117.8124.3130.8139.1᪷6J×᪵Ùᦪ69᝛µḄÓÔy7cm>OÏÐx7ᕜÒ>Ḅឋ7.19x+73.96,pqnᑡজyOxᐹᨵ|Ḅឋᐵᐵঝ᪵ÙḄsÞ742,117.1>@ঞÉÊ10ÒÄḄÓÔ~145.86cm@টÉÊÏÐÀÁ1ᕜÒ9ÓÔÂÀÁ7.19cm.ᐸs9|}ḄHᦪ~7>A.1B.2C.3D.45.°ᜧáâãäå¶æçè/⊙âḄêë~ᔲOឋíᨵᐵ9ᙠᐰ᪥+Ïðáèsñò¶ó᪵ôõ9ôõö᝞n⊤ᡠøêë⊙âUêë⊙âùᵱè18426210᝕è20050250ù38476460᪷6⊤sᦪ69ü?ᱏḄ34vý஺=goᑣᨵ%Ḅ⊙Ḅឋᨵᐵ.ὃᦪ2"/0.150.100.050.0250.0100.0050.001ko2.0722.7063.8415.0246.6357.87910.828A.90B.95

2C.97.5D.996..ᑡ⊤1ᡠ3Ḅ45ᦣ789:ᦪ;᦮8=ᑭᵨᨬABCDEFG45ᦣ7ḄHឋIJKHLMy=0.8P155,RSTUV9SWX5YᦪḄyZ[\]^8_`aᦪbc᝞.⊤ᡠ38ᑣᑭᵨIJLMeEFfᦪ0ḄZX196197200203204y1367mA.8.3B.8.2C.8.1D.8Bஹhi⚪7.᝞klYᦪx,nḄᦣ7k8oᨬABCDpqrsqt8y*vwḄHឋIJLMy=6x+l,ᑣ6=.8.z{|Tᝅ~Ꮙ⚜■Ḅᵨ8500ᝅ~ᏉḄ᜜500Uᝅ~ᏉḄḄnb8Ꮇ“Gᝅ~Ꮙ]ᑮ⚜■Ḅᵨ”8ᑭᵨ2X2ᑡὶ⊤qtᡠFḄ^^3.918.o¡¢£Z⊤V¤¥¦3.841^0.05._8§¨Fz©.ª«জᨵ95%Ḅ“Gᝅ~Ꮙᑮ⚜■Ḅᵨ”ঝ¯T°Uᝅ~Ꮙ8±²³ᨵ95%ḄeঞGᝅ~Ꮙ⚜■Ḅᨵᦔ᳛95%টGᝅ~Ꮙ⚜■Ḅᨵᦔ᳛5%.ᐸ¹ᡠᨵº»ª«Ḅ¼½l9.z¾〉ÀrÁᕒÃÄÅÆÇÈÉḄ᝱Ë8TÌÍÎÏСz200`30-40ÒvwḄrÁᕒ8FᑮḄ᝞.⊤ᵱrÁᕒ᝕rÁᕒ

3ÆÇ8040]ÆÇ4040ᑣh“ᨵ”ᡈ“Öᨵ”99%©×Ḅ“ÆÇឋᨵᐵ”.„nad—be}2(a+L)(c+d)(a+c)(6+d)᜛Þᙠ஺0.100.050.0250.0100.0050.001ko2.7063.8415.0246.6357.87910.828ánᓣã10.z¾TäåæçḄèéêᦈᐭêíḄᐵî8ÎÏСzäå5ᡝèé8Fᑮ᝞.ðqᦪ⊤:ᦈᐭxòᐗ8.28.610.011.311.9íyòᐗ6.27.58.08.59.8᪷×⊤eFIJKHLMõ᱐+a,ᐸ¹6=0.76,a=86._pq8äåᡝêᦈᐭ15òᐗḄèéêíA.11.4òᐗB.11.8òᐗC.12.0òᐗD.12.2òᐗ11.᧡⁚ùw8“ᔍû⁚ü8ýþÿ”
ោᯠᔿ100ឋḄᔲᑮ“ᐝ!”"#$ᑮ᝞&Ḅᑡὶ⊤*ᑮ“ᐝ!”ᑮ“ᐝ!”ᵱ4510᝕3015᜛1230.100.050.025k2.7063.8415.024n(ad—bey:a+Z?3:c+:Z3:a+c3b+d
@᯿▬⊤$ᑮḄCDEF:3A.ᙠI┯KḄᭆ᳛N1%ḄPQ&RS“Tᔲᑮ‘ᐝ!’Wឋᨵᐵ”B.ᙠI┯KḄᭆ᳛N1%ḄPQ&RS“Tᔲᑮ‘ᐝ!’Wឋ[ᐵ”

4C.ᨵ90%^_Ḅ`aRS“Tᔲᑮ‘ᐝ!'Wឋᨵᐵ”D.ᨵ90%^_Ḅ`aRS“Tᔲᑮ‘ᐝ!’Wឋ[ᐵ”12.[2022•☘ghi]klᕒnop᪥Srstu“vwx”Ḅnoyzᵨᜧ}~noWᕜᑖᦣnoḄᦔt105pᕒES*ᜧ}~noḄ55pᕒᨵ45pᕒὃᕜᑖᦣnoḄpᕒὃḄᨵ30.᪷ERS“ᔲὃWᔲnoᨵᐵ”I┯KḄᭆ᳛N.▬**=:a+3:c+:a+c3b”'ᐸ஻=a+6+c+d:᝞0.050.0250.0100.001ko3.8415.0246.63510.82813.ᵯ¢£¤Ḅᡂ¦§¨ᵫªᑖ«ᡂ¬ᡂ¦x®¯ᡂ¦SDT£¤Ḅᡂ¦°"5±ᦈᑮḄᦪ᝞⊤*£¤ᦪX1020304050£¤µᡂ¦:ᐗ362a758189ᵫᨬ¸x¹º$ᑮ»¼yy=0.67x+54.9,ᑣa=.

5ÁÂ55¯ÃḄÄᐵᐵÅஹᫀÈ1.CᵫᦣÉÊËÌÍÉÎᑖÏᙠᩩÑÒÓᑁᐹᨵÄᐵᐵÅ.2.DÖS*=2.974>2.706,ᡠ^¯ÃxWyÄÙÚÛÌEFI┯KḄᭆ᳛N10%.3.Dᵫ⚪Ý$—1x=7X(20+30+40+50+60)=40,5—1y=-X(25+27.5+29+32.5+36)=30,ᑣk=y-0.25x=30—0.25X40=20,ᦑACDᵫãឋ»¼y®Ëb=0.25>0,¯Ãx,yᕈCÄᐵᐵÅᦑBCDåxḄæçè1,ᑣyḄæéçè0.25,ᦑCCDêx=52ëì0.25X52+20=33,ᦑDCD.4.Bᵫíãឋ»¼ySì7.19x+73.96,7.19>0,ᓽyxḄçᜧïçᜧyWxᐹᨵCḄãឋÄᐵᐵÅজCDᵫñ®$᪵¦ÉḄ1S(6,117.1),ঝ┯Kêx=10ëy=145.86,ôSõæᡠ^ö¢10÷ëḄøùḄõæ145.86cm,ïû▭æঞ┯Kᵫí»¼þãḄÿ᳛
7.19,ᑣ1ᕜ7.19cm,টᦑ⌱B.5.Bᵫ⚪!"4.804>3.841,ᡠ)*+ᨵ95%Ḅ/01
2⊙4Ḅ567ឋ9ᨵᐵ.6.Dᵫ⚪!=>?-196+197+200+203+204x=-----------=-----------=200,O—1+3+6+7+F17+7/=5HIJKL᪵NOPQᑣ?17+/^^-=0.8X200-155,T>?/஻=8.57.Vᫀ?0.8X0.9+1.9+3.2+4.4°Zy=4=2-6,

6[y=6x+lL(x,y),.,.2.6=26+1,8=0.8.8.Vᫀ?জT᪆?᪷de2fgh⊤"஺(*23.841)^0.05,ᦑᨵ95%Ḅ/01
“mᝅopᏉrstᑮ⚜■xyḄzᵨ”ᓽজ~95%ᢣ“mᝅopᏉrstᑮ⚜■xyḄzᵨ”Ḅ=Kᡠ)ঝঞট┯.9.Vᫀ?ᨵ,n(ad-be)22T᪆?ᵫk=(a+b)(c+ᵫ(a+c)(b+d)20°"ἠ75ᨌ”ᔆ=6.635,ᦑᨵ99%)Ḅ/01
“7ឋ9IZUAoUAIZUAouyᨵᐵ”.8.2+8.6+10.0+11.3+11.9,_____10.Bᵫ">X-------------------
--------------10(ᐔ)y=6.2+7.5+8.0+8.5+9.8_Z-----------------------=8(ᐔ)ᦑa=8—0.76X10=0.4,ᡠ)HIJK
y=0.76%+0.4,ᡠ)¡¢Xᡝᦈᐭ
15ᐗḄ§¨©ª
y=0.76X15+0.4=11.8(ᐗ).11.Cᵫ2X2ᑡὶ⊤>ᑮ®=45,Z?=10,c=30,(7=15,ᑣa+Z?=55,c+d=45,a+c=75,±+d=25,ad=675,be=300,n=100.²ᐭᱏ=n{ad—be)100(675-300)>/Ḅ´µhk=¶3.030.·
(a+6)(c+d)(d+c)(b+d)55X45X75X252.706<3.03(X3.841.ᡠ)ᨵ90%)Ḅ/01
“¹º»sᔲ½ᑮ'ᐝÀ'7ឋ9ᨵᐵ”.12.Vᫀ?0.025T᪆?ᵫ⚪!=>ᑡὶ⊤᝞ÂÄOÅÆᑖᦣÅÆÉÊXËὃL453075XËÍὃL102030ÉÊ5550105,2105X(45X20-10X30)2..........*=55X50X75X30Ã6.109>5.024.ᦑÎ┯Ḅᭆ᳛ÐÑL0.025.

713.Vᫀ?68T᪆?ÊÒ=>'1=30)7=ᧅ,ᡠ)ÔÕ=0.67X30+54.9,T>a=68.