2022年山东省德州市乐陵市中考数学二练试卷（附答案详解）

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ADB,••/CḄᦪ'r>48஺1ᦑ⌱A.ÌAC஺஺Í!Î஺1ϱ80,᪷n2ᩩÓᡠḄᙊᕜ¸!ÖᡠḄᙊ׸Ḅ2Ø1Ùp4408=49஺1Úᑭᵨ·¸4Ḅ᜜¸ᓽ'ᑨÜ.Q⚪ὃTzᙊᕜ¸Pᳮ1ᙊ׸ஹÓஹÞḄᐵß1᪷n⚪àḄáâᩩã´ᔠ4ä〉æ.çèµ>⚪Ḅᐵª.9.ூᫀ௃Dூ᪆௃ᵫ⚪w'i1“XXX”⊤0ḄéᜫḄᩩã¤⊡ᐙ6ᜩ¼ᑜjïÌ10ð1´ñòM15ᜩóᡂ,ᦑ⌱D.᪷n⚪w⚪àVḄõ1'(ᑏp“xxx”⊤0ḄéᜫḄᩩã.Q⚪ὃTᵫ÷▭ù⚪ú¿pᑖ5õ1Q⚪Ḅᐵª>û⚪w1ᵫáâᑖ5õ'(iᑮ◤⌕⊡ᐙḄᑁÿ.10.ூᫀ௃Cூ᪆௃ᵫOEᚖᑖA8,DB=DA,•DAB=B=30°,••Z.C=90°,B=30°,:.Z-BAC=60°,•Z.CAD=30°,ᙠRtA/CDAD=2CD=6,•8஺=6,:,BC=BD+CD=6+3=9.ᦑ⌱C.

9ᑭᵨᑮ஺EᚖᑖA8,ᑣ᪷!"ᚖᑖ!Ḅឋ%ᑮDB=D4ᡠ'NZMB=48=30°,()*+NC4஺=30°,,Ḽᑭᵨ.30/0010213Ḅᐵ56AD,78ᑮ5஺Ḅ9ᯠ;)*BD+CDᓽ=.⚪ὃ@A-CDEF5G(IJ!"Ḅᚖᑖ!).Lὃ@A!"ᚖᑖ!Ḅឋ%M.30/0010213Ḅᐵ5.11.ூᫀ௃Bூ᪆௃N(0,0.37)Oᐭy=ax2+bx+cc=0.37,•••Rᱥ!TU(0,0.37),(4,0.37),VRᱥ!WXYZ!x=2,ax2+bx+1.37=0=᦮ᳮZa/+bx+c=—1,Rᱥ!y=ax2+bx+c]!y=-1Ḅ^_`aᙶ᪗Z(d,-1),ᵫRᱥ!ḄWXឋ=Rᱥ!]!y=-1Ḅf^`aᙶ᪗Z(4-4,-1),ax2+bx+1.37=0Ḅ᪷gXI=V5ᡈᐰ=4—V5.ᦑ⌱8.ᵫRᱥ!TU(0,0.37)=c=0.37,ᵫRᱥ!TU(0,0.37),(4,0.37)=Rᱥ!WXY,Na/+bx+1.37=0᦮ᳮZa/+bx+c=-1,᪷⊤k=Rᱥ!]!y=-1Ḅ`a(ᵫRᱥ!ḄWXឋ6.⚪ὃ@VlmᦪopaḄᙶ᪗ᱯr⚪ᐵsgEFVlmᦪ]tuḄᐵ5.12.ூᫀ௃Bூ᪆௃᝞w,AC,AF,BA-------------D•••x32A8CDZyt2AB=5,AC=0AB=5A/2,••aBᐵz!AEḄWXaZF,•AF=AB=5,{a|ᙠACp}CFᨬ■■■AC-AF=5^2-5,••!"C|ḄᨬZ5-5,ᦑ⌱B.ᵫWXឋ%=4F=AB=5,ᵫyt2Ḅឋ%=AC=gB=5{a|ᙠ!"ACp}CFᨬᓽ=6.10⚓ᐳ19⚓

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13ZN/N᝕᝕ᵱ᝕᝕ᵱ᝕᝕ᵱ᝕᝕᝕ᐳᨵ12?Gᐸjាj!ᵱ!᝕Ḅᨵ6•ាj!ᵱ!᝕Ḅᭆ᳛Zᘤ=Iាj!ᵱ!᝕Ḅᭆ᳛Z(1)ᵫAḄYᦪ◀ᡠᓰ%=RὁT!ᐳVBḄWXYᦪᓽ?⚪q(2)ᵫ360஺7CᡠᓰḄᓽ?q(3)ᵫzᙳᦪḄ¢£ᑡdᓽ?q(4)᪛ᐳᨵ12?Gᐸjាj!ᵱ!᝕Ḅᨵ62ᵫᭆ᳛¦<ᓽ?.@⚪ὃBC᪛,<ᭆ᳛ᡧcd§ᩩcd¨©HI=᪛⚪Ḅᐵ⚪~MNᭆ᳛=ᡠ<ᦪª«ᦪ¬.21.ூᫀ௃᝞2,®¯°DG1CG³G,®A°4F1DGµ¶³·ᵫ⚪N?¨¸·4஺=46஺஺=¸8஺"=53°,fvAD=15cm,DC=20cm,GCHq•sin"”=\"஺8COSNGDC=^"0.62•DF=12cm,DG=12cm,-FG=FD+DG-24cm,ᓽÉÊᨬË®4ÌÍÎ☢ḄÌÍZ24cm.ூ᪆௃Ï°ᚖÑ᪀⌼ÔmÕmᑭᵨÔmÕmḄØmᐵÙᑖÚ<=஺·DGᓽ?.@⚪ὃBÔmÕmḄÛᵨÔmÕmḄØmᐵÙ⚪ḄÜÝ᪀⌼ÔmÕmHIḄᐵ.22.ூᫀ௃(1)ÞßàáCD,᝞BM1AB,•••/.CBA=90°.ᙠãACD§ãACBj,å14⚓ᐳ19⚓

14AD=ABAC=AC,CD=CB•Z.CDA=Z-CBA=90°.•CDLADf••CDZOCḄçè.4஺Z0cḄᑗÑq(2)-AACD^^ACB.Z.ACD=Z-ACB.•••ACB=30°,:.Z.DCB=2/-ACB=60°,PCD=120°.ᙠRtã48஺jtanZ-ACB=—,BCAB_yf3=BC3BC=2>/3.•••êëìḄíZ120426=îᐔ1803ூ᪆௃(1)àáC£>,ᑭᵨᐰÕmḄᑨ¢ªឋòᔿᑣ%N£§ᙊḄᑗÑḄᑨ¢¢ᳮᓽ?q(2)ᑭᵨÔmÕmḄØmᐵÙ¢ᳮ<%³®çè2ᑭᵨôí¦ᓽ?.@⚪õ⌕ὃBCᙊḄᑗÑḄᑨ¢ᐰÕmḄᑨ¢ªឋòᚖÔḄN£ÔmÕmḄØmᐵÙ¢ᳮôí¦àá÷ᑗ®ḄçèLø⚪ùúûḄüýÑ.23.ூᫀ௃(1)ᵫ⚪N¨þᱥḄ⚔ᙶ᪗(11,13.5),ᑣᱥḄ᪆:y=a(x-11)2+13.5,•••ᱥᨵ(0,8),•••8=a(0-II)2+13.5,1CL=-------22ᱥḄ᪆y=_,(%_11)2+13.5(0

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