2021-2022学年内蒙古呼伦贝尔市满洲里九年级（上）段考数学试卷（附答案详解）

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2021-2022
ᑁℳ
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1118.ூ/ᫀ௃(1)9(%—125=0,⚗ᓄ"(x-I)2=I&zA"x-l=ᡈ*-1=—"33%1=1+ᙛX=1--yE2(2)x2+4x-5=0,¥¦ᑖ"(x+5)(x-1)=0,ᑣx+5=஺ᡈx-1=0,Xi--5,x—1;2(3)(X+1)2=2X+2,ᓄ"x2—1=0.¥¦ᑖ"(x+l)(x-1)=0,Xi--1,x=1;2(4)4/+12x+9=81,ᓄ"X2+3%—18=0.¥¦ᑖ"(x+6)(x—3)=0,ᑣx+6=஺ᡈx—3=0,=—6,x=3.2ூ᪆௃(1)ᐜ⚗"ᯠ5ᵨzA®/ᓽ?E(2)ᑭᵨᓝ°±®²ABḄ³´¥¦ᑖ"µ@'¶ᐵxḄ2ᐗ2LAB"·2¸Dᓽ?E(3)ᐜᓄAB"ᯠ5ᑭᵨA¹º¦²ABḄ³´¥¦ᑖ"µ@'¶ᐵxḄ2ᐗ2LAB"·2¸Dᓽ?E(4)ᐜᓄAB"ᯠ5ᑭᵨᓝ°±®²ABḄ³´¥¦ᑖ"µ@'¶ᐵxḄ2ᐗ2LAB"·2¸Dᓽ?.F⚪»⌕ὃH2ᐗKLAB"2ᐗKLAB½ᵨḄA®ᨵzA®ஹ¥¦ᑖ®ஹº¦®¿ÀA®"⚪ḄᐵU᪷ABḄᱯg⌱ÂÃḄA®.19.ூ/ᫀ௃•••sᱥuxxg(1,0)ஹ(3,0),?;sᱥu᪆¦yy=-l)(x-3),

12Ä(0,-3)Åᐭ23=ax(0-1)x(0-3),a=-l,ᡠ%sᱥu᪆¦yy=-(x-1)(%-3),ᓽy=—x2+4%—3.ூ᪆௃;g¦y=a(x-l)(x-3),ᯠ5Ä(0,-3)ÅᐭD@aḄ~ᓽ?.F⚪ὃHIsᱥuxxḄgÄDKLbᦪÆ=஺/+ᓃÈ+4/4½ᦪ"஺ᜧ0)ÈxḄ£1gᙶ᪗1⚪ÉᓄyᐵxḄ2ᐗKLAB.lὃHIÊËZᦪ®DKLbᦪ᪆¦.20.ூ/ᫀ௃;Ì2ᜩḄÎÏqᙳ2ÐÑÒÎÏIxÐÒ"ᵫ⚪x+1+x(x+1)=169,᦮ᳮ")%?+2%—168=0."=12,x=-14(Qᔠ⚪!)2/ᙠÌ2ᜩḄÎÏqᙳ2ÐÑÒÎÏI12ÐÒ.ூ᪆௃;Ì2ᜩḄÎÏqᙳ2ÐÑÒÎÏIxÐÒ"ᑣÖ2ᜩᨵxÐÒ×ÎÏ"ÖKᜩᨵx(x+1)ÐÒ×ÎÏ"ᡠ%ØÙ'ᜩḄÎÏ5ÚÏÛÜḄÒᐳᨵ1+Þ+x(x+l)Ð"᪷ØÙ'ᜩḄÎÏ5ßÒàÚÏÛÜḄÒ=169,yY6ᐵZᑡ@ABD@Qᔠ⚪Ḅ~ᓽ?.F⚪»⌕ὃH2ᐗKLABḄMᵨ"ᐵUᙠR@Y6ᐵZ(ØÙ'ᜩÚÏÛÜḄÒ2Ë)ᑡ@ABD.21.ூ/ᫀ௃;̶áâ@x¶Ñᑖá"ã⚪1+%+/=73,᦮ᳮx2+x-72=0,%i=8,ä=—9(Qᔠ⚪"!)./̶áâ@8¶Ñᑖá.ூ᪆௃;̶áâ@x¶Ñᑖá"᪷»âஹáâஹÑᑖáḄåᦪ73,ᓽ?@ᐵxḄ2ᐗKLAB"æçᐸè~ᓽ?@éê.F⚪ὃHI2ᐗKLABḄMᵨ"R[Y6ᐵZ"è\ᑡ@2ᐗKLAB⚪ḄᐵU.22.ூ/ᫀ௃;ëìᔜ´ᚖïḄxm,ã⚪(6+2x)(4+2x)=2x4x6,/=-6(ᔠ⚪"!)"x=1,2

13ᡠ%6+2x=8m,4+2x=6m./&ᙽëìḄrñᑖò8nlr67n.ூ᪆௃F⚪»⌕ὃHI2ᐗKLABḄMᵨ"᪷⚪@Y6ᐵZ⚪ḄᐵU.;ëìᔜ´ᚖïḄxm"᪷“ëì☢õö☢☢õḄ2÷”ùyYᐵZᑡAB(6+2x)(4+2x)=2x4x6,ABᓽ?D.23.ூ/ᫀ௃(1)úû7Ìᨴ├þ)ᖪḄᑭ(360-280)x60=4800ᐗ(2)ᖪxᐗᵫ⚪(360-x—280)(5x+60)=7200,Xi=8,=60⌕ᨵᑭᑣx=60,ᓽ⌕"ᖪ#ᨴ├&'(ᖪḄᑭ)ᑮ7200ᐗ+ᨵᑭᑣᖪ60ᐗ.(3)y=(360-x-280)(60+5x),=-5x2+340x+4800,=-5(x-34)2+10580,•.x=34/y0ᨬᜧ310580,ᓽ&326ᐗ/4ᑭᨬᜧ10580ᐗ.ூ᪆௃(1)ᵨᖪḄᑭxᨴ├&9:(2)᪷<“4ᑭ=ᓫᑭX├&9”ᑡABCD:(3)᪷<(2)EᡠGHᐵJᑡAKᦪ᪆MNBᡂ⚔QM:.R⚪STUKᦪḄᵨV├&ᑭW⚪XYH9ᐵJ4ᑭ=├&9x(&-[)]^⚪Ḅᐵ_S`a⚪YbATUKᦪḄ᪆M.24.ூcᫀ௃(1)efghiᨵ9Ḅjkᙳmn᳛X,ᑣ64(1+%)2=100,x=0.25=25%,ᡈr=-(sᔠ⚪uv)cjkᙳmn᳛25%(2)•••efghiᨵ9Ḅjkᙳmn᳛25%,

14•••wxyᑮ2017jjzefgh100(1+25%)=125({)cwxyᑮ2017jzefgh|)ᑮ125{(3)wxy:}~ᑁha☄ᜩhbᵫ⚪(5a=2b15000a+10006=150000Tcwxy:}~ᑁh20☄ᜩh50.ூ᪆௃(1)efghiᨵ9Ḅjkᙳmn᳛ᑡAᐗTUBCḄ⚪ᓽ:.(2)2017jḄh{=2016jḄh{x(1+%).(3)wxy:}~ᑁha☄ᜩhbᵫ⚪ᑡATᐗUBC:Acᫀ.R⚪ὃᐗTUBCḄᵨTᐗUBCḄᵨmn᳛W⚪ᦪSa,UmnḄᑖ᳛a,ᑣUmna(l+x)TUmna(l+x)2,ᓽᦪx(1+mnᑖ᳛y=ᩭᦪ.25.ூcᫀ௃(1)y├&ᓫxḄKᦪᐵJMy=kx+b,|Q(30,100)ஹ(45,70)ᐭUKᦪ⊤)MTᫀ;1°=3=160ᦑKᦪḄ⊤)My=—2x+160(2)ᵫ⚪w=(x-30)(-2x+160)=-2(x-55)2+1250,v-2<0,ᦑ.55/wḄmᜧmᜧ30WXS50,T.x=50/wᵫᨬᜧ3]/iv=1200,ᦑ├&ᓫb50ᐗ/w¡¢ᜩḄᑭᨬᜧᨬᜧᑭ1200ᐗ(3)ᵫ⚪:(%-30)(-2x4-160)>800,4020,•.ᜩḄ├&9ᨬ20.ூ᪆௃প|Q(30,100)ஹ(45,70)ᐭUKᦪ⊤)Mᓽ:D(2)ᵫ⚪w=(x-30)(-2x+160)=-2(*-55)2+1250,ᓽ:D

15(3)ᵫ⚪(x-30)(-2x+160)>800,sHMᓽ:ᑮ¥¦.]⚪§⌕ὃTUKᦪḄᵨ¨©ᐗTUsHMḄᵨஹªbJᦪ«DUKᦪ᪆MH¬®Yᑭᵨ├9xḄᑭ=wAKᦪᐵJMS⚪ᐵ_.26.ூcᫀ௃প4(2,0),B(6,0)(2)|4ஹB¯Qᙶ᪗ᐭTUKᦪ)/=Q/+b%+6,(4a-2b+6=0(36Q+6b+6=O'³w3=219y=-3%+2%+6,y=-|(x-2)2+8,•µᱥ·¸¹ºr=2,⚔Qᙶ᪗(2,8)(3)᝞¼½QCᐵµᱥ·¸¹ºḄ¸¹QC',¾¿4C',õᱥ·¸¹ºPQ¾¿CP,vC(0,6),•C'(4,6),À·4C'᪆Mஹ=Qx+b,ᑣ(—2a+b=0t4a+b=6'Á:;,Ay=%4-2,.=2/y=4,ᓽP(2,4)(4)⚪4B=8,QB=6—m,AQ=m+2,OC=6,ᑣS.B஺=^48xOC=24,,,ᵫ0Q//4C,•.(BDQfBCA,,S^BDQ=■=(H)2,S^BCAᓽSABDQ=1(m-6)2,ÆSfCQ=xOC=3m+6,

16•••S=S&ABC-S&BDQ-SZACQ=24-|(771-6)2-(3m+6)=-m2+|771+|=-1(771-2)2+6,T.m=2/Sᨬᜧ.ூ᪆௃(1)ᐗTUBC/4x-12=஺:D4ஹ8¯Qᙶ᪗(2)|4ஹB¯Qᙶ᪗ᐭTUKᦪy=ax2+bx+6,:DTUKᦪ᪆MNB⚔QM:D¸¹º©⚔Qᙶ᪗(3)½QCᐵµᱥ·¸¹ºḄ¸¹QC',¾¿4C',õᱥ·¸¹ºPQ¾¿CP,PQᓽᡠD(4)ᵫDQ஻4cÈBOQSABCA,ᑭᵨGÉ⊤ÊÈBOQḄ☢ÌᑭᵨÍÎÏ☢ÌÐM⊤ÊÈ4CQḄ☢Ì᪷