初中代数-人教版教案

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#$Ḅ%&'(ᐗḄ)*+,-ᙢᐗ3.012ᐗḄ᪷4ᳮ456ᵨ789:5ஹ;5ᐗḄᐵ=0⌱ᵨ〉@Ḅ5,-ᙢ•ᐗ4.ᳮᐗḄ᪷ḄᑨD0᪷E᪷ḄᑨDᑨFᦪH=ᦪḄḄᐗḄ᪷ḄIJ஺5.'(ᐗ᪷6=ᦪḄᐵ=MNḄ⌮ᵨ0ᵨPQᵫSTᐗḄU᪷VWU᪷6XT=ᦪ0Y᪷Ḅ᎔ᦪ6:஺6.\Ḅᭆ0ᵨ]ᑖ5ᡈᣚᐗ5aᓄcᐗᐗḄᓫḄ7.ef“XT”6“ST”Ḅijkᐵ=஺ὃmno1.Ḅᨵᐵᭆ(1)sᨵXTᦪḄtu.vwxYyḄz{ḄXTᦪḄztuḄ(|sᨵUXTᦪḄḄ}tu᪷)(2)ᐗ~|sᨵUXTᦪXTᦪḄᦪ1,=ᦪcḄtuᐗ஺)&cax=b(a#0)(3)ᐗ~sᨵUXTᦪXTᦪḄᨬᦪ2Ḅtuᐗ஺)&cax'bx+cHXa#஺)2.Ḅ5(1)ᐗḄ)*+ᑖஹஹ⚗ஹᔠ⚗=ᦪᓄᡂ1(2)ᐗḄ5~জ789:5&᝞(mx+n)2=r(r2o)ḄYy9:ᓽa¢ᓄcYUᐗᩭ¤¥5tu789:5.ঝ§ᐗ¨©;ᓄᡂ(mx+n)"=r(r>o)Ḅ&¬ᵨ789:5¤¥5tu;5;Ḅ®¯°⚗=ᦪᓄc;Ḅᐵ±Y²³´µ⚗=ᦪ¶Ḅ:஺ঞ45¨©;5a¸¹ᐗax2+bx+c=0(aWO)

22—6+Jb2—4ncḄ᪷4~x=--~~—2aᵨ᪷4ᐗḄ5tu45.ট]ᑖ5᝞¾ᐗaxஹbx+c=O(aW())Ḅwya¸ᑖcYU•]Ḅ¿ÀÁ᪷EYU]Ḅ¿Â0,¤YU]ÃÄᨵUc0,Åa¢ᓄcYUᐗᩭ¤¥5tu]ᑖ5.3.ᐗḄ᪷ḄᑨDA=b2-4acÈ=b2-4ac>0QᨵYU{ḄÊᦪ᪷A=b2-4ac=0«ᨵYU{ḄÊᦪ᪷È=b2-4ac<0=ÍᨵÊᦪ᪷஺4.ᐗ᪷6=ᦪḄᐵ=Îᐗax2+bx+c=0(a^0)ḄY᪷ᑖDcx„x,¼IJᨵX1+X2=X1*X=,o22aaὃm⚪Ò()51.(=x+1Ḅ᪷()(A)x=A/X+1(B)x=1±ᓽ(C)x=×^/x+1(D)xT22.2x?+x=0Ḅc()(A)xi=0x2=1(B)Xi=0x2=-2(C)x=-(D)xi=(13.px;!-3x+p:!-p=0ᐵÂxḄᐗᑣ()(A)p=l(B)p>0(C)p#0(D)pcáâÊᦪ4.ãᑡåcx=2Ḅ()(A)3x=x+3(B)-x+3=0(C)2x=6(D)5x-2-85.ᐵÂxḄx~'-3mx+m-m=0ḄU᪷cT,ÀÁmḄz()6.ST2x-31+4xèc{éᦪᑣx=஺7.ãᑡ~(1)X-1[X—(x-9)](x-9)(2)x2-12x=3(;5)(3)y3-2y?=5y-10(4)3x2-5x-2=0(5)x2-6x+1=0(-)᪷ḄᑨDM᪷6=ᦪḄᐵ=Kὃmno6ðñ⚪Ò11.ᑭᵨ᪷ḄᑨDᑨDᐗ᪷ḄIJᨵᐵò⚪Vóᙠ⌱õ⚪ᡈö÷⚪å᝞~ᐵÂxḄax?-2x+1=0å᝞¾aீ0,ÀÁ᫱ḄIJ()(A)ᨵYU{ḄÊᦪ᪷(B)ᨵYU{ḄÊᦪ᪷(C)ÍᨵÊᦪ᪷(D)úû2.ᑭᵨᐗḄ᪷6=ᦪḄᐵ=ᨵᐵY᪷ḄüᦪḄzᨵᐵý⚪ᙠåὃò⚪åVóḄ⚣᳛
⌱⚪ᡈ⚪᝞X”X22——6x+3=0Ḅ᪷ᑣ!+xJḄ#()(A)15(B)12(C)6(D)33.ᙠ.ὃ0⚪.
12ᨵᐵ᪷Ḅᑨ67ஹ᪷9:ᦪᐵ:Ḅ<ᔠ>?⚪஺ᙠABC0⚪.D12EᨵᐵḄFGHIJ0⚪ὃKEὃLᑖ᪆O⚪ஹ>PO⚪ḄQR஺1.ᐵSxḄax'-2x+l=0.᝞Xaீ0,[\᪷Ḅ]^()(A)ᨵ_`aḄbᦪ᪷(B)ᨵ_c`aḄbᦪ᪷(C)dᨵbᦪ᪷(D)cQef2.X”X22x2—6x+3=0Ḅ᪷gijxj+xjḄ#()

23(A)15(B)12(C)6(D)33.jᑡ.ᨵ_`aḄbᦪ᪷Ḅ()(A)2yஹ5=6y(B)x'+5=2^5x(C)/x'o/x+2=0(D)3x’—2mx+l=O4.tx?+2x—3=0Ḅ_᪷Ḅv9w᪷Ḅoᐗyz()(A)y2+5y-6=0(B)y2+5y+6=0(C)y2-5y+6=0(D)y-5y-6=05.᝞Xxi,X2_c`abᦪ{|}x/o2xi=Lx2—2x2=1.2[\x,X2aS()(A)2(B)-2(C)1(D)-16.᝞Xoᐗyzx2+4x+k2=0ᨵ_`aḄbᦪ᪷[\k=7.᝞XᐵSxḄ2x?—(4k+l)x+2-1=0ᨵ_c`aḄbᦪ᪷[\kḄ#.8.X”X22x?—7x+4=0Ḅ᪷ᑣxi+xz=,x,x=,(x,—x)=229.ᐵSxḄ(m?-2)x2—(m—2)x+l=0Ḅ_᪷᎔ᦪᑣm=ὃ(-)>1.ᐵSxḄoᐗyz(2-m)x2=m(3-x)TḄyz⚗:ᦪz⚗:ᦪ
ᦪ⚗Ḅ▲ᑴo2.x=x-Ḅ#aS1஺O3.ax'+bx+c=0,a/0,b-4ac0ᐸb᪷x=4.XḄ20%15Ḅ¡Ḅo¢aS2,ᵨ⊤¥5.¦(2X+1)(3X-2)=3(X2-2)ᓄᡂoᐗyzḄo©ª7«6.a-(7-5x)=5-xḄ>x=-¬,gUa=9l(-]17.®ᦪ7—9®ᦪ7¬k+3Ḅ#`akḄ#()(A)7(B)8(C)9(D)108.5m+19¯`°ᦪᑣmḄ#()OO3434(A)ᱛ(B)-(O--(D)--9.axJ+bx=0(a#0)Ḅy᪷()LJbaX?·(A)Xi=X2=0(B)Xi=0,(0Xi=o,x2=-(D)X,=baaa10.>jᑡ:/´2x-lx+0.12x+l2(t-3)15t_4t-28(1)------------=-------1(2)14-.55~-To--30.64(3)2x(5x-2)=x(7-5x)+14(4)2t2-4=7t(5)3(2x-I)2=75(6)+8x?+15x=0(7)(x2-x)2-4(2x2-2x-3)=0(y)᪷Ḅᑨ67º᪷9:ᦪḄᐵ:

241ஹc>ᑨ6jᑡ᪷Ḅ]^(1)x?-x=5ফ9x—m+2=0(3)X2-X+2=02ஹm=/+3+4=0ᨵ_`aḄbᦪ᪷¬m=mx2+4x+l=0ᨵ_c`aḄbᦪ᪷¬3ஹᐵSxḄ10x2—(m+3)x+m—7=0,ᨵo_᪷0,ᑣm=,»Ḅ¼o_᪷¬᪷½voB"ᑣ1«=,»Ḅ_᪷.4ஹ3—mx°+mx+7=0Ḅo_᪷À¼o_᪷ºmḄ#஺5ஹÀÁ(m'+l)x'-2mx+(m'+4)=0dᨵbᦪ᪷஺6ஹÀÂo_oᐗyzÃÄḄ᪷ᑖ61omvo7ஹxi,X22x2+4x-3=0Ḅ᪷ᑭᵨ᪷9:ᦪᐵ:Àjᑡᔜ7Ḅ#:(1)(Xi+1)(x+l)ফÈ+~(3)Xi2+xIX+2Xi22Xix2ÉÊË(-)>1.k=2ᐵSxḄ3|k|-2x=6x+4Ḅ>2.4X?-9=0Ḅ᪷,(x-ay=b(b>0)Ḅ᪷3.x?+3x+l=0ᑣx+'=x---------4.BΪḄÏÐᑖ61v2,ÑBÏḄᦪ#2/-5x+3=0Ḅ᪷ᑣBΪḄᕜÐ5.k(F-3k+2)x2+(k2+6k-7)x+2k+l=0,ᐵSXḄoᐗyz¬k»_ᐵSXḄoᐗoz.2-YV—16.Ô-Õ=5Ḅ>()(A)5(B)-5(C)7(D)-77.ᐵSxḄ2x-4=3mvx+2Öᨵ`×Ḅ᪷ᑣmḄ#()(A)10(B)-8(C)-10(D)88.Øjᑡᔜ7Ù(1)X2-X+=(X-)2(2)X2-_X+25=(x-)29.2x-3xy-20y2=0yWOÀj.10.>jᑡ(1)(x-1)(x+3)-2(x+3)-+3(x+3)(x-3)-0(2)x3-2x2+1=0(3)(3x2-2x+1)(3x2-2x-7)+12=0

25(y)᪷Ḅᑨ67º᪷9:ᦪḄᐵ:1ஹ᝞Xx‘o2(m+l)x+n?+5o_Ýᐰß7ᑣm=;2ஹ2x(mx—4)=——6dᨵbᦪ᪷ᑣᨬâḄ᦮ᦪm=;3ஹ2(x-l)6-3111)=*(111—4)᪷Ḅv9᪷Ḅw`agljm=;4ஹᐵSxḄoo6x+k=0Ḅ᪷mvn,{3m+2n=20,ᑣk#5ஹ4x2-7x+3=0Ḅ᪷x“X2,c>Àjᑡᔜ7Ḅ#(1)xi'+x2(2)xi—X2(3)+-^~x~2*(4)XiXæ+¬X)2ct—I—4s-I-1*6.bᦪsஹtᑖ6|}19s2+99s+1=0v{19+99t+12=0À®ᦪ7-------------Ḅ#஺7.abᦪ{x>2ax+l=0ᨵ_c`aḄb᪷0ᑨ6x'+2ax+l—JEx'—£-1)=0ᨵêb᪷ë8.ÀÁcìkíbᦪᐵSxḄ7î(x—l)(x—2)—1?ïðtᑖ>ᡂ_ozñ7Ḅw஺9.bᦪKᙠó\#kx?+2(k—1)x-(K-1)=0ᨵbᦪô᪷ëõö(-)>1.bᦪa.b.c|}3a+2+|b+1|+(c+3÷=0Àax2+bx+c=0Ḅ᪷2.ᐵSxḄoᐗyz(ax+1)(x-a)=a-2Ḅᔜ⚗:ᦪ½vaS3,À»Ḅ>3.>(1)(2x-3)2=(3x-2)2(2)øùú=+2(3)(1-H\^2)x--(3-HJ2)X+=0(4)5m2-17m+14=0(5)(x2+x+l)(x2+x+12)=42(6)2x'+(3a-b)x-2a2+3ab-b2=04.>ᐵSxḄx?+x-2+k(x2+2x)=0(k⌕þì)

26(y)᪷Ḅᑨ67º᪷9:ᦪḄᐵ:õö(o)c>ÿᑨ
ᑡ᪷Ḅ(1)2t2+3t-4=0,;(2)16X2+9=24X,;(3)5(U2+1)-7U=0,;1ஹx2—(2m—l)x+m2+l=0ᨵᦪ᪷"ᑣmḄ$%'(;2ஹ)ᐗ+,x2+px+q=O01᪷ᑖ
(2rp425#,ᑣp=,q=;3ஹ563x2—19x+m=0Ḅ)1᪷(1,89:Ḅ;)1᪷(,m=;4ஹx'mx—1=0Ḅ01ᦪ᪷=>?@ᦪ"89mḄ%(;5ஹm,n(ᐵDxḄx2-(2m-l)x+m2+l=0Ḅ01ᦪ᪷"ᑣEᦪFm"=6ஹ56ᐵDxḄx2-(k+l)x+k+2=0Ḅ0᪷ḄJ4KD6,LkḄ%7ஹ᝞Oa4B(2xஹ3x-l=0Ḅ01᪷"ᑭᵨ᪷TUᦪᐵU"LV)1)ᐗ+,"W:Ḅ01᪷ᑖ
KDa+-^4B+—8ஹ56a,b,c(\]^Ḅ\_`"a(a2+b2+cுx2+2(a+b+c)x+3=0ᨵ01?KḄᦪ᪷"Lcde1\]^(f\]^9.$h9ᦪi"+,\⚗F2x2-(4k+l)x+2k'-IlmFᑖn.10.56ᐵDXḄ)ᐗ+,m2x2+2(3-m)x+1=0Ḅ0ᦪ᪷>a,B,s=—>+-y,LsḄ$%'஺tuvw(+)1ஹ56x2—3x+l=0Ḅ01᪷>a,B,ᑣ=,a3=2ஹ᝞OᐵDxḄX2—4x+m=0Txz—X—2m=0ᨵ)1᪷?y"ᑣmḄ%>;3ஹ562x=3x+k=0Ḅ0᪷z{>2,ᑣk=:4ஹ(+(^—2)x—3=0Ḅ0᪷(14)3,ᑣa=;5ஹ4x2-2(a-b)x-ab=0Ḅ᪷Ḅᑨ
FḄ%(;6ஹᐵDxḄ/+2(m—l)x+4m2=0ᨵ01ᦪ᪷"ae01᪷=>᎔ᦪ"89mḄ%>7ஹ56p<0,qீ0,ᑣ)ᐗ+,x?+px+q=0Ḅ᪷Ḅ(;8ஹX2-3X-1=0Ḅ01᪷ḄJ>᪷Ḅ)ᐗ+,(;9ஹxi,xz(2x2-6x+3=0Ḅ01᪷"LᑡᔜFḄ%d

27পX&2+X2ফ---10.m$h9%i,2x2-(4m+l)x+2mZ-l=O(Dᨵ01?KḄᦪ᪷"(2)ᨵ01?KḄᦪ᪷"(3)ᨵᦪ᪷;11.x?+px+q=00᪷z>1:2,᪷Ḅᑨ
FA=l,Lp,qḄ%஺12.(ᔲᙠᦪk,WᐵDxḄ9/)(4)7)6-=0Ḅ01᪷ᵫ,"II=1,᝞Oᙠ,X2ZLᡠᨵᩩḄkḄ%"᝞Oᙠ"¡ᳮᵫ஺(+)ᑖF6£¤ᑖFஹn¥¦§ஹn¥ஹ¨᪷ᜧª⌕L¬nᑖFஹ+,᪷FḄᭆ®஺¯°±²ᓫḄᑖFஹ+,᪷F´ᓄ>)ᐗ),ஹ)ᐗ+,Ḅ)¶¥"·ᵨᣚᐗ¥n"·¹º஺ὃ¼½¤1.ᑖFḄn¥(1)¾ᑖ¿¥ᵨ¾ᑖ¿¥nᑖFḄ)¶ÀÁ(d(i)ᙠḄ0_ÂÃᨬ²Åᑖ¿"ƾᑖ¿"ᓄᡂ᦮F(ii)ne1᦮F(iii)±᦮FḄ᪷Eᐭᨬ²Åᑖ¿"ÊËO((Ì"Wᨬ²Åᑖ¿>ÌḄ᪷(ÍḄ᪷"Wᨬ²Åᑖ¿>ÌḄ᪷(¨᪷"ÎÏо.ᙠÑÒÀÁÓ"¾ᑖ¿(ᐵÔ"º᪷Õ◤Eᐭᕒ²Åᑖ¿.(2)ᣚᐗ¥ᵨᣚᐗ¥nᑖF"ØÙ(±〉ÛḄᑖFᣚᡂÜḄÝ6ᦪ"LÜḄÝ6ᦪÞLÍᩭḄÝ6ᦪ.(\)àᳮ(+,᪷F)6£¤+,᪷FḄᭆ®ஹᜧª⌕L¬n+,᪷FḄᭆ®"¯°±+,᪷F´ᓄ>)ᐗ),ஹ)ᐗ+,Ḅ)¶¥"·ᵨᣚᐗ¥n"·¹º஺ὃὤ+,᪷FḄn¥d(1)0_J¥ᵨ0_J¥nàᳮḄ)¶ÀÁ(d(i)0_ÂJ"¾ᣵ᪷ã"ᓄᡂᨵᳮ(ii)ne1ᨵᳮ

28(iii)±ᨵᳮḄ᪷EᐭÍä幺"᝞O〉ᔠ"Ù(ÍḄ᪷"᝞O〉ᔠ"Ù(¨᪷"ÎÏо.ᙠÑÒÀÁÓ"0_J(ᐵÔ"º᪷ÎÏEᐭÍäå.(2)ᣚᐗ¥ᵨᣚᐗ¥nàᳮ"Ù(±〉ÛḄ᪷ãçᨵÝ6ᦪḄFèᣚᡂÜḄÝ6ᦪ"LÜḄÝ6ᦪÞéLÍᩭḄÝ6ᦪ.ὃ¼ᣚᐗ¥nᑖF4+,᪷F"ᨵ)êᑖÕὃ¼ᣚᐗḄëì"íîᙠ⌱ð⚪Ó;)êᑖò⚪ὃ¼ó᦮Ḅn⚪ëì"ò⚪îᙠÓ᫏nõ⚪Ó஺ὃ¼⚪ö1.(1)ᵨᣚᐗ¥nᑖF÷7+*=3i"÷7=y"Íù^>()x—13xx—1(A)/-3y+l=0(B)y2+3y+l=0(C)y2+3y-l=0(D)y2-y+3=02.ᵨᣚᐗ¥nX2+8X+NX+8X—11=23,y=1x?+8x—11,ᑣÍlᓄ>()(A)y2+y+12=0(B)y2+y-23=0(C)y2+y-12=0(D)y2+y-34=03.nᑖFÑ7—ã=—ûü¨᪷"ᑣmḄ%(()X—1XᓝXX(A)—1ᡈ)2(B)-lᡈ2(C)1ᡈ2(D)1ᡈ)2414.n-------7=1i,"◤ÿ
᦮(ᔜᑖḄᨬᑖ)ᑖᡠḄ᦮XX—1()(A)X—1(B)x(X—1)(C)x(D)x+15.ᐜ▅)*☢,
x+KL=2Ḅ/
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DᓄF+y=0=(5;6),
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M,=(5N6)ᡠx=2OC
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41)x=2x+2=02)y/x—2=1—x3)y]x-3+y/x—2—04)y/x+1+2=05)111V-+—7=06)--+1=-7ᐹSᨵoᦪ,Ḅ
ᨵ()XX—1X—1X—1(A)0(B)1(02(D)qr29v12.
-1=-7Ḅ,O()x—4x+2(A)-1(B)2ᡈ1(C)2ᡈ3(D)3Y-3m3.Iᑖ,xḄ
J=-7Jwxy᪷ᑣmḄ{|r()X—1X—1(A)-2(B)-1(C)1.(D)24.
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4/(m—l)x+3=2x—15O᪷
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412x+l—Q=43xx^l(1)2x"-7x+51-x2x-5x2-13x217iফ-2

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2x+3=-xḄ,O_______,
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2x—3x2+4,3x2—2x+5+1=0D?y=.
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./ஹ1x+2x+411(1)92—4(2)■2=—+1X—2xX+2XX+2X,ஹa—x4(b+x)/.ஹ(3)———5(a+b^O)(4)y]2—x+d5-4x=2b+xa—x(5)2x~~4x—2x—4=10(6)4(x'+f)—5(x-g)—14=0(7)3x2+15x+2-\/3X2+15X+1=26.¦ᐵrxḄ
ᔁ--+1wxy᪷¨mḄ{஺x-ZxXmª{JᐵrxḄ
«-¬=®wxy᪷஺x-zx-4x+27.Iaª{J
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B+-x[x=)-=0ᨵ,

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48