数学思想之数形结合

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123.B¼d½A=[0,4],B=[—4,0],AQB={0}4.D5.B¼d½᝞6.C¼d½BCÊ-(2+2)=&Ḅ@ᦪ%'Í2,ᙠÎ(2,2)KᙊÏÐÑK0ḄᙊÒ|z|⊤dZᑮ஺ḄÓᯠÕZஹᙊÏCஹ஺|ᐳ¯×,lzl5Øᨬ6,JI57.A¼d:T=2X8=16,ᑣ°=ÛÜ~x(-2)+*=ß°=]à08.A¼d½ᙠᙶ᪗á¾ᦪâ=10833,^=1஺82ᐗ)?=2-åḄ᧕Ø஺9.A¼d½ᙠᙶ᪗¾ᦪy=4x+l,y=x+2y=-2x+4Ḅᵫ?f(x)Ḅᨬ10.D¼d½ᵫç¶᧕?z=5x+yè(1,0)×5Øᨬᜧ65.11.B¼d½f(x)=f(-x)=f(2-x),ᦑf(x)Ḅ₝᝞:ëy>x024ᵫ?Bìv஺12.C¼d½zᙊíᯖKF”(᝞)IMF,I=2,.,.1^1=8,îï)ᑮNஹ0ᔜKẆòFR

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14J=᜜ḄᙊḄᑗy+2=Mx-2P,ᑣᨵQᚆ=1,TU%=J1+1382y&-4+7733Zஹ[ᡊ]^ஹ⌱`⚪bᜧ⚪ᐳ12e⚪fe⚪5ᑖᐳ60ᑖ.ᙠfe⚪klḄm/⌱⚗o2ᨵ⚗pqᔠ⚪s⌕uḄ.1.lgx=sinxḄ[᪷Ḅ/ᦪzPA.1/B.2/C.3/D.4/2.ᦪு=஺11"=*+஺Ḅ(ាᨵ./ᐳ$ᑣ[ᦪ2ḄpzPA.(1,+8)B.(—1,1)C.(-00,—1]U[1>+8)D.(—00,—1)U(1+oo)3.0+஻Nxz஺>0PḄT“1m⊈=2஻ᑣaḄzPA.1B.2C.3D.44.£z1,2P0z

15A.sin(1+x)B.sin(—1—x)C.sin(x—1)D.sin(l—x)8.x+log3X=2,x+log/x=2Ḅ᪷ᑖ¸paஹB,²³a"BḄᜧeᐵªp()A.a>pB.aீ6C.a=pD.0»¼.9.᝞½[ᦪXஹy¾¿(x-2)2+V=3,ᑣ2Ḅᨬᜧ()14区V3TCV3T6-2x>0y>010.ᙠÀÁᩩÃ<'Ä3WsW5s᪗ᦪz=3x+2yḄᨬᜧḄÆᓄp()x+y<5y+2x<4A.[6,15]B.[7,15]C.[6,8]D,[7,8]11.0È2—log“x<0ᙠ(o,É)ᑁឤᡂ¢ᑣaḄ()A.[—,1)B.(—,1)C.(0,—)D.(0,—]1616161612.£¤xe(0,4]ᐵÌxḄ2sin(x+g)=aᨵ./01Ḅ[ᦪTᑣ[ᦪaḄp)A.[-2,2]B.[V3,2]C.(V3,2]D.(73,2)ÍஹÎÏ⚪bᜧ⚪ᐳ4e⚪fe⚪4ᑖᐳ16ᑖÐÑÒᫀÔÎᙠ⚪oÕ.13.Ö×1+(-2WxW2)"ᱏr(x-2)+4ᨵ./#$[ᦪrḄ14.ᐵÌxḄ1-41x1+5=஻?ᨵm/0ÜḄ[᪷ᑣ[ᦪmḄ஺15.ᦪy=>Jx2-2x+2+7x2-6x+13Ḅᨬe஺16.ÝÌf/[ᦪx,Jf(x)p4x+l,x+2Þ-2x+4¯ὅoḄᨬeὅᑣf(x)Ḅᨬᜧ.¯ஹTÒ⚪bᜧ⚪ᐳ6e⚪ᐳ74ᑖTÒàᑏlá⌕Ḅᦻãäåஹæå=ᡈ]èéê.17.(12ᑖ)0,4X-X2>(a—l)xḄTA,A[{xIO

1620.(12ᑖ)JÍ(x,y)Iy=yha2-x2,a>0
,ö÷(%஺I(x-l)"+(y-6)'/,<3>0)4G᜛W0,uaḄᨬᜧ"ᨬe.21.(12ᑖ)Jf(x)=Vl+x2,a,beR,a#b.uæ|f(a)—f(b)|<|a—b|.xv22.(12ᑖ)£¤ú1,1)ûᙊ+1=1ᑁ$£ûᙊüᯖ$×ûᙊþ$.u|95PR\+\PA\ḄᨬᜧÞᨬe.ÿὃ
ᫀஹ⌱⚪3.B᪆y=-Jx+ay-xḄ⚪m--a,n-a,Ja+a=ana=0ᡈ2஺4.C᪆=(x—l)2,y=log,x,ᦪ.2(

17a>l,#xe(l,2))⌕+,<./◤+log“22(2-16E|Ja<2,!.l?@(x—16;log“xឤ>ᡂD஺5.A᪆26HIJ4*)=(*-45-0=0Ḅ᪷ᙠPᙶ᪗STUᦪV(X)ஹXYḄ᝞ᡠ\:6.B᪆:IJx+y+l=0⊤\bc,@dJ(x-l)2+(y-l)2⊤\e(1,1)ᑮbcgeḄhijk@dḄᨬmnoHe(1,1)ᑮbcx+y+l=0ḄhiᵫeᑮbcḄhiq@rs.7.D᪆ᵫᕜw.2xy3=1,1X1+4)=y஺=x1.ᡠ{y=sin(x+71—1)=—sin(x—l)=sin(l—x).8.A᪆ᵫ⚪ᨵlog3X=2—x,log2X=2—x,ᙠPᙶ᪗STUy=log3X,y=log2X,y=2—xḄ᧕Q>B.9.D᪆:k=tan60°=1

18(9⚪)(10⚪)10.᪆:r᝞•••34sW5,.•.ᙠTAeBeᜐ᪗ᦪzᑖyᨬᜧnḄᨬmᨬᜧ.ᦑ⌱D.11.᪆:>?@.x2´?·᪷/◤+1ீ¹<5.15.᪆ºJ.2_2x+2=J(x—1)2+]=J(x—1)2+(1_0)2,¼⊤\e(x,1)ᑮ(1,0)Ḅhi½Vx2-6x+13=7(%-3)2+(1-3)2⊤\e(x,1)ᑮe(3,3)ḄhiÀHy=G-2x+2+X2—6x+13⊤\Áe(x,1)ᑮ¶Âe(1,0)ஹ(3,3)ḄhiÃÄᔠ᧕yymin=g஺9Q16.᪆:ᙠPᙶ᪗STǶᦪḄ,᝞ᵫÈf(x)ḄᨬÉe.A(±½),33

19y17.,="x-Y,y=Ía-lÎx,ᐸT%=94x——⊤\{Í2,0Î.ᙊÐ{2.¬Ñ2ḄᙊᙠXÒḄgIḄÓᑖÍᒹÕᙊÖXÒḄ×eÎ᝞Øᡠ\Ù=9—1ÎÚ⊤\ÛeḄbcS>?@“x-x2ுÍ°_Ḅ,ᓽHᦪT¬ᙊᙠbcgIḄÓᑖᡠºÞḄxn஺1Î%ᵫÀ>?@ß4={xio1,!.a>2½.aḄn£.Í2,+00Î஺Í17⚪Î18.âÛIJᓄ.log(x-ak)=logV^2-a2nflx—ak—x~(2~råx—ak>0,x2-a~>0y=x-aᦇ¼⊤\çè.45°ḄbcSY>0½.=G-q2,¼⊤\ᯖeᙠXÒg⚔e.Í-a,0ÎÍa,0ÎḄ?Òì«cᙠxÒgIḄÓᑖy>02

20ÛIJᨵᑣ¶ᦪḄᨵ×eᵫÈ-ᡂு஺ᡈ-஺;-{;0,.•.î;-1ᡈ0;ï;1.½.kḄn£.(8,-l)U(0,1)19.:(1)°Q(1,2)ᑣñ¦2Ḅᨬnᑖ.QeḄᙊCḄᩩᑗcḄô᳛.᝞X—1°PQ:y—2=k(x—1),ᓽkx—y+2—k=0.,\-2k+2-k\.,3+V3„,3-73..1=----/—,..k=------ᡈk=-------.VT7F44y—2,.“3+^31“3-----Ḅᨬᜧn.-------ᨬmn.-------x-144(2)x—2y=b,ᓽx-2y—b=0,.ûübcS,ᑣx-2y=bḄᨬnoHbcÖᙊ´ᑗ).᝞ᵫ1=ª~-yb=—2+V5,ᡈb=-2—V5.V5Ax—2yḄᨬᜧn.2+ᨬmn.2V5.20.:•ßᔠ/TḄᐗÿ᪀ᡂḄ஺ᙊaḄᙊᔠ8Ḅᐗ஺’(1,J5)ᙊaḄᙊ,᝞ᡠ":•.30(0,.•.ᙊ஺)ᙊ0,ᨵ+ᐳ.-ᙊ0)ᙊ0'᜜ᑗ0aᨬ2.ஹᔊa+I00'I=2,.3=29-2-ᙊ஺;ᙊ஺’ᑁᑗ0aᨬᜧ.!.6a-I\001|=2,.,.%=2?+2.

2121.@Aᵫy=Jl+/F,y2-xH(y>x),⊤"ḄKLMKLḄNO,PQMKLḄRSLy=±x.ᙠKLNVWXA(a,f(a)),A(b,f(b)),ᐸ]᳛k,ᵫMKLឋaFIkb1.I'(°)—l<1,If(a)—f(b)|<|a—b|.a-b(21⚪)