成人高考数学(高起专)重点

《成人高考数学(高起专)重点》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

2019ᡂὃᓣᦪ1ᔠ᧕
1ஹஹ⊡1ஹᔠAᔠBḄAHB,AஹBᔠḄᐳᐗ2ஹᔠAᔠBḄAUB,AஹBᔠḄᐰᐗ3ஹ⊡ᐰU,ᔠAḄ⊡C“A.UᡠᨵAḄᐗ᪆ᔠḄᡈ#⌕%ᑡ'(ᡈ)*Ḅ+*,-
2/᧕12ᭆ4ᙠ!"ᦪ#⚪%&''ᵫᩩ*ᵬ,-./0ᑖ᪀ᡂ&ᑏᡂ“᝞6ᵬᡂ7&89.ᡂ7”஺<=>#⚪&ᑣᵬ@AB.&“ᵬ=ு.”E<=Ꮇ#⚪&ᑣᵬAGB.&“ᵬ.”஺⚪HIᑨK#⚪ᵬL#⚪.ḄM9ᩩ*&N/O☢BQIজᐙᑖᩩ9:ᵬ<ᔲ>?,@ঝB⌕ᩩ9:@<ᔲ>?,ᵬAஹ<ᵬ=R.S.&ᵬ&ᑣᵬL.ḄᐙᑖU⌕ᩩ*Wᐙ⌕ᩩ*RBஹ<ᵬ஺.S.Xᵬ&ᑣᵬL.ḄᐙᑖGU⌕ᩩ*Cஹ<ᵬ.S.=Rᵬ&ᑣᵬL.ḄU⌕Gᐙᑖᩩ*Dஹ<ᵬX.S.Yᵬ&ᑣᵬGL.Ḅᐙᑖᩩ*ZGL.ḄU⌕ᩩ*ᢈD@ᐜᑨKᵬஹ.#⚪Ḅ]ᜧ_&`ab“ᜧGHGIHGIᜧG”ᑨKᵬஹ.cdABef2GghGghi
1)*ḄឋL1.Ggh/jklᡈn!"ᦪ&GgoOᔣGq2.Ggh/jkrᡈ◀!"tᦪ&GgoOᔣGq3.Ggh/jkrᡈ◀!"uᦪ&GgoOᔣᦋq“>”q“<”᪆)*MNOᡈNP#⌕ᵨRᐗRS)*ᡈRᐗTS)*U⚗WᔠNX⚗Y☢
2RᐗRS)*1.wxIyᨵ!"{ᦪ&|{ᦪḄᨬ~ᦪL!ḄGgh&!ᐗ!Ggh஺2.I⚗ஹᔠk⚗Wᨵ{ᦪḄᑮj&ᦪ⚗ᑮj&o⌕QᦋqR஺3.᝞I6x+8>9x-4,x?xḄ⚗ᑮj&ᦪ⚗ᑮj&qᡂ6x-9x>-4-8,ᔠk⚗-3x>T2,/jk◀-3x<4WᦋqoR஺
3RᐗRS)*]4.wxIᵫ"!ᐗ!GghᡠiᡂḄGghi&!ᐗ!Gghi5.IB"!ᐗ!GghḄ&ᨬ"!ᐗ!GghḄWᐳ0ᑖR஺

1Y>5Y<*5জ=£x|x>5¦kᜧ§ᜧঝ=£x|x<3¦k_§_x>3[x<3x>5ঞ=0ᜧᜧḄ__Ḅ&§®x<3<5xট=£x[334Iᨵ²³ḄGgh1.wxIᨵ²³oḄGgh&᝞I|x|ீa,|x|>aHGgh¹ᐸ஺2.ᓫ²³GghḄI|x|>aḄL£x|x>aᡈx<-a¦,ᜧ§/j,ᜧᜧḄ__Ḅ஺|x|ீaḄL£x|-aீxீaR,_§%°E3.¾ᩖ²³GghḄI|ax+b|>ccÃGghax+b>cᡈax+b<-c,k!ᐗ!Ggh!᪵஺|ax+b|0RR2.I^.ax2+bx+c>0Wa>0=ÜR3.ÝÞIW1RᐜßÈ2+ᮞ+஺=஺&BxWÅáOI᪷hஹᓝäcrஹåORA₞᪷hIX\2aW2RBx&ᜧ§/j&ᜧᜧḄ__ḄE_§%°&ᓽ@Bèᫀ஺ÉÊIÃa<0ÆUê⌕Ggh/jkr-1,ëa>0,ᯠᵨî☢ḄÝÞᩭ஺3ᢣᦪ³ᦪ1Iᨵᳮᢣᦪñ1\a"=axaxa…a⊤ôn"acr1ஹ3ஹ=14ஹm___5ஹ
=öm22ü-I96ஹaÕøᐜùúᦪqᡂ᎔ᦪÇuo3Ü:(r=(t=(r=0=7

2
2^Ḅ_`(ᑣ1.x/=o'ᦪᢣᦪᢣᦪ2.£=ᦪᢣᦪ◀ᢣᦪbX3.ax
y=axy4.ab
x=axbx5.'=%᪆bcdNeᦪᢣᦪhiPWi◀Iᵨ)kᦪᑡᓄ/
3mᦪ1.᝞/=Na>0awl
,!"b#$%a&ḄNḄ(ᦪ)*log.N=஺N>0
,,-a#$ᦪN#$.ᦪ஺ᱯ0ᙢ%10&Ḅ(ᦪ#$2ᵨ(ᦪ42)log஺N&IgN5%e&Ḅ(ᦪ#$6ᯠ(ᦪe^2.7182818,42)*InN஺2.89ឤ;<…=N,logah=b103.=9ឋ?>10N=b,N>0,nWoᦪpᨵmᦪ>=AᦪB.ᦪC;D1>log«1=0,A.ᦪ;D1Ḅ(ᦪ;D0
4mᦪḄ_`(ᑣ1.bg“MN
=log,M+log“NM»ஹn2.log—=logM-log„u/3.log.AT=஻log.K.ᦪḄLᦪnM%NᑮP☢ᩭ410g/M=-10g““ᦪḄLᦪnSᡂUM%NᑮP☢ᩭHn5.VVWX"aZ4[\ᦪ
1qᦪḄrstWutXḄ]^`#$\ᦪḄa5yḄ^Ḅbᔠ#$\ᦪḄ^aday=kx+b1.',Wef<ḄaxERy=ax'+bx+c

32.y=-ᑖ0(ᦪḄ.ᦪᜧDkq᪆ὃtCWeudvᔠ8wf<Ḅaᑖxᨬzd{b|ᐳ~ᑖᓽM2\ᦪḄᓫឋᦪ~ᑖ3\ᦪḄ᜻Ꮤឋ1.\ᦪ᜻Ꮤឋᑨ0জ᜻\ᦪ=/W=W/ঝᏔ\ᦪ0/—x=/xঞ᜻Ꮤ\ᦪ2.2Ḅ᜻Ꮤ\ᦪজ᜻\ᦪy=%"஻&᜻ᦪ=5y=tan%ঝᏔ\ᦪy=x"஻&Ꮤᦪ*y=cosx,y=ঞ᜻Ꮤ\ᦪy=a\y=kg஻3.᜻Ꮤឋজ᜻+CWE᜻ᏔঝᏔ+c=Ꮤঞ᜻+᜻=᜻টᏔ+Ꮤ=Ꮤঠ᜻+Ꮤ=᜻Ꮤড᜻*᜻=ᏔঢᏔ*Ꮤ=Ꮤণ᜻*Ꮤ=᜻4WL\ᦪq᪆<y=Zx+bᐸk,b&2ᦪᦇW0஺¡&Wᩩ£¤Ab=0¥y=Zx&¦§¨\ᦪ¡©ª«஺Ak>0C¡¬⌕©ªW®¯▲5Ak<0C¡¬⌕©ª±²¯▲³WL\ᦪ¬⌕´µWL\ᦪq᪆<Ḅd¶஺5±L\ᦪq᪆<y^ax1+bx+c,ᐸa,b,c&2ᦪ“஺0,1ஹAa>0C¡&x¸ᔣºḄ»ᱥ¤⚔ᙶ᪗&-,,(ÀÁx=———,ᨵ2a4a2aᨬÃ^-8,-23&ᓫ⌴ÇÈÉ4-2,+8&ᓫ⌴ÈÉ54஺2a2ah4-cic—h2b2ஹAa<0C¡&x¸ᔣÊḄ»ᱥ¤⚔ᙶ᪗&-♦,(ÀÁx=-,ᨵ2a4a2a

4ᨬᜧ^ᔁÌ,"9+8&ᓫ⌴ÇÈÉ_8,WÍ&ᓫ⌴ÈÉ;be3ஹÏÐᳮX]+Ò=----,2,%2=W2aa6Ó§¨\ᦪy=Ô#$Ó§¨\ᦪx1ஹaxwO2ஹ¥᜻\ᦪ3ஹAk>0C\ᦪᙠÈÉ-oo,0ÒÈÉ0,+8ᑁ¥\ᦪAk<0C\ᦪᙠÈÉ0ÒÈÉ0,+8ᑁ¥Ç\ᦪZ5[ᦪᑡ14⚗|<ÒPn⚗B1ஹ4⚗|<᝞W9ᦪᑡÙa#ḄZn⚗4Ò⚗ᦪnÚÉḄ\ᦪᐵÜM%ᵨW9|<ᩭ⊤Þn,9|<ß#$,9ᦪᑡḄ4⚗|<஺⍝W9ᦪᑡḄ4⚗|<ßM%dá,9ᦪᑡḄᔜ⚗஺2ஹS“⊤ÞPn⚗ÚBᓽS“=%+4+%+…”"ãäᨵ%ÊᐵÜ1'L=S”—S,I*஻N2ᜓæ,9|<¬⌕ᵨᩭᙠj⍝¥ç"ᦪᑡḄèéÊdê,᝞ëì/=dᑣ¥;îᦪᑡ᝞ëì2=஻ᑣ¥;§ᦪᑡ2;îᦪᑡÒ;§ᦪᑡïÀ;îᦪᑡ;§ᦪᑡðZ±⚗xñòW⚗ÒóPW⚗Ḅ§;ðZ±⚗xñòW⚗ÒóPW⚗Ḅî;DW92ᦪ#$;§ᦪᑡ2ᦪ#|DW92ᦪ#$;îᦪᑡ2ᦪ#|§ᵨq⊤Þ஺—%=qîᵨd⊤Þ஺—஻W1±dan-\a=a+(஻-l)d%=6õnx4⚗|m)4=>)஻(q+a“),n(n-l)dPn⚗B|<3÷WW+“212i-q᝞a,A.bᡂîᦪᑡ!"A#$aÒb᝞a,G,bᡂ§ᦪᑡ!"G#$aÒb⚗Ḅ;î⚗ᨵA=*Ḅ;§⚗ᨵG=±Jø2ឋ?ᙠ;îᦪᑡù+஻=p+q,ᙠ;§ᦪᑡùú?+஻=p+q,

5üIJᨵ4,+a“=%,+%ᑣᨵX,,=%,•4Z6[ᦪ
1vᦪ1ஹ=Ký\ᦪᙠ/(X)ᙠ(Xo*y0)ᜐḄᦪ^/'(/)ᓽ&/(x)ᙠ(Xo*y0)ᜐᑗḄ᳛஺ᓽ᝕=/'(%)=tana(aᑗḄ)஺ᜓ⌕ὃ(Xo*y0)Ḅᑗᵨ"#$ᑗ%-%='(-/)2ஹ*ᦪḄ,ᦪ-"c.ᦪ(c)'=0(x")*=i(axn)'=anx"~'(ax)'-a
2qᦪᓫxឋḄᑨzY(ᓫ/⌴1234ᓫ/⌴6231ஹ$,ᦪf(x)2ஹ7/'(x)ு஺9:;"<#ᑮᓫ/⌴1237/'(x)<09:;"ᓽ#ᓫ/⌴623஺
3ᨬuᨬᜧ@4ᨬA@1ஹBC*ᦪḄCD23$,ᦪr(x)2ஹ7/'(E=0*ᦪḄF(Fᓽ/

63Ḅ_*ᦪ1ஹCDᙠ{☢}ᙶ᪗uP(x,y)NaḄmnḄᑮḄr(r=G+y2,r)0),.¡ny¢nXsinci—==—,cos^z=nrnr¡ny¢nXtana=--------=£jcota£¢nX¡ny2ஹḄ_*ᦪᙠᔜy▲Ḅsmacosatan஺4ᱯ¥Ḅ_*ᦪ@30°60°120°135°ᑴ0°45°90°150°180°a717171712஻3TI5Lᑴ071~67T2TTTMV3V3sintz01022VV22V3V2j__V2_73cosa10-122222V3_V3tana01V3:ᙠ-V3-1033V3_V3cota:ᙠ10-1:ᙠ~TV]8^_*ᦪ"Ḅ°ᣚ1p_*ᦪᐵu"{ᐵuNsin~a+cos~a=1

7᎔ᦪᐵuNtana-cot6z=1²³sinaCOS6ZᖪᦪᐵuNtana=-------,cola=cosasina2µ,-"᜻°Ꮤ:°¸y▲¹sin(90°+a)=cosa,cos(90°+a)=-sina,tan(90°+a)=-cota,cot(90°+a)=-tanasin(90°-a)=cosa,cos(90°-a)=sina,tan(90°-a)=cota,cot(90°—a)=tanasin(270°-a)=—cosa,cos(270°—a)=—sin<7,tan(270°-a)=cota,cot(270°—a)=tanasin(270°+a)=-cosa,cos(270°+a)=sina,tan(270°+a)=—cota,cot(270°+a)=-tanasin(180°+a)=-sina,cosQ80°+a)=-cosa,tan(l80°+a)=tana,cotQ80°+஺)=cotasin(180°-a)=sinacos(1800-a)=-cosa,tan(l80°-a)=-tana,cot(l80°-d)=-cota9sin(3600-a)=_sina,cos(360°-a)=cosa,tan(360°-a)=-tana,cot(360°-a)=cot஺sin(A360°+a)=sina,cos(Z3600+a)=cos஺tan(ᦇ360°+Q)=tana,ot(A360°+a)=cotasin(-a)=-sina,cos(-஺)=cos”*tan(-tz)=-tana.cot(-a)=-cota»ᵨµ,-"ᵨr120°ஹ135°ஹ150°_*ᦪ@¼1᝞sinl20°=sin(180o-60°)=sin60°=^-,cos12)°=cos(1800-60°)=-cos6CP=;/yᔊsinl35°=sin(18Oo-45o)=sin45°cosl35°=cos(180°-45°)=-cos45°£Àsin150°=sin(l80°-30°)=sin30°=pcos150°=cos(180°-30°)=-cos30°=-y-3s4ஹÁÂ-"1ஹs4ஹÁsin(a±4)=sinacosÃÄcoscrsinÃcos0±J3)=cosdfcos^+sincirsin0/τAtana±tan4tan(a±/?)=-----------------1+tancr-tan0ᵨs4ஹÁ-"ᵨr15°,75°,135°_*ᦪ@sin750=sin(450+300)=sin45°cos300+cos45°sin300=^-x^-+^-x—=+⊈22224cos7511=cos(45°+300)=cos450cos30°-sin450sin300=-^-x--^-x—=———2222415°=45°—30°ᡈ60°-45°,135°=60°+45°(9⚪ᶍ)

82ஹÂ-"sin2a=2sinacosat—sin2(2=sintz-costz2cosÈ=cos2tz-sin2a-2cos2a-\=l-2sin2a-2tan஺tan2a=-------1-tan-a]9^_*ᦪḄÉÊ4ឋÌ
|qᦪḄᨬHᕜ*ᨬu|qᦪXᕜ*ᨬᜧuᨬHuy=Asin(3r+0)+Bᡈy=Acos@r+0)+3\A\+B-1Í+8T21y/A2+B2-A/A2+52y=Asin(Î+e)+Bcos(ou:+e)জy=Atan(5+°)+Zঝy=sirj2@^y=cos2Z:T=—l^l(3)y=▭pᡈy=1cosÐটy=sin᝖cosÒ]10^9_Ó
1ᵨ|+
\ABC,Aᡠ¡ḄnÔa,Bᡠ¡ḄnÔb,Cᡠ¡ḄnÔc1ஹ_Óᑁ4180°ᓽA+B+C=180°2ஹsnÕ4ᜧr]_nsnÕÁAr]_nᓽa+b>c,a-bbᑣA>B4ஹ}_ÓÖ×Cᳮc2=/+஻.ÙḄÖ×Cᳮ@345]51213]11V2]1Ú2.
1rᳮa2=b2+c2-2bccosAb~-cr+c2-2accosB2=a'+b2-2abcosC

92iÛCᳮ=—2—=-^=2HᐸR⊤Þ_ÓḄ᜜àᙊâã¹sinAsinBsinC3☢ä-"S^=gabsinC=-^acsinB=^bcsinAabc]11^{☢ᔣæ1:ᔣæḄᙶ᪗çèa=
x],yj,஺=&,%2*ᑣ:ᔣæḄëla|=J.2+yjÎtçèa+b=
x,,y,+
x,ì¹=$26tçèa-b=
M,M—
^*í¹=Cyr&'f.ᦪîçèka=Mxi*yJ=k%/xᑁäçèa-b=
%*j-
x,y=x,x+y,j12222ᚖ}ᔣæ2_16=᳝%2+%%2=02ᔣæḄᑁäçèᦪæä¹—►—►.——ZñBḄᦪæäᡈᑁä¹a•Z?=a-b-cos0ᔣ-஺ñbḄᜳ-"cQS<9=if-⁐——ô2%õö2|ᧅ`Jx+W-/a+H3s-"1.sḄ-"û4X[,y,6ü2*ì¹sᐸᵫþ=J
X]-*2+ì%22.-"û4x-y,஺2*
2ḄḄ0Ḅᙶ᪗x,y,|J121Ḅ᳛᳛Ḅk=tana
aḄ᳛k="!"A%,yJ#BX2*M!$%஺

10'ᑴ30°45°60°120°135°150°a717Cᐔ2஻3451)'ᑴ~67TTT~6V3tana1V3-V3-1
2YḄ+**+y=kx+b",-.᳛k/0+Ax+By+C=O"12ᨬ456789Ac0+y-y=k4x-x5,᳛k#:ᙶ᪗"%,ᡭ121>n0
3ᩩḄᐵ6y-kx+b,l8y-kx+b}t222ᩩ@A+kஹ=k?ᩩᚖ+k-k=-1{2
4ᑮḄ*C"D,Eᑮ/+Ax+B*+C=OḄHI+JA^+By2^S\.dVA2+B213ᙊ┵M
1ᙊ1ஹᙊḄ᪗O12P+x—a2+y—Q,ᐸ+STPUᙊVᙶ᪗a,b,2ஹᙊḄ/012P+x2+y2+Dx4-Ey+F=0cdᙊḄRYᓄ᪗Y,¡Wᙊ¢ᙶ᪗Y(W+x2+y2+4x-6y+4=0X1>+/++Z+[2-6[+e=-4+13\ᐰ@1^+"X+22+"X-32=32ᦑSTr=3ᙊVᙶ᪗-2,33ஹᙊeḄfgᐵ¤¥ᙊ¢ᑮḄd§¡rḄᜧHᐵᑨ©dhU஺iI;3=roiᑗ;0e஺erucilmnoᙊVpd=0=ilqnoᙊV

114ஹᙊeᙊḄfgᐵs+toᙊVH4ueᙊST᜜wḄᜧyᐵsᑨ{d°gcf+4Ogh]d,g=6+4O᜜ᑗ]d%0=4-஽=ᑁᑗ]4-஽4mef+஽=gn22|ᙊ@☢ᑁᑮḄHIḄ#ᦪḄḄ+|Pᵨ+62”ᯖḄfᯖᙠX!ᯖᙠY!g᪗O12kFh/iXyop—ឋP2%P2DᯖH=2c,a2=h2+c2aᨬᜧ⚔Ai(-a.O),A(a,O)B,(0,-b),B(0,b)A,(0,-a),A(0,a)B,(-b,0),B(b,0)2222ᯖᙶ᪗Fi(c,o)F(-c,o)Fi(o,c)F(o,-c)22IV᳛e=—(0,=±—cc|ᙊḄ᪗O12+1
ᯖḄfg.᪗O12p"⚪,ᡈtoᯖᙶ᪗ᑮ2
.a,bḄpa,b,c,etoa?=Z?2+/,e=£a3
ᑏ.|ᙊḄ᪗O12஺3M@☢ᑁᑮḄHIḄḄ¡¢ᦪḄḄ+||P6|-ᡝᵨ=2aᯖḄfᯖᙠX!ᯖᙠY!g

122222᪗O12-3=1"-=1a2b2a2b2¦ឋ§P2a,©P3,ᯖHªᵨ=2c,c2=a2+b2"cᨬᜧ⚔Ai(-a.O),A2(a,O)B,(0,-b),B2(0,b)A,(0,-a),A2(0,a)Bt(-b,0),B2(b,0)ᯖᙶ᪗Fi(c,o)F(-C,o)Fi(o,c)F(o,-c)22IV᳛e=—(e>1)aa2a2O12x=±/y=±/c,b,a½¾y=±—xy=±—xab1.M+§e©i"ᓽa=bḄM+h2=஻2ᡈ///=/2.MḄ᪗O12+4ᯖḄfg.᪗O12p"⚪,ᡈtoᯖᙶ᪗ᑮ5.a,bḄp"a,b,c,eto஺2=/+஻e='a6ᑏ.MḄ᪗O12஺3.Å[=V+஺eᙊ┵MlA"x“y,,B"xz,y,ᑣÊ|Aὡ=J"1+r"ᑁ—஽h24+Ðᱥ᪗O12ᯖḄfgᯖᙶ᪗O12¦Òy2=2pxXÓSX--—421°K*rP'20y=-2pxXÔS---ux=—OX(22

13yFx2=2pyyÓSy=0XHl-2rX2=-2pyyÔSy=2__„*ஹ()xÖ+ÐᱥIV᳛e=l஺14᣸ᑡÙᔠஹᭆ᳛ÜÝ1ᑖßÝᦪ>#ᑖÝᦪ>ᑖßÝᦪ>+\ᡂ/áâᨵßä>/ßä>ᵫmæ1>ßä>ᨵnæ1>çèᵨé/ßä>Ḅéæ1>êë\ᡂìáâᑣ\ᡂìáâíᐳᨵm+næ1>஺ᑖÝᦪ>+\ᡂ/áâᨵï/ïᨵmæ1>ïᨵnæ1>ðñ\ᡂìïìáâò\ᡂóô\ᡂìáâíᐳᨵmXnæ1>஺2᣸ᑡ#ÙᔠḄ^᣸ᑡ"ᨵõö^+…"஻/᪷+1=———-m5\W+A]=7x6x5=5x4Ùᔠ"ùᨵõö^+ú'=__m!/%!♦"஻-/77!3A£7x6x5⎃=7x6x5x4=35C===3573!3x2x174!4x3x2xl3iþÿ
Ḅᭆ᳛
AஹB,᝞AᔲBḄᭆ᳛ᨵᑣ!"#$
஺&AஹBḄ
'!A•B()*4$+,-.᝞ᙠ012.3
AḄᭆ᳛!P,45Aᙠn1$+,-.3ា7k1Ḅᭆ᳛!P“4k5=C"Q-P5"T()*589:;᪵=ᦪ?!ᔲ*/*…*X"*ᑣ᪵=Ḅ@ᙳᦪ!%=n᪵=9:!5"=—[X]—X2+X—X2d---F4X—X5~]nnE᪆9:GH⚪JὃᜧMNJ⌕'P

14Qᐰ@9(a+b)2=a2+2ab+b2Qa-b)2-a2-2ab+b2@9:a~-h2=Qa+b)(a-b)

15yᵨᦻ᫏ᦻᫀᜧᐰ