切线斜率与割线斜率 练习题（解析版）

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13)*ᦪ/Ax+=x+1Ḅ"᝞"23y=x©yªP«Ḅᩩ®3"¯°±஺9ᙠ²³▲µ,Xk2eAl,+oo+,±஺ᙠ²▲µ"23PQº?ᦪ»ᑗ"8ᑗ9A᳝,"%+,¿*+=1J"ᑣÀa?=+,°µÁ=—3,ᵫ0Ä-3,”+"ÅBMeÄ-3,y+஺ᦑRᫀTÄ-3,+8+஺È⚪ὃÊ231h9r⚪"ὃÊ23?ᦪᨵËᐳ9r⚪஺A1+231h9µ"23:;{vᐵÎᡠÏ]ᦪḄ¡⚗f"ᯠᵫឤef0¥\h9iA2+23?ᦪᨵËᐳ9r⚪")*ᦪÐ23"ᑭᵨÑÒᔜÔº*ÕḄÖ×"2Ñv"ᨵØÎa⚪஺15.A2021ᐰÛµÜÝ+ᦪy=/Ax+Bd9Aß/+,8A஽"á+ᜐḄᑗ3Ḅ4᳛ᑖãPẑ"å"æh᜛AABX1Mëìíî3y=fAx+ᙠ9AஹBðñḄ“:óîô”.8î3yxB7d9AAXI"y+,8Aö,%+"÷᳝஽=1,ᑣ8A48+ḄLMOP.

14ூRᫀ௃(0,ூ§a௃¯y'="+l,ᡠû=*+1,=*+1,ᵫ⚪ü|ẑ|=þ"ÿ|,|Afi|=J(X_/)+(e$-e*+%I,%=1,ᡠ|A8|=Jl+(e”-1+1)2,ᦑ?A,B)==/K-e|>0,$“=H'("',ᑣ᜛(4B)=.+2஻+2=2,\AB\-Ql+(e'2+13)211u2஻+2N20,ᡠ᜛(A2B)=5678ᫀ(0,:1].u஻+—+2ஹ2u?@AB8C⚪ḄᐵGH᝞JᳮB“LMy=/(x)ᙠ?48QRḄ“STULV””WXᭆZḄX[\,ᯠ^_`aᭆZbcde᪗gᦪ஺(43)=k/=-21lmnᣚᐗqᐸstuvwxyIMF(/+(|2_/2+1)2)2ᓄ2ᨬ^ᵨCwtgᦪḄᨬ⚪B.ᙠὃX[\2ᵨXᭆZḄXᑖ᪆⚪B⚪ḄX.16.(2021•ᓭ•ᓅ¡ᜧ¤¥¦▬¨©¤ª«¬©)®gᦪ஻x)=alnx+g,XG[1,2],gᦪy=/(x)´µ¶·?ḄᑗMḄ¹᳛஽Ngឤᡂc2ᑣ஺Ḅ¾¿H___________.ூ8ᫀ௃ூᑖ᪆௃ᵫ®Ãxe[l,2]ឤᡂc2uvÄÅᑖÆxe[l,2]ឤᡂc2Çg(x)=5x+2,XZZX/XÉ2ᑖ᪆ᐸᓫËឋ2gᦪg(x)Ḅᨬᜧ2ᵫwtḄឤᡂcÍÎÏ8ᫀ.ூÐB௃,gᦪ2(x)=alnx+g,=,••,y=/(x)´µ¶·?ḄᑗMḄ¹᳛k>1ឤᡂc2Ñ[25,Ò41,2(ឤᡂc25.425Ò+12x«l,2]ឤᡂc2Çg(x)=5x+Lᑣ᱄[6=(+0)(Ö)2ᡠ×1cxeÙÚ2g.(x)<(),×0cx<2Ú2g'(x)>஺2ZX''oÝ2

15ᡠg(x)=5x+JᙠÞ12&à¶ágᦪ2ᙠÞ62à¶âgᦪ2333ãg(l)=g(2)=$,ᡠg(x)ḄᨬᜧA2«äᦪ”Ḅ¾¿H|2+8).ᦑ8ᫀA■|2+0°).ூ?@௃᧕┯?@AC⚪é⌕ὃdÉᦪḄëJì5wtឤᡂc⚪w®?2gᦪḄᑗMTíḄîA(1)✌ᐜ6ᑨòᡠó?HHᑗ?2᝞ôH2⌕ᐜÇᑗ?.(2)ᑗ?õᙠögᦪḄ´µ¶÷ᙠᑗM¶2Ïqᑗ?øᐭúὅḄgᦪB᪆tbcTíü.(3)ᙠᑗ?ᜐḄÉᦪþHᑗMḄ¹᳛2WHᑗMTíᨬÿ⌕Ḅᩩ.17.(2021•ᓅ⚜)ᦪf(x)=2*,g(x)=x2+ax(ᐸa£R).$%&'(Ḅ)f(x.)-/(xஹ))-)ᦪX+,x,,m=yTj,n2,2ᨵ᝞56⚪82জ$%:;&'(Ḅ)ᦪX10?2ঝ$%:;ḄaA:;&'(Ḅ)ᦪXi,x,=ᨵn>0?2ঞ$%:;Ḅa,Dᙠ&'(Ḅ)ᦪXi,x,FGm=n;2ট$%:;Ḅa,Dᙠ&'(Ḅ)ᦪJ,x,FGm=-n.2ᐸL6⚪ᨵ(ᑏNᡠᨵL6⚪ḄPQ).ூSᫀ௃জটூVW௃$%জ0ឤᡂ]<ᦑজ_`$%ঝ0ឤᡂ]<ᓽh(x)ᓫ⌴zᦪ<

16eX-»+8i½*+¾)ឤᡂ],ᑣ)ᦪ஻7Ḅa}ÁY______.\e]%)-xXjx22ூSᫀ௃(e<4]ூᑖ᪆௃$f(x)ÄᑨÆ/(x)ᙠ1஺¶]ÇḄᓫឋ<È$&(ÉÊY/ಘ->/(%)-£•<È᪀⌼Ïᦪg(x)=஻x)-g,᪷ÑᓫឋḄ´vᑨÆg(x)ᓫ⌴x<Èᵫg'(x)WOឤᡂ]<ÔᓄYᨬ}¤⚪ᓽvÄW.ூVW௃1—21nxXY/(©=-2xx(l-21nx)=4x+4xlnxY(#lnx),ᡠ×ØÙ=XY,ᡠ×/'(x)<0,vG"r)=E|ßᙠ(ojᓫ⌴x,XYv<àá(0,8,ᡠ×2>0,ᡠ×&â,?âvÊY&ã,ä>å2,ᑣ/(x)i3,X2A1ᡠ×r&)/(Y)>”ᢝ,ᓽ/ಘQ,

17ng(x)=/(x)-?,ᑣg(9)>g(xj,ᡠ×g(x)=஻x)-?ᙠᓫ⌴x,ᡠ×g'(x)40$%xe[o(ឤᡂ]?
ᓄ@ᐗBC=>?ᔠ5D@ᐗBCEF᪷ḄᑖI7J'⚪.(3)LMᣚ1"OPᐗQMᦪPᣚ12᪀⌼TMᦪPUḄ#ᦪ᪷VWPUḄXZᑡ?7@\]^_ᩩabcdḄZefᡂᐵ6dḄ#ᦪᑭᵨ#ᦪḄᓫkឋ7.19.(2021•qrsᓭ•uvᨴὃ)ᦪᑡyzᐳ12⚗}4=1,4=2,ᐵ6xḄ#ᦪ஺(=(*+("+1,+,:x=%(14"411)#ᦪḄ᩽0}Ḅy"(x)ᙠ0(%£(%))ᜐḄᑗḄ᳛3,ᑣᩩaḄᦪᑡyqḄᦪ.

18ூᫀ௃336ூᑖ᪆௃ᵫ⚪¡c|஺ᔣ@4|=1,᪷VᦪḄ¤¥¦ᓽ¡§=஺ᡈ4,ᑖ¨©ªᓽ¡ᩩaḄᦪᑡ«Ḅᦪ.ூ¬7௃(x)=3-4¯2+(/-1+1,ᑣ°'(x)=x2-2a“x+(a³-l)=(x-4“)2-l,ᵫµ¶¡(%”@¸@1=0,ᑣ|qᵨ@ভ=1.ᵫ⚪¡£'(42)=(«i2-%)2T=3,¡|42-%|=2,³%=2,¡½2=஺ᡈ4.জ¿“2=0À§_q=(%)+(q—Ã)+(2_4)=2_]=1,¡a-a,,(i=1,2,3)Ḅᨵ21,1-1,MÆ_4=(Ç-4)+(%-6)+,••+(/-%)=()-2=-2,¡¶1-4஺=Ḅᨵ5-1,31,8Àᦪᑡy4ḄᦪC³C³=168³ঝ¿Ì2=4À=(%-4)+3-%)+(4-%)=2-1=1,¡«,-a,.(/=1,2,3)Ḅᨵ21,1-1,+lট@%=(a-a)+(a-a)+---+(a-a)=0-2=-2,546512ll¡a-a,(i=4,5,…,11)Ḅᨵ5-1,31,M8Àᦪᑡy%Ḅᦪ/½=168.ÏÐᡠÒᦪᑡyzḄᦪ168+168=336.ᦑᫀÔ336.ூ0Õ௃ᐵÖ00ÕÔ×⚪ὃØᦪᑡᦪḄ77⚪ḄᐵÖᙠ6ÙÚ᜜ḄḄᦪᔠÛᔠÜᦪWᳮÞᑖ¨ß"ÜᦪWᳮ7.

19