13.4课题学习 最短路径问题 答案－八年级上册初二数学【教材解读】(人教版)

CD8,1'8! !#!1!+,!*'&ñ%no&�Á|7+�F! -.$7+,!$+,3!$,39!$390!'! ÁEFI#56!*'(&7',!'8!34# 56�5%ÑÒCempFI#56%� RÐ5%�O"GE!'8!"'8!#'8!+'8!'! Åno&ñuæFI#56Ð5E1'8Ä! qBDë&ñ!Q4�]D&ñ13! !$!+!"!#klK!#!#.1! lK!#!#.1 &'$7(*�$&'7E(94:;<!  _7(R]&*-M_! +,7*,7(,7',7&!(!,(",)'8! +,(+,(*! �&'(+((*,(",)'8! +,(+,#'8! Ï�!(),#'8! &'(&+',(+(()! +,(&+',)'8! ""#klK!#!#.5! lK!#!#.5 &'$*(7�$&'7E(94:;<! +,7*,7(!7',7&!(!,(",)'8! �&'7*,7&! +,7*,7'!7&,7(! +,(+,(*!(),(0! &'(*7',(!((#!(&7(,("( (#!+,(*7',(&7(! &'(+((*((*7',!1'8! ()((0((&7(,!1'8! +,"(*,"()!+,(*,()! &'(&+',(1&(*!(1,("(()! +,(&+',("(()&(*,("! +,(&+',)'8! !#!+!K/LM!NOPQR/ !!+!klK!#!+.!!®_& do(* -Â+ _&8!ÐÑ&8'n(* o_0!_0 �' +Û®-_! lK!#!+.! "!+!"!#[\®_(do7&!7' -Â+_ 0!1$ ""#ÐÑ01![ 7&o_*!n7'o_+! Z(0*0+0('+Û-ø�zR!kl K!#!+."+�! lK!#!+." #!+!klK!#!+.#+�!Ù�c(0)0:0 *-zR�!�z{dî! lK!#!+.# $!+!klK!#!+.+!y_& ®&,*(*!  &,9oef!y_' ®'3*(+! '3 9oef!ÐÑ3,![\�eg�no_ )" +8!*8!Z**8!++8[\'Dhi-ö÷! lK!#!+.+ !!.!+,!*'t' 9t'8V;Jq>a '!Ít(r>m!-.(',('8!M*' &'8Ü>;t(!Í7,Jq�Üù\�R Üt!-.('8((& Tr!)(&((' % UT=!÷øþa'ðTrs¤tcÞ¬' %7t8?!qwTr&!R³�Þ¬uv!w êÄ÷ø#56%7$89:;"#$!1 2.! "!. #!4!+,!L�lt)V;7&!7'%a' t*!(!çè(*!L�Ü7&!7';t0! 1!çè7(!7*!jkg!#!+.*-g! lK!#!+.* *'t)V;7&%a't't*! -.)0,*0!7),7*!(*7&,()7&! *'t)V;7'%a't't(! -.)1,(1!7),7(!((7',()7'! -.7(,7),7*!(&7', ! "((7*! *'$)01 S&%T=UE*$%! -.)0()1(01,*$%! -.*0((1(01,*$%! )(*,*$%! M*'7(,7),7*,*$%! -.7(,7*,(*! )$7(*EF$#56! -.((7*,)'8! -.(&7',#'8!124! $!+!klK!#!+.)!jëklx+, mnþ oMpl!̂ ®_'do­R+,-Â+_ 0!ÐÑ&0 n+, o_)!qokl!ëk lqL+,4-_)!h6ëkl¡qor ls4+,!mnþ�oMpl! lK!#!+.) %!+!klK!#!+.0"�#K#!®Á&_do 01 -Â+_&8!ÐÑ&8'n01 o_)! Z&)()'ü(dîzR! lK!#!+.0 &!+!klK!#!+.1+�!®_&do­R@ -Â+_&8!_'do­R--Â+_'8! ÐÑ&8'8n­R@ o_)!n­R-o_ :!Zt&0)0:0'zR�-z{dî! lK!#!+.1 '!+!"!#®(&7'-�[R70$ ""#®_(do70 -Â+_(8$ "##ÐÑ(8*n70 o_)!_)'+Û® *" -_!klK!#!+.5! lK!#!+.5 (!+!klK!#!+.!'!y_& ®&&!*>!!  &&!,01!ÐÑ&!'n>" o_1!y_1 ®01*>" n>! o_0!ÐÑ&0!Z@5 &0(01('1 dÙ! lK!#!+.!' ($)*+, !!.!"!4!#!. $!4!+,!F$#56%xR�5ÁE)'8! b#56%�5%ÑÒ!e(!,)'8( !1'8&("!((!((","+'8!124! %!3!+,!*'&(,&*!'(,'*!-.t &!'rqw(* %vJ�Lqm!