学霸们,求详细过程。 50
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左图上α,A.C;下β,D,B;
AB交CD于S;
α//β,∴AC//DB,
∠A=∠B,∠C=∠D
△ASC∽△BSD,[AA]
SB:SA=SD:SC
(SB+SA)/SA=(SD+SC)/SC
SC=SA*CD/(SB+SA)=18*34/(9+18)=68/3;
右图下α,A.C;上β,D,B;
AB交CD于S;
α//β,∴AC//DB,
∠SAC=∠SBD,∠S=∠S
△ASC∽△BSD,[AA]
AS:BS=CS:DS
(AS-BS)/BS=(CS-DS)/DS
DS=BS*CD/(AS-BS)=9*34/(18-9)=34;
SC=DS+CD=34+34=68;
左图上α,A.C;下β,D,B;
AB交CD于S;
α//β,∴AC//DB,
∠A=∠B,∠C=∠D
△ASC∽△BSD,[AA]
SB:SA=SD:SC
(SB+SA)/SA=(SD+SC)/SC
SC=SA*CD/(SB+SA)=18*34/(9+18)=68/3;
右图下α,A.C;上β,D,B;
AB交CD于S;
α//β,∴AC//DB,
∠SAC=∠SBD,∠S=∠S
△ASC∽△BSD,[AA]
AS:BS=CS:DS
(AS-BS)/BS=(CS-DS)/DS
DS=BS*CD/(AS-BS)=9*34/(18-9)=34;
SC=DS+CD=34+34=68;
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