ABC is an equilateral triangle, D is a point on the straight line BC, ADE 60, CE AB

Updated on educate 2024-05-22
8 answers
  1. Anonymous users2024-02-11

    1. Proof : take the point F on AC, make CF=CD, connect DF ACB=60°, DCF is an equilateral triangle

    1+∠ade=∠2+∠ace,∠1=∠2.△adf≌△edc(aas).

    ce=af.

    cd+ce=cf+af=ca=ab

    2. CD, CE, CA meet CE+CA=CD;

    Take CF=CD from the CA extension cable and connect it to DF

    ABC is an equilateral triangle, ACD=60°, CF=CD, and FCD is an equilateral triangle

    1+∠2=60°,∠ade=∠2+∠3=60°,∠1=∠3.△dfa≌△dce(asa).

    ce=fa.

    ce+ca=fa+ca=cf=cd.

    i.e. CE+AB=CD

  2. Anonymous users2024-02-10

    1) Prove: Take the point F on AC, so that CF=CD, ACB=60°, DCF is an equilateral triangle

    3 + 4 = 4 + 5 = 60°

    1+ ADE= 2+ ACE, 1= 2 in ADF and ECD, 1= 2, 3= 5,CD=DF, ADF EDC

    ce=af.

    cd+ce=cf+af=ca.

    2) Solution: CD, CE, CA satisfy CE+CA=CD; The proof is as follows:

    Take CF=CD, ACD=60° on the CA extension line, and do the cavity search, and FCD is an equilateral triangle

    In DFA and DCE.

    f= dce, df=cd, 1= 3, dfa dce ce=fa

    ce+ca=fa+ca=cf=cd.

  3. Anonymous users2024-02-09

    1) Extend EC to F, so that the liquid is cf=cd, and the connection DF is easy to know: CDF is an equilateral triangle, ACD= EFD=60°,CD=FD, ADC= ADE+ CDE=60° CDE, EDF= CDF+ CDE=60° CDE, ADC= EDF, ADC EDF, CA=FE=CF+CE=CD+CE

    2) C=Ca+CE, extend AC to F, connect AE, EF, and it is easy to know that CEF is an equilateral triangle, ade=60°, ace=120°, A, C, E, D four-point contour, fae= cde, aed= acd=60°, AEF= AEC+ CEF= AEC+60°, dec= AEC+ AED= AEC+60°, DEC= AEf, and CE=FE, so DEC AEF, CD=FA=AC+ce,

  4. Anonymous users2024-02-08

    Good boy, do it yourself. There are benefits to using your brain more.

  5. Anonymous users2024-02-07

    The ground floor is wrong, that's all I can say.

  6. Anonymous users2024-02-06

    No change. ∠abc=∠ebf=60°

    Panicle abc- ebc= ebf- ebc, i.e. abe= cbf

    AB=BC, BE=BF

    Sakura code ABE is equal to CBF (corner edge).

    ae=fc, that is, ae fc=1 is the value of Dingnasong.

  7. Anonymous users2024-02-05

    No change. Proof: abc and bef are equilateral triangles.

    ab=bc be=bf

    abc= ebf

    abe= ∠abc- ∠ebc

    cbf= ∠ebf- ∠ebc

    ABE= Blind Burning CBF

    In ABE vs. CBF.

    ab=bc, abe=cbf

    be=bf, so abe is equal to cbf(sas)ae=fc

  8. Anonymous users2024-02-04

    The inscription is wrong, how do you take the point f? Is ae a dynamic value and dc a fixed value? There is no picture and no truth.

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