In equilateral daim duab peb sab abc?

Cov txheej txheem:

In equilateral daim duab peb sab abc?
In equilateral daim duab peb sab abc?
Anonim

ABC yog daim duab peb sab sib npaug, qhov twg D taw qhia rau sab BC hauv txoj hauv kev uas BD=BC/3. Cia E yog taw tes rau sab BC li AE⊥BC.

Yuav ua li cas Trisect ib daim duab peb sab sib npaug?

Tau trisect daim duab peb sab qub, peb yuav tsum faib daim duab peb sab loj (AIC) ua ob daim duab peb sab sib npaug. Qhov no tuaj yeem ua tiav los ntawm kev nrhiav qhov nruab nrab ntawm txhua sab ntawm daim duab peb sab thiab tsim cov ntu los ntawm lawv mus rau qhov rov qab vertex. Ob txoj kev tuaj yeem pom hauv qab no.

Koj ua li cas ua pov thawj tias daim duab peb sab ABC yog daim duab peb sab sib npaug?

Peb paub tias txhua sab ntawm daim duab peb sab sib npaug sib npaug, txhais tau tias hauv daim duab peb sab ABC, peb muaj AB=BC=AC. Peb paub tias cov kaum sab nraud ntawm qhov sib npaug ntawm daim duab peb sab yog sib npaug. Yog li, ntawm no peb muaj sab AB sib npaug rau sab AC, txhais tau tias ∠B=∠C………

Puas yog tag nrho cov kaum hauv ib daim duab peb sab sib npaug?

Sal ua pov thawj tias lub kaum sab xis ntawm daim duab peb sab sib npaug yog tag nrho congruent (thiab yog li ntawd lawv txhua tus ntsuas 60 °), thiab qhov sib txawv, cov duab peb sab nrog txhua lub kaum sab xis yog sib npaug.

Dab tsi yog sab ntawm daim duab peb sab sib npaug?

Hauv geometry, daim duab peb sab sib npaug yog daim duab peb sab uas tag nrho peb sab muaj qhov ntev tib yam. Nyob rau hauv cov Euclidean geometry paub, ib daim duab peb sab equilateral kuj equiangular; uas yog, tag nrho peb lub kaum sab hauv kuj muaj kev sib koom ua ke thiab yog txhua 60 °.

Pom zoo:

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