Ib lub voj voog sau hauv daim duab peb sab hu ua incenter, thiab muaj qhov chaw hu ua incenter. Ib lub voj voog uas kos sab nraum ib daim duab peb sab yog hu ua circumcircle, thiab nws qhov chaw yog hu ua lub voj voog. Luag nyob ib ncig ntawm lub vertices ntawm daim duab peb sab kom pom qhov chaw nyob qhov twg.
Lub voj voog thiab qhov nruab nrab ntawm daim duab peb sab yog dab tsi?
circumcenter O, qhov taw tes uas yog qhov sib npaug ntawm txhua qhov vertices ntawm daim duab peb sab; incenter I, qhov taw tes uas yog sib npaug ntawm ob sab ntawm daim duab peb sab; orthocenter H, qhov taw tes ntawm txhua qhov siab ntawm daim duab peb sab sib tshuam; centroid G, taw tes ntawm kev sib tshuam ntawm qhov nruab nrab ntawm daim duab peb sab.
Dab tsi yog qhov sib txawv ntawm kev tsim lub voj voog ntawm daim duab peb sab piv rau tsim qhov incenter ntawm daim duab peb sab?
Kom kos lub voj voog tsim ib qho ob qho tib si perpendicular bisectors rau sab ntawm daim duab peb sab. Lub ntsiab lus ntawm kev sib tshuam muab lub circumcenter. Ib tug bisector tuaj yeem tsim tau siv lub compass thiab ncaj ntug ntawm tus pas ntsuas. … Txhawm rau kos qhov nruab nrab ntawm daim duab peb sab, tsim ob lub kaum sab hauv ntawm daim duab peb sab.
Orthocentre formula yog dab tsi?
Lub orthocenter yog qhov kev sib tshuam rau txhua qhov siab ntawm daim duab peb sab. Qhov siab tsis muaj dab tsi tab sis txoj kab nruab nrab (AD, BE thiab CF) los ntawm ib sab ntawm daim duab peb sab (xws li AB lossis BC lossis CA) mus rauqhov opposite vertex. … Vertex yog lub ntsiab lus uas ob kab kab sib ntsib (A, B thiab C).
Puas yog lub voj voog sib npaug ntawm qhov chaw?
Tus vertices ntawm daim duab peb sab yog qhov sib npaug ntawm qhov chaw.
