Bisector nke a triangle na ya Njirimara

N'etiti ọtụtụ achị n'ụlọ akwụkwọ sekọndrị nwere ndị dị ka "jiometrị". Kemgbe ụwa, e kweere na ndị nna nna nke a Ịhazi sayensị bụ Grik. Ka ụbọchị, Grik jiometrị akpọ elementrị, ebe ọ bụ na mmalite nke ọmụmụ nke mfe iche: ụgbọ elu, e, mgbe polygons na triangles. Ke akpatre anyị ga-akwụsị gị ntị, kama na bisector nke a ọnụ ọgụgụ. N'ihi na ndị m echefuwo, na bisector nke a triangle bụ a nke bisector nke onye nke akụkụ nke a triangle, nke abahade ya na ọkara na enyekwara n'elu a ebe dị n'akụkụ nke ọzọ gafere.

Triangle Bisector nwere ọtụtụ Njirimara na mkpa ka ị mara mgbe emeso nsogbu ụfọdụ:

• Bisector-anọchi anya locus nke ihe na hà anya remote si n'akụkụ n'akụkụ aka n'akụkụ.
• Bisector nke a triangle abahade ndị na-abụghị akụkụ site na nkuku n'ime agba na-proportional ka n'akụkụ n'akụkụ. Dị ka ihe atụ, nyere triangle MKB, ebe K aga si n'akụkụ bisector ijikọ vertex nke n'akuku ruo n'ókè A na-abụghị n'akụkụ MB. Mgbe ha nyochasịrị ihe onwunwe na anyị triangle, anyị nwere MA / AB = Mak / KB.
• The mgbe na nke irutu ihe bisector nke atọ akụkụ nke a triangle bụ center nke a gburugburu na e dere na otu triangle.
• Base bisectors otu mpụga na abụọ esịtidem akụkụ ndị na otu ogologo akara, ọ bụrụhaala na mpụga bisector nke n'akuku-adịghị ẹbiet ndị na-abụghị n'akụkụ nke triangle.
• Ọ bụrụ na abụọ bisectors nke a triangle hà, mgbe ahụ triangle bụ isosceles.

Ọ ga-kwuru na ọ bụrụ na atọ nke bisector, na-ewu nke a triangle na ha, ọbụna na-enyemaka nke a compass, ọ gaghị ekwe omume.

Ọtụtụ mgbe mgbe idozi nsogbu bisector nke a triangle bụ amaghi, ma ọ dị mkpa iji chọpụta ya n'ogologo. Iji dozie nsogbu a, ọ dị mkpa ịmata na n'akuku, nke a na-ekewa na ọkara bisector nke, na n'akụkụ a n'akụkụ nke akụkụ. Na nke a, chọrọ ogologo na a kọwara dị ka ndị ruru nke ugboro abụọ nkuku n'akụkụ ngwaahịa n'akụkụ na cosine nke n'akuku nke bisection na nchikota nke n'akụkụ n'akụkụ nkuku. Dị ka ihe atụ, nyere niile ahụ MKB triangle. Ọ-eche nche na ndị bisector nke n'akuku K na CF irutu n'akụkụ na mgbe A. The n'akuku site na nke bisector na-denoted y. Ugbu a anyị dee niile na kwuru okwu dị ka a usoro: Ka = (2 * Mak * KB * cos y / 2) / (Mak + KB).

Ọ bụrụ na ogo nke n'akuku site na nke triangle bisector, bụ amaghi, ma niile mara na ya n'akụkụ, iji gbakọọ bisector n'ogologo, anyị ga-eji ihe ndị ọzọ agbanwe, nke anyị na-akpọ semiperimeter na denoted site n'akwụkwọ ozi P: P = 1/2 * (Mak + KB + MB). Mgbe ahụ mee mgbanwe ụfọdụ na n'elu usoro, nke a kpebisiri ike site bisector nke ogologo, ya bụ, na numerator ịtọ ugboro abụọ na square mgbọrọgwụ nke ngwaahịa nke ogologo n'akụkụ n'akụkụ aka n'akụkụ, na karịsịa semiperimeter ebe semiperimeter subtracted si ogologo nke atọ n'akụkụ. The denominator na-ekpe na-agbanweghi agbanwe. Na usoro ụdị a ga-apụta dị ka: Ka = 2 * √ (Mak * KB * P * (P-MB)) / (Mak + KB).

Bisector nke nri triangle nwere otu Njirimara dị ka na mbụ, ma, e wezụga ndị na-ama mara, e nwere ọhụrụ: bisector nkọ nkuku na nrutu nke a akụkụ anọ triangle etolite n'akuku nke 45 degrees. Ọ bụrụ na ọ dị mkpa, ọ dị mfe iji gosi na, na-eji Njirimara nke triangle na n'akụkụ angles.

Bisector nke isosceles triangle na izugbe Njirimara na nwere a ole na ole nke ya. Ka anyị cheta na ọ bụ n'ihi na triangle. Ndị dị otú ahụ a triangle abụọ n'akụkụ na-hà, na ndị n'akụkụ isi angles. Oputara na bisector, nke imi na n'akụkụ nke ihe isosceles triangle hà. Ke adianade do, bisector, ama esịn ke mkpụrụ, na n'out oge na-elu na etiti.