Olee otú ịchọta ebe nke a rhombus?

Olee otú ịchọta ebe nke a rhombus? Iji na-enye azịza, ị ga-akpa na-aghọta ihe anyị na-atụle a diamond.

Firstly, a quadrangle. Nke abuo, o nwere anọ hà n'akụkụ. Nke atọ, ya diagonals bụ perpendicular na nrutu ebe. Nke anọ, ndị diagonal nrutu uche na-ekewa n'ime hà akụkụ. Fifthly, otu òkè diagonal nkuku nke rhombus abụọ hà akụkụ. Nke isii, na nchikota nke abụọ akụkụ nke bụ n'akụkụ aka n'otu akụkụ, eme ka elu unwrapped n'akuku, i.e. 180 degrees. Ma ọ bụrụ na ị na-ekwu nanị, na diamond - a sloping square.

Ọ bụrụ na ị na-a square onye n'akụkụ na-ekekọtara flexibly na-adị mfe dọpụta ya abụọ abụghị n'akuku, na square ga-atụfu ya squareness ma ghọọ a diamond. Ya mere, diamond na nri akụkụ - nke a bụ n'ezie square.

The mbụ ịme echiche nke diamond dike na Pappus nke Alexandria, Greek mgbakọ na mwepụ. Okwu "diamond" nke Greek nwere ike sụgharịrị dị ka "drum".

Iji chọta ebe a rhombus, ọ bụ uru na-ewere na ndị diamond - bụ a parallelogram. Na mpaghara nke parallelogram pụrụ ịchọta site amụba n'etiti a isi, nke ahụ bụ direction na ịdị elu.

Iji gosi nke a, ọ ga-ahapụ ide site n'elu elu nkuku nke rhombus perpendiculars. Dị ka ihe atụ, nyere a diamond QWER. Site vertices nke elu nkuku Q na W perpendiculars QT na WY. Na perpendicular QT dara n'akụkụ nke RE, na perpendicular WY bụ na n'ihu nke a n'akụkụ.

N'ihi ya, ọhụrụ tụgharịa QWYT quadrilateral na ukem n'akụkụ na nri akụkụ, nke, dabeere na ndị e kwuru n'elu, ọ bụ omume na-aha n'atụghị egwu rektangulu.

The ebe a rektangulu na-amụba n'akụkụ ma elu. Ugbu a, anyị mkpa iji gosi na ebe nke dapụtara rektangulu ebe kwekọrọ na a nyere ọnọdụ nke a diamond.

Ịtụle nwetara site iwu ọzọ triangles QYR na udu mmiri, anyị nwere ike ikwu na ha bụ ndị na a ụkwụ na a hypotenuse. Mgbe niile ụkwụ nke triangles na-eduzi perpendiculars, nke na n'otu oge ahụ na-abụọ nke dapụtara rektangulu. A hypotenuse - n'akụkụ nke a nke diamond.

Rhombus bụ nchikota nke square nke triangle na trapezoid QYR QYEW. Ihe rektangulu emi esịnede otu triangle na trapezoid QYEW mmiri, onye ebe bụ hà ebe a triangle QYR. N'ihi ya ọgwụgwụ na-atụ aro ya: QWER rhombus ebe uru kwekọrọ na ebe nke a rektangulu QWYT.

Ugbu a, ọ bụ doro anya otú ga-ahụ ebe nke a rhombus nke n'akụkụ na ya elu: ha mkpa ọtụtụ.

Ị nwere ike ịchọta ebe nke a rhombus, a rhombus maara na n'akuku na direction. Ọ bụ naanị na ọ dị mkpa ịmata ihe bụ enweghị nke n'akuku, banu uba ya site ugboro abụọ n'akụkụ. Chọta enweghị ike iji mgbako ma ọ bụ Bradis table.

Mgbe ụfọdụ, e kwuru okwu otú ga-ahụ ebe nke rhombus, iji enweghị nke n'akuku na na okirikiri nke a gburugburu dere na ya, nke bụchaghị bụ kacha.

Otú ọ dị, ihe ka ọtụtụ gbakọọ ebe a rhombus site diagonally. Site na nke a usoro, ọ pụtara na ebe bụ poluproizvedeniyu diagonals.

Gosi na ọ bụ mara mma dị mfe, na-atụle abụọ triangles QWE na ERQ, nke natara n'oge diamond n'otu diagonal. Ndị a triangles hà n'akụkụ atọ ma ọ bụ ala na ihe n'akụkụ abụọ nkuku.

Mgbe ọ nọrọ a abụọ diamond diagonal, anyị na-enweta elu nke ndị a triangles, n'ihi na diagonals irutu na ebe X na n'akuku nke 90 degrees. The nke ebe triangle QWE bụ ngwaahịa nke QE, nke bụ otu inch na WX - ọkara nke abụọ diagonally kewara ekewa site abụọ.

Ugbu a, ajụjụ nke esi achọta ebe nke a rhombus, azịza doro anya: a okwu ga-okpukpu abụọ. N'ihi na mma nke na-eweta algebraic okwu nwere ike ịbụ otu diagonal denoted site n'akwụkwọ ozi z, mgbe nke abụọ - na akwụkwọ ozi u. anyị na-enweta:

2 (z X 1 / 2u: 2) = z X 1 / 2u, na dị nnọọ doo - poluproizvedenie diagonals.