Gịnị bụ midline nke aquadrilateral

N'ime akwụkwọ a, anyị ga-atụle nkọwa na isi ihe dị n'etiti ahịrị nke convex quadrilateral gbasara ebe njikọ ha, mmekọrịta na diagonals, wdg.

Cheta na: Na nke na-esote, anyị ga-atụle naanị ọnụ ọgụgụ convex.

content

Mkpebi nke etiti ahịrị nke akụkụ anọ

A na-akpọ akụkụ nke na-ejikọta etiti etiti nke akụkụ ndị ọzọ nke akụkụ anọ (ya bụ, ọ bụghị ịgbanye ha) ya. ahịrị etiti.

Gịnị bụ midline nke aquadrilateral

  • EF - ahịrị etiti na-ejikọta ebe etiti AB и CD; AE=EB, CF=FD.
  • GH - ahịrị etiti na-ekewa ebe etiti BC и AD; BG=GC, AH=HD.

Njirimara nke etiti ahịrị nke akụkụ anọ

Ngwongwo 1

Ahịrị dị n'etiti nke akụkụ anọ nke akụkụ anọ na bisect n'ebe nkwụsịtụ.

Gịnị bụ midline nke aquadrilateral

  • EF и GH (ahịrị etiti) na-agbakọta n'otu ebe O;
  • EO=OF, GA=OH.

Cheta na: Point O is etiti (ma ọ bụ barrycenter) akụkụ anọ.

Ngwongwo 2

Ebe nkedo nke etiti etiti nke quadrilateral bụ etiti etiti nke na-ejikọta etiti nke diagonals ya.

Gịnị bụ midline nke aquadrilateral

  • K - n'etiti diagonal AC;
  • L - n'etiti diagonal BD;
  • KL na-agafe otu isi ihe O, jikọọ K и L.

Ngwongwo 3

Ebe etiti n'akụkụ akụkụ anọ bụ akụkụ myirịta a na-akpọ Parallelogram nke Varignon.

Gịnị bụ midline nke aquadrilateral

Ebe etiti nke parallelogram a kpụrụ n'ụzọ dị otú a na ebe nkwụsị nke diagonals ya bụ etiti etiti etiti nke mbụ quadrilateral, ya bụ ebe ha na-agafe. O.

Cheta na: Mpaghara nke parallelogram bụ ọkara akụkụ nke akụkụ anọ.

Ngwongwo 4

Ọ bụrụ na akụkụ dị n'etiti diagonal nke akụkụ anọ na etiti ya hà nhata, mgbe ahụ, diagonal nwere otu ogologo.

Gịnị bụ midline nke aquadrilateral

  • EF - ahịrị etiti;
  • AC и BD - diagonal;
  • ∠ELC = ∠BMF = a, N'ihi ya AC=BD

Ngwongwo 5

Midline nke akụkụ anọ dị ihe na-erughị ma ọ bụ hà nhata na ọkara nchikota nke akụkụ ya na-adịghị ejikọta (ọ bụrụhaala na akụkụ ndị a na-ejikọta).

Gịnị bụ midline nke aquadrilateral

EF - eriri etiti nke na-adịghị ejikọta ya na akụkụ AD и BC.

N'ikwu ya n'ụzọ ọzọ, etiti etiti nke akụkụ anọ dị ka ọkara nke nchikota nke akụkụ ndị na-adịghị ejikọta ya ma ọ bụrụ na ọ bụrụ na ọ bụrụ na e nyere quadrilateral bụ trapezoid. N'okwu a, akụkụ ndị a na-atụle bụ ntọala nke ọnụ ọgụgụ ahụ.

Ngwongwo 6

Maka vector midline nke akụkụ anọ aka aka ike, nha anya na-esote:

Gịnị bụ midline nke aquadrilateral

Gịnị bụ midline nke aquadrilateral

Nkume a-aza