Pythagoras na Theorem ya [Mfe]
Pythagorean Theorem ọ bụ otu n'ime usoro mmụta kachasị baa uru. Ntọala na mgbakọ na mwepụ, geometry, trigonometry, algebra na nke a na-ejikarị eme ihe kwa ụbọchị dị ka iwu ụlọ, igodo, ọdịdị ala, na ndị ọzọ.
Pythagorean Theorem na-enye gị ohere ịchọta ogologo nke akụkụ nke triangle ziri ezi, ọ bụ ezie na ọtụtụ triangles adịghị mma, enwere ike kewaa ha niile na triangles abụọ ziri ezi, ebe enwere ike itinye ụkpụrụ Pythagorean.
Echiche BASIC "Iji ghọta ụkpụrụ Pythagorean"
Triangle:
Geometric ọgụgụ, na ụgbọ elu, guzobere atọ n'akụkụ na-ezukọ na vetikal. Edere Vertices na mkpụrụedemede ukwu na akụkụ nke chere ihu na vertex na otu obere akwụkwọ ozi. Lee ọgụgụ 1. Na triangles:
- Nchikota akuku ya abua kariri nke ozo.
- Na nchikota nke akụkụ nke triangle 180 measures.
Nhazi ọkwa nke triangles
Dabere n'ogologo akụkụ ahụ, triangle nwere ike ịdị nhata ma ọ bụrụ na ọ nwere akụkụ atọ hà nhata, isosceles ma ọ bụrụ na ọ nwere akụkụ abụọ hà nhata, ma ọ bụ ọnụ ọgụgụ ma ọ bụrụ na ọ nweghị akụkụ ya hà. Lee ọgụgụ 2.
Otu akuku aka nri bu nke ruru 90 Celsius. Ọ bụrụ na akụkụ ahụ erughị 90 Celsius a na-akpọ ya "nnukwu akụkụ". Ọ bụrụ na akụkụ ahụ karịrị 90 Celsius mgbe ahụ a na-akpọ ya "obtuse angle". Dị ka akụkụ ahụ si dị, a na-ekekọta triangles n'ime:
- Nnukwu akụkụ: ọ bụrụ na ha nwere 3 nnukwu akụkụ.
- Rektangulu: ọ bụrụ na ha nwere akụkụ ziri ezi na akụkụ abụọ ndị ọzọ dị oke.
- Eleghị anya akụkụ: ma ọ bụrụ na ha nwere obtuse n'akuku na ndị ọzọ nnukwu. Lee ọgụgụ 3.
Right triangle:
Triangle ziri ezi bụ otu nwere akụkụ ziri ezi (90 Celsius). N'ime akụkụ atọ nke triangle ziri ezi, a na-akpọkarị ogologo oge "hypotenuse", a na-akpọ ndị ọzọ "ụkwụ" [1]:
- Nkwado: n'akụkụ chere ihu n'akụkụ aka nri na triangle ziri ezi. A na-akpọ akụkụ dị ogologo hypotenuse nke na-abụghị akụkụ aka nri.
- Ụkwụ: ọ bụ otu n'ime akụkụ abụọ pere mpe nke triangle ziri ezi nke na-eme nkuku ziri ezi. Lee ọgụgụ 4.
Pythagoras usoro iwu
Nkwupụta nke Theorem Pythagorean:
Pythagorean Theorem na-ekwu na, maka triangle ziri ezi, akụkụ anọ nke hypotenuse bụ nha nha nke obosara ụkwụ abụọ ahụ. [abụọ]. Lee ọgụgụ 2.
Ihe omimi Pythagorean Enwere ike ịkọwa ya dị ka ndị a: Oghere ahụ e wuru na nchepụta nke triangle ziri ezi nwere otu mpaghara ahụ dị ka nchikota nke ebe nke n'ámá ndị e wuru na ụkwụ. Lee ọgụgụ 6.
Na Pythagoras usoro iwu Nwere ike ikpebi ogologo nke otu akụkụ nke a triangle ziri ezi. Na ọnụ ọgụgụ 7 bụ usoro iji chọta hypotenuse ma ọ bụ ụfọdụ n'ime ụkwụ nke triangle.
Jiri usoro Pythagora mee ihe
Mwube:
Ihe omimi Pythagorean Ọ bara uru na imewe na iwu nke rampu, steepụ, akụkụ diagonal, n'etiti ndị ọzọ, dịka ọmụmaatụ, maka ịgbakọ ogologo nke mkpọda mkpọda. Ihe ngosi 8 na-egosi na maka owuwu nke ogidi ụlọ, a na-eji trestles na eriri ga-ekwenye na Theorem Pythagorean.
Topography:
Na topography, a na-egosipụta elu ma ọ bụ ihe enyemaka nke mbara ala n'ụzọ doro anya na ụgbọelu. Dịka ọmụmaatụ, enwere ike iji mkpanaka atụ nke ogo mara na telescope gbakọọ ọdịdị nke mbara ala. A na-emezi nkuku ziri ezi n’agbata ahịrị nke telescope na mkpanaka ahụ, na ozugbo amaara elu nke mkpanaka ahụ, a na-eji usoro iwu Pythagorean mee ihe iji chọpụta mkpọda nke mbara ala ahụ. Lee ọgụgụ 8.
Ntughari:
Ọ bụ usoro eji achọpụta ebe ihe dị, amaara amaokwu abụọ. A na-eji triangulation mee ihe na nsuso ekwentị, na usoro igodo, na nchọpụta nke ụgbọ mmiri na mbara igwe, n'etiti ndị ọzọ. Lee ọgụgụ 9.
Onye bụ Pythagoras?
A mụrụ Pythagoras na Gris 570 BC, nwụrụ na 490 BC Ọ bụ ọkà ihe ọmụma na mgbakọ na mwepụ. Nkà ihe omumu ya bu na onu ogugu nke obula nwere ihe omuma nke Chineke, ya na nchikota ya gosiputara ihe ndi ozo. Ọ bụ ezie na ọ bipụtaghị ihe ọ bụla ederede n'oge ndụ ya, amaara ya maka iwebata usoro okwu aha ya, nke bara uru maka ọmụmụ nke triangles. A na-ahụta ya dị ka onye mgbakọ na mwepu mbụ dị ọcha, onye mepụtara ọmụmụ mgbakọ na mwepụ na geometry na astronomy. [abụọ]. Lee ọgụgụ 2.
Ihe omume
Iji jiri Theorem Pythagorean, ihe mbụ ị ga-eme bụ ịchọpụta ebe triangle ziri ezi guzobere, nke n'akụkụ bụ hypotenuse na ụkwụ.
Ihe omume 1. Chọpụta uru nke hypotenuse maka triangle ziri ezi na ọnụ ọgụgụ ahụ
Ngwọta:
Onyonyo 12 na-egosi ngụkọta nke hypotenuse nke triangle.
Ihe omume 2. A choro ka ogwe osisi ato kwadoo ogwe osisi ya, dika egosiri na onu ogugu 13. Okwesiri igwe igwe metara ole?
Ngwọta
Ọ bụrụ na -eche USB dị ka hypotenuse nke a nri triangle kpụrụ n'etiti USB, okporo osisi na ala, ogologo nke otu nke eriri kpebisiri ike iji Pythagorean theorem. Ebe ọ bụ na e nwere eriri atọ, ogologo e nwetara na-amụba site na 3 iji nweta ngụkọta ogologo dị mkpa. Lee ọgụgụ 14.
Ihe omume 3. Iji bupu igbe di iche, si n'okpukpu nke abuo rue n'ala ulo, to choro izuta eriri eji ebu ihe dika nke egosiri na onu ogugu 15. Ogologo oge ka eriri ebu ebu ga?
Ngwọta:
Tụle eriri ebu ka hypotenuse nke nri triangle kpụrụ n'etiti belt, ala na mgbidi, na Ọgụgụ 16 ogologo ebu belt na-agbakọ.
Ihe omume 4. Onye ọkwá nkà na-esepụta otu arịa ụlọ ebe akwụkwọ kwesịrị ịga, yana igwe elekere 26 ”. Kedu otu obosara na ịdị elu kwesịrị ịdị na ebe TV ga-aga? Lee ọgụgụ 17.
Ngwọta:
Ihe a na-eji na ngwaọrụ eletrọnị dịka ekwentị, mbadamba, telivishọn, n'etiti ndị ọzọ, na diagonal nke ihuenyo ahụ. Maka 26 ”TV, ihe ngosi ntanetị bụ 66,04 cm. N'ịtụle triangle ziri ezi nke diagonal nke ihuenyo ahụ mepụtara, na akụkụ nke telivishọn ahụ, a pụrụ itinye usoro iwu Pythagorean iji chọpụta obosara nke telivishọn. Lee ọgụgụ 18.
Nkwenye na Pythagorean Theorem
Pythagorean Theorem na-enye gị ohere ịchọta ogologo nke akụkụ nke triangle ziri ezi, na ọbụnadị maka triangle ọ bụla ọzọ, ebe ọ bụ na a ga-ekewa ndị a n'ime triangles ziri ezi.
Pythagorean Theorem na-egosi na akụkụ nke hypotenuse nke triangle ziri ezi hà nchikota nke ụkwụ ụkwụ, na-aba ezigbo uru n'ịmụ banyere jiometrị, trigonometry, na mgbakọ na mwepụ n'ozuzu ya, yana iji ọtụtụ ihe na-ewu, igodo, ọdịdị ala, n'etiti ọtụtụ ngwa ndị ọzọ.
Anyị na-agba gị ume ka ị hụ isiokwu ahụ Newton iwu "mfe nghọta"
