Imisebenzi mayelana indawo isikwele, nokuningi

Lokhu akumangazi futhi isikwele ajwayelekile. Kuyinto ziyalingana mayelana nendawo yayo ahlangene eyenziwa ngokuphambeneyo ngokusebenzisa isikhungo futhi izinhlangothi. Ukufuna indawo isikwele noma ivolumu ngokuvamile akunzima kakhulu. Ikakhulukazi uma uhlangothi obuphelele ezaziwayo.

A amazwi ambalwa mayelana sibalo kanye izakhiwo zalo

Eyokuqala izakhiwo ezimbili abahlangene definition. Zonke izinhlangothi sibalo ayalingana nomunye. Phela, isikwele - lena isikwele kwesokudla. Futhi ukuthi wonke amaqembu bayalingana futhi engele zibaluleke alinganayo, okungukuthi, - 90 degrees. Lena yindawo yesibili.

Esesithathu ihlobene ubude diagonals. Nabo futhi, ayalingana nomunye. Futhi aphambana at engele kwesokudla phakathi amaphuzu.

Ifomula esetshenziswa kuphela ubude eceleni

Okokuqala, leli gama. Ngokuba ubude eceleni zithathwe ukukhetha incwadi "a." Khona-ke, endaweni sikwele ibalwa ifomula: S = ^2.

It is etholwe kalula kusukela kulowo ngokuba isikwele ezaziwayo. Kuleyo ncwadi ubude nobubanzi ziziningi. Isikwele, lezi zinto ezimbili ziyalingana. Ngakho-ke, kulesi ifomula livela value sikwele.

Formula, lapho ubude idayagonali efakiwe

Kuyinto hypotenuse unxantathu kabani izinhlangothi imilenze sibalo. Ngakho-ke, singasebenzisa Pythagorean theorem equation kanye okukhipha, lapho ngasohlangothini esashiwo idayagonali.

Ukuba kugucuka elula siyibo, thola ukuthi endaweni isikwele ngokusebenzisa idayagonali ebalwe fomula elandelayo:

S = d ^2/2. Lapha d incwadi lisho diagonal we isikwele.

emhlabeni azungezwe formula

Esimweni esinjalo kubalulekile ukuveza uhlangothi ngokusebenzisa ipherimitha futhi bamelele kube ifomula ndawo. Njengoba ohlangothini olufanayo figure ezine, azungezwe kuyodingeka zihlukaniswe 4. Lokhu kuzoba yinani esandleni, okungase shintsha phakathi kokuqala ukubala indawo isikwele.

Ifomula ngokuvamile simiswe ngalendlela lelandzelako: S = (P / 4) ^2.

Izinselelo izibalo

Inombolo 1. Kukhona square. Isamba amabili ezinhlangothini zalo elilingana 12 cm. Bala endaweni isikwele ipherimitha yayo.

Isinqumo. Ngenxa unikezwa isamba izinhlangothi ezimbili, kubalulekile ukwazi ubude eyodwa. Njengoba ziyafana, inani elithile udinga nje ukuba lahlukaniswa. Okungukuthi ohlangothini sibalo 6 cm.

Khona-ke azungezwe kanye endaweni ingabalwa kalula besebenzisa ifomula. Eyokuqala 24 cm, kanti eyesibili - 36 cm ^2.

Impendulo. Azungezwe we isikwele kuyinto 24 cm, kanye endaweni yayo - 36 cm ^2.

Inombolo 2. Thola indawo isikwele nge azungezwe 32 mm.

Isinqumo. Vele bamelele ukubaluleka ipherimitha ku-formula okubhale ngenhla. Nakuba ungafunda ecaleni lokuqala square, bese kuphela endaweni yayo.

Kuzo zombili lezi zimo, izenzo ngizoya division lokuqala bese Exponentiation. izibalo ezilula kuholele yokuthi endaweni imelelwa skwele 64 mm ^2.

Impendulo. Le ndawo usesho lumayelana 64 mm ^2.

3. Inani isikwele 4 DM. I isikwele osayizi: 2 no-6 DM. Ngo yiziphi izibalo ezimbili indawo enkulu? Zingaki?

Isinqumo. Vumela ohlangothini square zizomakwa ngohlamvu a _1, ke ubude nobubanzi we isikwele kanye _{2 no-2.} Ukuze sithole indawo isikwele njengoba ukubaluleka ₁ Kusolwa ukuba Square, isikwele kanye - siphindaphindeka ₂ kanye _2. Kulula.

It kuvela ukuthi indawo lesikwele 16 DM ^2, kanye isikwele - 12 DM ^2. Ngokusobala, lesi sibalo wokuqala omkhulu kweyesibili. Lena naphezu kweqiniso lokuthi banayo indawo alinganayo, okungukuthi, abe azungezwe efanayo. Ukuze uhlole, ungakwazi ukubala ipherimitha. Uhlangothi square kufanele iphindwe 4, uthola 16 DM. Ngo isikwele eligoqiwe ohlangothini ekhona futhi ande by 2. Kuyoba inombolo efanayo.

Inkinga iwukuthi ukuphendula kodwa mangaki izindawo zihlukile. Kule nombolo sisuswe emikhulu ngaphansi. Umehluko ilingana 4 DM ^2.

Impendulo. Izikwele kukhona 16 ^dm2 futhi 12 DM ^2. Isikwele ingaphezu 4 DM ^2.

Inselele lenkhulu ubufakazi

Isimo. On catheters isosceles unxantathu wesokudla esakhiwe sikwele. Bakhona bakha hypotenuse ukuphakama lapho omunye square eyakhelwe. Fakazela ukuthi endaweni yokuqala kabili kunenani yokugcina.

Isinqumo. Sibethula notation. Ake umlenze kuyinto, futhi ukuphakama badonsekela hypotenuse, x. Le ndawo kwesikwele - S _1, owesibili - S _2.

Le ndawo kwesikwele eyakhelwe catheters ibalwa nje. Kuyinto okulingana ^2. Inani yesibili ngakho ayilula kangako.

Okokuqala okudingeka ukwazi ubude hypotenuse. Ngenxa yalesi ifomula ewusizo ongabheka kuyo ukuze theorem kaPythagoras. kugucuka Simple eziholela Inkulumo elandelayo: a√2.

Kusukela ubude unxantathu equilateral badonsekela base, futhi imidiyeni futhi ukuphakama, ihlukanisa calantsatfu lomkhulu ku isosceles amabili alinganayo unxantathu wesokudla. Ngakho-ke, ukuphakama ilingana inxenye hypotenuse. Okungukuthi, x = (a√2) / 2. Ngakho kulula ukwazi indawo S _2. Litholakala ukuba ^2/2.

Kusobala ukuthi amagugu eqoshiwe kuhluke ncamashi kabili. Futhi okwesibili kule inomboro encani ngaku-. QED.

An engavamile puzzle game - tangram

Wenziwe kwesikwele. Kufanele isekelwe emithethweni ethize uthathe ezihlukile. Zonke izingxenye kufanele kube 7.

Zisuke zisho ukuthi abangenalwazi umdlalo izosebenzisa zonke wathola izinto. Adinga ukuba nezinye ngamajamo weJiyomethri. Ngokwesibonelo, isikwele, trapezoid noma parallelogram.

Kodwa okuthakazelisa nakakhulu lapho izingcezu etholakala izilwane nofana izinto Silhouettes. Futhi kuvela ukuthi indawo yonke izibalo etholakala nguye kwaba esigcawini sokuqala.