MapangidweSayansi

Kodi kuwerengera m'dera la makona ndi?

Nthawizina moyo pali zochitika pamene kuli kofunikira wofufuza kukumbukira kufufuza za kuleza aiwala sukulu. Mwachitsanzo, m'pofunika chimatanthauza m'dera la dziko kapena mawonekedwe triangular anadza kukonza lotsatira mu nyumba kapena nyumba mseri, ndipo m'pofunika kuwerengetsa kuchuluka kwa mfundo kusiya pamwamba ndi mawonekedwe triangular. Panali nthawi pamene inu angathetse chithunzi ichi mu maminiti pang'ono, ndipo tsopano amasowa kuyesa kukumbukira mmene kudziwa m'dera la makona ndi?

Sikuti chifukwa kuti zimenezi! Ndipotu, ndi zabwinobwino, pamene ubongo wa munthu wasankha kuloza kudziwa kuleza makuponi kwinakwake mu ngodya akutali, kumene nthawi zina si mosavuta kuchotsedwa. Kotero mulibe kuvutika ndi kufunafuna nzeru aiwala sukulu kuthetsa vutoli, nkhaniyi ili njira zosiyanasiyana kuti kophweka kupeza chofunika m'dera la makona lapansi.

Izo ziri zodziwika bwino kuti mtundu uwu wa makona amatchedwa polygon, amene okha osachepera zotheka angapo mbali. Mfundo polygon aliyense angathe kugawidwa Triangles, polumikiza mfundo zake zigawo izo simudutsa iye. Chotero, podziwa njira kwa kuwerengetsa m'dera la makona, mungathe kuwerengera dera mawonekedwe chilichonse.

Pakati Triangles zonse zotheka kuti zimachitika moyo, izi mitundu zenizeni ndi: equilateral, isosceles ndi bwino-angled.

Chophweka njira m'dera la makona kuchita masamu pamene wina wa kumathandiza kupeza ngodya zake zabwino, ndiye, mu nkhani ya kansalu bwino. N'zosavuta kuona kuti iye ndi theka la rectangle lapansi. Choncho, malo wofanana ndi mankhwala theka la zipani, zomwe ndi pakati pa iwo ndi mlingo woyenerera.

Ngati tizindikira okwera makona ya, polowetsedwa ku imodzi mwa mfundo zake zosiyana, ndi kutalika kwa mbali iyi, wotchedwa m'munsi, m'dera kuchita masamu kuti tinachita kutalika theka maziko a. Kunalembedwa mwa chilinganizo izi:

S = 1/2 * b * H, imene

S - kufunika m'dera la makona ya;

b, H -, motero, kutalika ndi patsinde pa makona a.

Mophweka kuwerengera m'dera la makona isosceles, kuyambira kutalika adzagawa kutsidya lina la theka, ndipo mosavuta anayeza. Ngati anatsimikiza m'dera la kansalu bwino mu msinkhu yabwino kutenga kutalika kwa mmodzi wa m'mbali kupanga mlingo woyenerera.

Zonsezi kumene zabwino, koma mmene kuona ngati mmodzi wa kumathandiza kupeza ngodya zabwino za kansalu zolondola kapena ayi? Ngati kukula kwa chithunzi wathu wamng'ono, mukhoza kugwiritsa ntchito mbali ya nyumba, ndi makona kujambula, makadi kapena zinthu zina ndi mawonekedwe anayi.

Koma bwanji ngati tili ndi chiwembu triangular wa dziko? Pankhaniyi, chitani motere: chikunena pamwamba oyembekezera mlingo woyenerera mbali imodzi ya mtunda angapo 3 (masentimita 30, 90 cm, 3 m), pamene mbali zina metered mofanana chiwerengero mtunda angapo 4 (masentimita 40, masentimita 160, 4 m). Tsopano muyenera kuyeza mtunda pakati pa endpoints a zigawo ziwiri izi. Ngati anatembenuka mtengo 5 khola (50 cm 250 cm, 5 m), akhoza amanena kuti ngodya za mzere.

Ngati inu mukudziwa kutalika kwa aliyense wa mbali zitatu za chithunzi wathu, dera makona zingadziŵike ntchito chilinganizo chimeza a. Kuti nawo maonekedwe wosavuta ntchito mtengo watsopano wotchedwa semiperimeter. Ndi Uwerenge mbali zonse za makona wathu unagawidwa mu theka. Pambuyo semiperimeter otero, mukhoza chitani m'dera mtima monga mwa njira:

S = sqrt (p (pa) (PB) (pc)), kumene

sqrt - lalikulu mizu;

tsa - mtengo semiperimeter (p = (a + b + c) / 2);

ndi, b, c - m'mbali (mbali) pa makona a.

Koma bwanji ngati kansalu ali ndi mawonekedwe osasamba? Pali njira ziwiri. The oyamba ndi kuyesa kugawanitsa chithunzi mu Triangles awiri kudzanja angled, Uwerenge m'madera amene awerenge payokha ndiyeno anawonjezera pamodzi. Kapenanso ngati kudziwika ngodya pakati pa mbali ziwiri za kukula kwa mbali iyi, ntchito njira:

S = 0.5 * AB * sinC, mmene

ndi, b - mbali ya makona ya;

C - ngodya pakati pa mbali imeneyi.

Nkhani yomaliza mu mchitidwe ali osowa, komabe, mu zonse zomwe moyo n'kotheka, kotero njira sati superfluous anapatsidwa pamwamba. Zabwino zonse mu kuwerengetsera wanu!

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