Kodi kupeza dera trapezoid ndi?

Pamaso momwe kupeza dera trapezoid ndi, m'pofunika kupereka tanthauzo lake.

A Intaneti - ndi zojambula mawonekedwe ndi ngodya zinai pa zomwe mbali ziwiri ndi kufanana kwa mzake, ndi zina ziwiri - palibe. mbali ziwiri zimene zikufanana ndi mzake, wotchedwa zapansi, ndipo sanali kufanana - mbali. Ngati maphwando, amene lateral, wofanana, ndi trapezoid isosceles adzatchedwa. Ngati mphambano iwo kupanga mlingo woyenerera, ndi anayi.

Mu ajebura ndi mfundo zambiri curvilinear trapezium - pansi anamvetsa chithunzi njanjira mbali imodzi ya × olamulira, ndi zina - ndi Zithunzi za ntchito Y = f (×) b ndi kumatanthauza pa imeneyi ya [ndi; b]

Kodi kupeza dera trapezoid ndi

Calculated ngati zojambula chithunzi ndi chilinganizo S = 0,5 * (a + b) * H, komwe ndi kutalika zapansi trapezoid ndi H - kutalika kwake.

Chitsanzo. Dana trapezoid, m'munsi limodzi lomwe liri masentimita 2, wachiwiri - 3 masentimita, ndi kutalika - 4 cm malo kuyembekezera kachitidwe, timapeza chifukwa :. S = 0, 5 * (2 + 3) * 4 = 12 cm2.

Kuyambira chilinganizo yomweyo kuti, podziwa dera zimakwana, kutalika, kutalika kwa mmodzi wa zipani, angapezeke kutalika kwa ena. Yachiwiri - kudziwa zotalika mumbali ndi dera trapezoid ndi n'zotheka kupeza msinkhu wake.

Chitsanzo. Dana trapezoid, imene m'munsi umodzi wautali kuposa zina 3. Kutalika kwa zimakwana - 3 cm, m'dera - 24sm2. Mukufuna kupeza kutalika kwa zapansi zonse.

Kusankha. Kukula ndi kuchita masamu zotsatirazi chilinganizo S = 0,5 * (a + b) * h. Kuyambira zikhalidwe za vutolo momveka bwino kuti mbali zokulirapo kuposa wina maulendo 3 Choncho, = 3. M'malo mwa chilinganizo ndi kupeza S = 0,5 * (a + 3) * H = 0,5 * 4b * h. Chifukwa, ife tikufika S = 2c * H, ndiyo = S / 2h. Wogwirizira mfundo M'ndandanda ndi kupeza = 6 cm, ndi = 18 cm.

Komabe, ili ndi njira yokha yomwe inu mungakhoze kudziwa dera chithunzi ichi ayi. Mu njira yachiwiri, patsogolo panu kupeza dera trapezoid, zikhoza kugawidwa mu losavuta akalumikidzidwa zojambula: rectangle ndi Triangles awiri (kapena kansalu, mu nkhani ya trapezoid amakona anayi). Pankhaniyi, malo okwana adzakhala masamu monga Uwerenge m'madera a Chiwerengerochi. Monga zosinthika ndi - akhoza alembedwa mu rectangle kumbali lateral ndi wofanana ndi kutalika kwa m'munsi zikuluzikulu. Pankhaniyi, dera trapezoid ndi mtima kusiyana m'dera la rectangle ndi kansalu.

Kodi kupeza malo a amakona anayi trapezoid? Izo kale ananena kuti ndi trapezoid amakona anayi angatchedwe ndi trapezoid amene m'munsi (iyo) ndi mbali lateral intersect, kupanga makona prima. Choncho anati chithunzi avsd ndi mbali adzakhala mkulu. Ndiye, kudziwa kutalika kwa mbali zonse 3, n'zotheka kupeza dera chithunzi S = 0,5 * (a + b) * c.

Chilinganizo yosavuta motere: S = munthu * H, kumene K - ndi kutalika kwa midline wa trapezoid ndi, H - kutalika kwake. vuto ndi kuchita n'kosavuta m'litali maziko kuposa kupeza midline. Ndipo chiri motere:

Popeza: scalene, si amakona anayi trapezoid AVSD kumene mbali AB ndi CD ndi zapansi ndi. Musanayambe kupeza dera trapezoid ayenera zigawo AC ndi VD ogaŵikana 2 wofanana mbali, chodetsa kufika mphambano ya zilembo G ndi C. Pamenepo mzere CC unachitika kufanana pansi, ndipo adzakhala pakati mzere wa trapezoid m.

wapadera mulandu wina - pamene equilateral trapezoid. Pakuti woyenera mitunduyi onsewa (kumene, kupatula mitunduyi amakona anayi). Malo zingadziŵike podzindikira ngodya pakati zapansi lapansi. Ndondomeko ili: S = (a + b) * m'ma machimo (x) * 0.5, komwe ndi B - kutalika kwa m'munsi mbali kutalika m'ma, ndi × - ngodya pakati pawo.

Nthawi zina muyenera kudziwa dera zimakwana, osati Masamu, komanso ajebura wa ndondomeko. Pa nkhani imeneyi, ophunzira mafunso mmene kupeza malo a trapezoid mu ndondomeko ya. Mfundo masovedwe ali yemweyo - kudziwa zotalika mbali, monga kusiyana amayang'anira mfundo m'munsi kuchita masamu, ndi msinkhu wa chilinganizo woyamba kuchita masamu m'deralo. Msinkhu tidzakambirana mzere wolunjika limachokera ku ngodya ya m'modzi wa zapansi m'munsi ena.

Pofuna kudziwa malo a trapezoid curvilinear ndi yofunika.