How kuwana nzvimbo imwe trapezoid?

Asati sei kuwana nzvimbo imwe trapezoid, zvakakodzera kupa tsananguro yacho.

A-Line - a geometric chimiro ne mana panguva iyo mativi maviri zvinofanana kune mumwe, uye vamwe vaviri - kwete. mativi maviri kuti zvinofanana nepedyo, akadana zvigadziko, uye asiri kufanana - divi. Kana mapato, izvo lateral, vakaenzana, imwe isosceles trapezoid achanzi. Kana mharadzano vanoumba kodzero yorusvingo, zviri rectangular.

Ari nemasvomhu zvikuru pfungwa curvilinear trapezium - pasi kunzwisisa mufananidzo rakatenderedzwa kurutivi rumwe rutivi X akabatana, uye mumwe - the girafu of basa and = d (x) b uye kurondedzerwa pamusoro penguva [a; b]

How kuwana nzvimbo imwe trapezoid

Akaverenga zvakadai geometric mufananidzo kubudikidza nzira S = 0,5 * (a + b) * H, uko uye kureba zvigadziko trapezoid, uye H - kukwirira kwayo.

Example. Dana trapezoid, chimwe nechimwe chiri 2 cm, wechipiri - 3 cm uye kukwirira - 4 masendimita nzvimbo kutarisira yemaitiro, tawana mugumisiro :. S = 0, 5 * (2 + 3) * 4 = 12 cm2.

Kubva chete nzira kuti, nokuziva nzvimbo yacho nechipi, kureba, nokureba mumwe kumapati, anogona kuwanikwa nokureba mumwe. The Ipfungwa rechipiri - kuziva urefu mativi uye nzvimbo yacho trapezoid, zvinokwanisika kuwana kukwirira kwayo.

Example. Dana trapezoid, umo mumwe pangoro yakareba kupfuura dzimwe 3 nguva. Kukwirira nechipi - 3 cm nzvimbo - 24sm2. Unoda kuwana kureba vose zvigadziko.

Decision. Size rinowanikwa neDare mutoo S = 0,5 * (a + b) * h. Kubva ezvinhu dambudziko pachena kuti rimwe divi hombe pane mumwe 3 nguva, saka, munhu = 3b. Tsiva imwe iri nzira uye kuwana S = 0,5 * (a + 3b) * f = 0,5 * 4 * h. Somugumisiro, tinowana S = 2c * H, kureva = S / 2h. Okutsiva Numeric tsika uye kuwana = 6 cm mumwe = 18 cm.

Zvisinei, izvi hazvisi chete nzira yaunogona kuona nzvimbo nhamba iyi. In nzira yechipiri, usati kuwana nzvimbo iri trapezoid, rinogona rakakamurwa nyore geometric zvitarisiko: rectangle uye nezvimwe zvokuridza maviri (kana netriangle, panyaya ine rectangular trapezoid). Panyaya iyi, nzvimbo yacho yose ichaparadzwa dzaona sezvo Verengai dzine nenhamba idzi. Somunhu musiyano - zvinogona nokudhindwa rectangle ane divi lateral akaenzana pakureba makuru hwaro. Panyaya iyi, nzvimbo yacho trapezoid kunotemwa sezvo musiyano nzvimbo imwe rectangle uye Triangle.

How kuwana nzvimbo munhu rectangular trapezoid? It watopiwa akataura kuti munhu rectangular trapezoid inogona kunzi trapezoid ane chawo (kumutumidza a) uye lateral divi piringisha, achiumba necheparutivi Prima. Naizvozvo akati maumbirwo avsd pamwe divi achava mukuru. Zvadaro, achiziva kureba zvose 3 mativi, zvinokwanisika kuwana nzvimbo nhamba S = 0,5 * (a + b) * c.

The nyore fomura iri sezvinotevera: S = ari H *, apo k - ndiko kureba midline ari trapezoid, h - kukwirira kwayo. Chinetso ndechokuti mune tsika zviri nyore kuyera kureba pechingoro pane kuwana midline. Uye sezvinotevera:

Kupiwa: scalene, non-rectangular trapezoid AVSD apo mativi AB uye CD ndivo zvigadziko. Usati kuwana nzvimbo trapezoid zvikamu AC uye VD vanofanira muzvikamu 2 yakaenzana mativi, zvichiratidza pfungwa mharadzano tsamba G uye C. Ipapo mutsetse CC, vakabata zvaivapowo pasi, uye kuchava pakati mutsetse yacho trapezoid m.

Imwe nyaya inokosha - apo equilateral trapezoid. Nokuti aenderane Masvomhu zvose izvi (Chokwadi, kunze kwenguva rectangular Masvomhu). nharaunda yayo zvinogona tsunga nokuziva pakona pakati pezvingoro. The yemaitiro iri sezvinotevera: S = (a + b) * C * chivi (x) * 0.5, uko, uye, b - urefu hwaro divi urefu c, uye X - pakona pakati pavo.

Dzimwe nguva unofanira kuona nzvimbo nechipi, kwete chete muna geometry, asi naiyewo nemasvomhu pakati Coordinates. Panyaya iyi, vadzidzi mubvunzo sei kuwana nzvimbo imwe trapezoid iri Coordinates. Nheyo computation ndiyo chete - kusarudza urefu mativi, sezvo kusiyana anoona nechigadziko pfungwa rinowanikwa, uye kureba wokutanga payakavakirwa rinowanikwa nzvimbo. Urefu ichakurukurwa achirurama mutsetse wakavhomorwa kubva pakona rimwe nezvigadziko kune hwaro.

Kuti tizive nzvimbo ine curvilinear trapezoid vari chinokosha.