A tsawo daga cikin dala. Yadda za a sami shi?

Dala - a polyhedron, tushe na wanda yake shi ne polygon. All fuskanta a nuna siffar triangles cewa hadu a daya kokuwa. A pyramids ne triangular, quadrilateral da sauransu. Domin a tantance abin da piramida a gaban ku, shi ya ishe wajen ƙidaya yawan kusassari a karkashi. A definition of "tsawo daga cikin dala" ne sosai na kowa a cikin lissafi a cikin manhaja manufofin. Wannan labarin za su yi kokarin la'akari da hanyoyi daban-daban na gano shi.

dala sassa

Kowane dala kunshi wadannan abubuwa:

• gefe fuskoki wanda da uku da kwana da kuma converge a wata kokuwa.
• apothem wakiltar tsawo da ke sauka daga ta saman.
• saman na dala - wani batu cewa ya haɗu a kaikaice gefuna, amma wannan ba ya karya a cikin jirgin sama na da tushe.
• tushe - a polygon, wanda ba ya kasance a cikin tip.
• tsawo daga cikin dala shi ne kashi cewa crosses saman dala da gammonsa Forms dama kwana.

Yadda za a sami tsawo daga cikin dala, idan ka san ta girma

Bayan dabara dala girma V = (S * h) / 3 (a cikin dabara V - ƙarfi, S - yanki na da tushe, h - tsawo daga cikin dala), za mu sami cewa h = (3 * V) / S. Don ƙarfafa littattafai, bari warware matsalar nan da nan. A triangular dala square sansanonin ne 50 cm ^2, yayin da ta girma ne 125 cm ^3. Unknown tsawo na mai triangular dala, da kuma wanda ya kamata mu nemo. Yana da sauki ne: saka data cikin mu dabara. Mun samu h = (3 * 125) / 50 = 7.5 cm.

Yadda za a sami tsawo daga cikin dala, idan muka sani da tsawon da diagonal da gefuna

Kamar yadda muka tuna, da tsawo daga cikin dala da ke sa tare da gammonsa dama kwana. Wannan yana nufin cewa da tsawo na haƙarƙari da rabin diagonally tare samar da wata dama-angled alwatika. Mutane da yawa, ba shakka, tuna da Pythagorean Theorem. Sanin biyu ma'aunai, da uku darajar zai zama da sauki a samu. A lõkacin da aka sani Theorem a² = b² + c², kuma a cikinta - da hypotenuse, kuma a wannan yanayin da baki daga cikin dala. b - karawar farko ko rabin diagonal da - da bi, na biyu kafa ko tsawo daga cikin dala. Daga wannan dabara c² = a² - b².

Yanzu matsalar: a dama diagonal na dala ne 20 cm, yayin da tsawon gefen - 30 cm tsawo dole ne a samu .. Warware: c² = 30² - 20² = 900-400 = 500. Saboda haka, = √ 500 = game da 22,4.

Yadda za a sami tsawo daga wani truncated dala

Yana da wani polygon, wanda yana da wani sashe a layi daya to karkashi. A tsawo na mai truncated dala - wani sashi cewa ya haɗu biyu na ta kafa. A tsawo za a iya samu a yau da kullum da dala, za a san idan da tsawon diagonals na biyu da kwasfansu, da kuma gefen dala. Bari diagonal mafi girma tushe daidai d1, yayin da karami diagonal kafuwar - D2, da kuma gefen yana da tsawon - l. Don samun tsawo iya zama daga biyu daura da babba zane da maki ƙananan tsawo a karkashi. Mun gani abin da mun samu biyu dama triangles, shi ya kasance a sami tsawon kafafu. Domin wannan mafi girma diagonal na karami debewa da kuma raba ta 2. Tun daya kafa muka sami: a = (d1-D2) / 2. Bayan da cewa, bisa ga Pythagorean Theorem, za mu iya kawai sami na biyu kafa, wanda shi ne tsawo daga cikin dala.

Yanzu dubi duk harka a yi. The aiki kafin mu. A truncated dala yana da wani square a tushe, da girma tushe na diagonal tsawon ne 10 cm, yayin da karami - 6 cm, da kuma filafilin kifi ne daidai da 4 cm tsawo ake bukata a sami .. Don samun farkon daya kafa a = (10-6) / 2 = 2 cm Daya kafa ne daidai da 2 cm, da kuma hypotenuse - 4 cm itace cewa na biyu da kafa, ko tsawo zai kasance daidai da 16-4 = 12, Ina nufin h = .. √12 = game da 3.5 cm.