Hana e pili ana i wahi o ka huinahalike, a me ka oi

Ua kahaha ko oukou naau a me ka kama'āina huinahalike. He symmetrical e pili ana i kona oaio (axis) a lawe diagonally ma ke kikowaena a me ka aoao. A huli no ka wahi o ka huinahalike a me ka buke i loko o kekahi mau mea,ʻaʻole he paʻakikī. No ka mea, ina ua ikeʻaoʻao lōʻihi.

A mau olelo e pili ana i ka huahelu a me kona waiwai

Ka mua mau waiwai i pili i ka ho'ākāka 'ana. Nāʻaoʻao o ka huahelu e like ai i kekahi i kekahi. Ma hope o nā mea a pau, i ka huinahalike - keia mea i ka rectangle akau. A oia hōʻoia i nā 'aoʻao e kau like, a me ka pana pua i o like nui, oia, - 90 degere. 'O kēia ka lua o ka waiwai.

Ke kolu o ka ua e pili ana i ka lōʻihi o nā diagonals. Lakou, no hoi, e like i kekahi i kekahi. A intersect i pono pana pua i loko o ka waena o nā kumu.

Ka haʻilula i ua hoʻohana wale i loko o kaʻaoʻao lōʻihi

Mua, ma ka inoa. No ka lōʻihi o kaʻaoʻao ia e koho i ka palapala "kekahi." A laila, heʻahā like 'āpana he pōpilikia ma ka haʻilula: S = a ^2.

Ua ua hikiwawe i loaa mai ka mea e ua ikea no ka rectangle. Ma ka mea, i ka lōʻihi a me ka laula, ua mahuahua iho la lakou. Ka huinahalike, kēia mau hehee wale, ua like. No laila, i loko o kēia haʻilula mea akaka i ka huinahalike waiwai.

Haʻilula, kahi o ka diagonal loa makamake nui

He ka hypotenuse o ka triangle konaʻaoʻao i nā wāwae o ka huahelu. Nolaila, ua hiki ke hoʻohana i ka Pythagorean theorem helu kaulike a me ka auaiaea, kahi o kaʻaoʻao ua kaheaia ma ka diagonal.

Me ia ano loli ', ua loaʻa i ka wahi o ka huinahalike ma diagonal ho omaulia ma ka kēia haʻilula:

S = b ^2/2. Eia ka palapala D Kû ka diagonal o ka huinahalike.

a puni ke anapuni o ka haʻilula

Ma ia wahi, i hiki ia mea e pono ai i ka hoike i kaʻaoʻao ma ka anapuni, a e panai ia i loko o ka wahi haʻilula. Mai kaʻaoʻao ia i loko o ka huahelu eha, i ke anapuni e i e e puunaueia ka 4. kēia e ia i ka waiwai o ka lima, a hiki laila, e hookomoia iloko o ka loiloi mua, a helu i ka wahi o ka huinahalike.

Ke haʻilula nui mea like penei: S = (P / 4) ^2.

Hana nui loa ia no ka ho

Helu 1. Aia ka he ahalike. I ka huina o elua o kona aoao like i 12 knm, e huli i ka wahi o ke kuea a me kona anapuni.

Olelo hooholo. No ka mea, haawi mai i ka huina o nāʻaoʻaoʻelua, ia mea e pono ke ike i ka lōʻihi o kekahi. No ka mea, i ka ia, he kekahi helu o oe wale pono e e maheleia i elua. Ie ma kaʻaoʻao o ka huahelu mea 6 knm.

A laila, i ke anapuni, a me ka wahi hiki ke hoopuni mau hōʻailona i hoʻohana 'ana i ka haʻilula. Ka mea mua o 24 knm, a me ka lua - 36 knm ^2.

Pane. Ke anapuni o ka huinahalike , he 24 knm, a me kona wahi - 36 knm ^2.

Helu 2. E huli mai wahi o ka huinahalike me ka anapuni o ka 32 mm o.

Olelo hooholo. Aloha panai i ke anapuni cia i loko o ka haʻilula palapala ma luna. ʻOiai oe ke aʻo muaʻaoʻao o ka huinahalike, a wale laila kona wahi.

Ma nā hihia a pau, ai ka hana, e hele mua mahele, a laila exponentiation. Simple ho alakai i ka mea i ka wahi ua poe ma ka huinahalike o ka 64 mm o ^2.

Pane. Ke huli āpana He 64 mm o ^2.

3. helu o ka hale, he 4 dm. Ke rectangle nui like 'ole: 2 a me 6 dm. Ma i o kēia mau huahelu nui wahi? Pehea nui?

Olelo hooholo. E kaʻaoʻao o ka hale, e e ia me ka palapala he _1, alaila ka lōʻihi a me ka laula o ka rectangle, a ₂ a me _2. E hoʻoholo i ka wahi o ka huinaha like me ka waiwai ₁ ua ea e Kuea, rectangle a - hoonui loa i ka _2, a me ka _2. Ua Aloha maʻalahi.

Ua huli mai i ka wahi o ka hale, he 16 dm ^2, a me ka rectangle - 12 dm ^2. ʻae nō hoʻi, i ka huahelu mua oi aku ia mamua o ka lua. He mea hoʻowahāwahā i ka mea i ka mea, i like wahi,ʻo ia hoʻi, i ka ia anapuni. E nānā, e hiki e huli i ke anapuni. Ka huinahalikeʻaoʻao pono e hoonuiia e 4, e kiʻi i ka 16 dm. I rectangle pelupelu iaʻaoʻao, a hoolaha ma 2. It e ia i ka ia helu.

Ka pilikia mea e pane i ma ka nui o na wahi iʻokoʻa. No keia helu ua unuhi ia mai ka nui emi. Ke koena unuhi Ua like ia 4 dm ^2.

Pane. Mika pāhoʻonui lua, he 16 ^dm2 a me 12 dm ^2. Ke huinahalike Ua oi aku 4 dm ^2.

Ke aa no ka ike maopopo ana

Kulana. Ma catheters isosceles akau triangle kūkulu ahalike. Kona kukulu hypotenuse kiekie ma i kekahi huinahalike kukuluia. Lilo i ka mea mua wahi mea palua nui ma mua o ka hope.

Olelo hooholo. Mākou mai i ka notation. E i ka uha mua o ka, a me ke kiʻekiʻe e holo pololei a hiki i ka hypotenuse, m. Ka wahi o ka huinahalike - S _1, o ka lua - Aloha _2.

Ka wahi o ka hale i kūkuluʻia ma luna o nā catheters he pōpilikia wale. Ka mea, ua like ia me ka ^2. Ka lua o ka waiwai mea ole pela mea.

Mua oe Pono, e ike i ka lōʻihi o ka hypotenuse. No keia mākaukau haʻilula no ka mea Pythagorean theorem. Simple loli 'alakai ai i ka' aoʻao o kēia: a√2.

No ka mea kiʻekiʻe i loko o ka equilateral triangle e holo pololei ana i ka waihona ipu, o kekahi o ka Media, a kiʻekiʻe, ka mea i hookaawale ai i ka nui triangle i loko o nā like isosceles akau triangle. No laila, ke kiekie, ua like ia me ka hapalua o ka hypotenuse. Ia mea, m = (a√2) / 2. Laila ia mea oluolu ke ike i ka wahi S _2. Ua ua ike ia e ka ^2/2.

Ua akaka no i ka mea i kākau nā loina oko ponoia mai i nā manawaʻelua. A me ka lua o ka manawa ma keia helu i emi. QED.

An hana Puzzle hihiu - Tangram

Ua ua i mai o ka huinahalike. Ua pono e nānā 'ana i kekahi rula oki i loko o kekahi mau kinona. All māhele pono e 7.

Ka mea, imply i ka holoholona hihiu, e hoʻohana a pau i loaa mai i ka mau. No ia e pono ai i ka e nā geometric kinona. No ka laʻana, rectangle, trapezoid paha parallelogram.

Akā, i oi hana hoihoi 'ka wā o nā'āpana i loaa mai ka holoholona a me nä mea silhouettes. A e huli mai i ka wahi o nā kiʻi a pau loko o ka kekahi mea i loko o ka loiloi mua huinahalike.