Ntchito za dera lalikulu, ndi zambiri

Chonchi ndi lalikulu bwino. Ndi symmetrical za likulu lake olamulira natengedwa diagonally pakati pa mzinda ndi mbali. Kufufuza malo apakati kapena buku ambiri si wovuta. Makamaka ngati amadziwika mbali kutalika.

mawu ochepa A za chithunzi ndi katundu

Woyamba katundu awiri imakhudzana ndi tanthawuzo. mbali zonse zimakwana ofanana ndi mnzake. Ndipotu, lalikulu - ichi ndi rectangle bwino. Ndipo iye mapwando onse ndi ofanana ndipo kumathandiza kupeza ngodya zabwino ndi lofunika mofanana, ndicho - madigiri 90. Ichi chuma chachiwiri.

wachitatu chokhudzana ndi kutalika diagonals lapansi. Nawonso, ndi ofanana ndi mnzake. Ndipo intersect pa kumathandiza kupeza ngodya zabwino pakati pa mfundo.

Chilinganizo chimene ntchito okha kutalika mbali

Choyamba, pa chikhazikitso cha. Kwa kutalika kwa mbali anatengedwa kusankha kalata "a." Ndiye, dera lalikulu kuchita masamu mfundo: S = ^2.

Iwo mosavuta kuwapeza amene amadziwika rectangle lapansi. Mmenemo m'litali ndi m'lifupi akuchulukitsidwa. Lalikulu, magulu awiriwa ngofanana. Choncho, dongosolo uyu amaoneka mtengo lalikulu.

Chilinganizo, mmene kutalika opendekera kudziika

Ndi hypotenuse wa kansalu amene adzamenyane ndi miyendo ya maonekedwe. Choncho, tikhoza kugwiritsa ntchito Pythagorean Lingaliro Lovomerezeka aone kuti pali ndipo linanena bungwe, mmene mbali chimaoneka ndi opendekera.

Kukhala masinthidwe chosavuta, ife tikupeza kuti dera apakati kudzera opendekera masamu ndi chilinganizo zotsatirazi:

S = D ^2/2. Apa kalata D akutanthauza opendekera a lalikulu.

padziko kukafika kutsogolo kwa njira

Zikatere m'pofunika kusonyeza mbali mwa wozungulira ndipo m'malo mu malo chilinganizo. Kuyambira kumbali imodzi mu chithunzi anayi, kukafika kutsogolo adzayenera akufufuta 4. Chimenechi chidzakhala mtengo wa dzanja, zimene ndiye mmalo mu koyamba ndi kuwerengera dera lalikulu.

Ndondomeko ambirife motere: S = (P / 4) ^2.

Mavuto anapezazo ndi

Number 1. Pali lalikulu. Uwerenge awiri a m'mbali mwake wofanana masentimita 12. Ŵerengerani dera lalikulu ndi wozungulira ake.

Kusankha. Chifukwa anapatsidwa Uwerenge mbali ziwiri, m'pofunika kudziwa kutalika kwa wina. Popeza ndinu yemweyo, ndi ena ambiri a inu muyenera kuti kugawidwa m'magulu awiri. Ie mbali ya chithunzi ndi 6 cm.

Ndiye kukafika kutsogolo ndi malo mosavuta masamu pogwiritsa ntchito njira. Woyamba ndi masentimita 24, ndipo chachiwiri - 36 masentimita ^2.

Yankho. Kukafika kutsogolo kwa lalikulu ndi 24 cm, ndi malo ake - 36 masentimita ^2.

Number 2. Pezani malo a apakati ndi kukafika kutsogolo kwa 32 mm.

Kusankha. Mwachidule mmalo phindu wozungulira dongosolo olembedwa pamwambapa. Ngakhale mungaphunzire mbali yoyamba lalikulu, ndiyeno kokha malo ake.

Nthawi zonse, zimene adzapita gulu loyamba kenako exponentiation. kuwerengetsera Simple kutsogolera chakuti m'dera ukufanizidwa ndi apakati 64 mamilimita ^2.

Yankho. M'dera yakusaka 64 mamilimita ^2.

3. chiwerengero cha lalikulu ndi 4 DM. The rectangle makulidwe: 2 ndi 6 DM. Zomwe Chiwerengerochi awiri lokulirapo? Ndi angati?

Kusankha. Lolani mbali ya lalikulu siidzasoŵa ndi kalata ya _1, ndiye m'litali ndi m'lifupi rectangle ndi ₂ ndi _2. Kudziwa dera lalikulu ngati mtengo ₁ amaganiza kuti lalikulu, rectangle ndi - kuchulukitsa ₂ ndi _2. Ndi zovuta.

Iwo likukhalira kuti dera lalikulu 16 DM ^2, ndi rectangle - 12 DM ^2. Mwachionekere, chithunzi choyamba kuposa wachiwiri. Izi ngakhale kuti iwo ndi malo ofanana, ndiko, ndi kukafika kutsogolo chomwecho. Kuti muone, mukhoza kuwerengera wozungulira. The mbali lalikulu ayenera kuchulukitsa ndi 4, inu kupeza 16 DM. Mu rectangle apangidwe mbali ndi chulukanani ndi 2. Zidzakhala nambalayi.

vuto ndi kuyankha koma mmene madera ambiri osiyana. Kuti nambala iyi ndi subtracted kwa akuluakulu zochepa. Kusiyana ndiyofanana 4 DM ^2.

Yankho. Mabwalo ndi 16 ^dm2 ndi 12 DM ^2. Lalikulu kwambiri kuposa 4 DM ^2.

Zimakhala zovuta kuti umboni

Chikhalidwe. Pa catheters isosceles makona bwino anamanga lalikulu. Ake kutalika anamanga hypotenuse limene lalikulu wina anamanga. Kutsimikizira kuti Mzinda woyamba ndi kawiri lalikulu kuposa masika.

Kusankha. Ife anayamba kalembedwe. Tiyeni mwendo ndi, ndi kutalika kukopeka hypotenuse ndi, x. Dera lalikulu la - S _1, wachiwiri - S _2.

Dera lalikulu anamanga pa catheters ndi kuchita masamu chabe. Ndi ofanana ndi ^2. Phindu lachiwiri si yapafupi.

Choyamba muyenera kudziwa kutalika kwa hypotenuse lapansi. Pakuti chilinganizo imeneyi imathandiza kuti Lingaliro Lovomerezeka Pythagorean. Zambiri masinthidwe kuyambitsa mawu otsatirawa: a√2.

Popeza msinkhu ndi makona equilateral kukopedwa maziko a, alinso apakatikati ndi kutalika, izo ukugawa kansalu mubwatolo awiri isosceles ofanana makona bwino. Choncho, kutalika ndi wofanana ndi theka la hypotenuse. Ndiko kuti, × = (a√2) / 2. Motero n'zosavuta kudziwa malo S _2. Umapezeka kukhala ^2/2.

Nzowonekeratu kuti mfundo olembedwa amasiyana ndendende kawiri. Ndipo kachiwiri mu chiwerengero ichi ndi zochepa. QED.

An chithunzi masewera zachilendo - Tangram

Zikhale za mbali zinayi zofanana. Izo ziyenera kuchokera pa malamulo kusema akalumikidzidwa osiyana. mbali zonse ayenera kukhala 7.

Akusonyeza kuti masewera ntchito onse analandira zinthu. Amene muyenera kukhala akalumikidzidwa ena zojambula. Mwachitsanzo, rectangle, trapezoid kapena parallelogram.

Koma ngakhale kwambiri pamene zidutswa amene analandira nyama kapena akutsutsa silhouettes. Ndipo likukhalira kuti dera kanjedza zonse zichokera ndi amene anali m'bwalo koyamba.