Mabasa pamusoro nzvimbo yaiungana, uye zvakawanda

Izvi zvinoshamisa uye nomuzikamwi pachivara. Hazvina zvakafanana, ichibata pamusoro payo akabatana uye akatakura Tsanga yacho yaichekwa nepakati uye mumativi. A kutsvaka imwe nzvimbo ine mativi kana ruzha zvarwo hakuna kuoma. Kunyanya kana inozivikanwa divi kureba.

A mashoko mashoma pamusoro nhamba yaro zvivako

ehupfumi maviri okutanga chokuita tsanangudzo. kumativi ose mufananidzo vakaenzana nomumwe. Pashure pezvose, pachivara - ichi ndicho chakarurama rectangle. Uye chokwadi mapato vakaenzana uye pamakona vane vakaenzana kukosha, kureva - madhigirii 90. Izvi ndera wechipiri.

Wechitatu rinesungano pakureba diagonals. Naivowo, vakaenzana nomumwe. Uye piringisha kuruoko pamakona zvakarurama pakati pfungwa.

The yemaitiro iro chete inoshandiswa divi pakureba

Chokutanga, kubva pakunzi. Nokuti kureba divi akatorwa kusarudza tsamba "munhu." Zvadaro, mumwe mativi nzvimbo rinowanikwa kubudikidza nzira: S = ^2.

Zvinonzi nyore kuwana kubva munhu anozivikanwa kuti rectangle. Mariri kureba uye upamhi vawanda. The sikweya, zvinhu zviviri izvi zviri vakaenzana. Saka, muna payakavakirwa ichi rinowanikwa sikweya ukoshi.

Yemaitiro, sezvamakaropafadzwa diagonal kureba vanotaurwa

Ndicho hypotenuse ane netriangle ane mativi ndiwo makumbo nhamba. Naizvozvo, tinogona kushandisa Pythagorean theorem no mukana wokuti vanhu vanga uye goho, sezvamakaropafadzwa divi kunoratidzwa munhu diagonal.

Kuva transformations nyore kudaro, tinoona kuti nzvimbo ine mativi kuburikidza diagonal dzaona kubudikidza mutoo:

S = D ^2/2. Pano azuva tsamba anoreva diagonal pakati pachivara.

kumativi mukomberedzo of fomura

Mumamiriro ezvinhu akadaro zvakafanira kuratidza kurutivi kubudikidza mukomberedzo uye kuti kutsiva nayo kupinda nzvimbo fomura. Sezvo chete divi iri nhamba mana, kuti mukomberedzo zvichabviswa kugoverwa 4. Ichi chichava kukosha ruoko, iyo zvino inogona kubviswa kuchiiswa mu pokuiswa uye kuverenga nzvimbo pachivara.

The yemaitiro Kazhinji iri sezvinotevera: S = (P / 4) ^2.

Matambudziko nokuti Masvomhu

Number 1. Pane sikweya. Verengai maviri kumativi acho akaenzana masendimita 12. Change nzvimbo yaiungana yayo mukomberedzo.

Decision. Nekuti wakapa Verengai rwemberi, zvinokosha kuziva urefu mumwe. Sezvo ivo chete, mumwe nhamba wenyu chete anofanira huviri. Kureva kurutivi nhamba 6 cm.

Ipapo mukomberedzo uye nharaunda inogona nyore rinowanikwa nokushandisa nzira. Chokutanga ndechokuti masendimita 24, uye wechipiri - 36 masendimita ^2.

Answer. The mukomberedzo of mativi ari 24 cm uye ayo nharaunda - 36 masendimita ^2.

Number 2. Ona nzvimbo ine mativi ine mukomberedzo 32 mm.

Decision. Simply kutsiva kuti mukomberedzo ukoshi iri nzira zvakanyorwa pamusoro. Kunyange unogona kudzidza divi mativi wokutanga, uye chete ipapo nzvimbo yaro.

Muzviitiko zvacho zvose, zviito vachaenda nokupesana wokutanga uye ipapo Exponentiation. Simple Masvomhu kutungamirira ndechokuti nzvimbo inomiririrwa mativi ose 64 mm ^2.

Answer. Search nzvimbo iri 64 mm ^2.

3. nhamba mativi ari 4 dm they. The rectangle sizes: 2 uye 6 dm they. Umo izvi nhamba mbiri nzvimbo yakakura? Vangani?

Decision. Ngaatorerwe kurutivi mativi achaiswa segwapa pamwe tsamba _1, ipapo urefu uye upamhi rectangle uye ₂ uye _2. Kuti tizive nzvimbo ine mativi sezvo mutengo ₁ Vanzveri padare, rectangle uye - vachiwedzera ₂ uye _2. Zviri nyore.

Zvakaratidza kuti nzvimbo yacho mativi ari 16 dm they ^2, uye rectangle - 12 dm they ^2. Zviri pachena, wokutanga mufananidzo mukuru wechipiri. Izvi pasinei vane nzvimbo yakaenzana, kureva zvakafanana mukomberedzo. Kuti tione, unogona ngaaverenge mukomberedzo. The mativi divi rinofanira kane 4, iwe uende 16 dm they. In rectangle akapeta divi uye muwande ne 2. Zvichavawo nhamba iyoyo.

Dambudziko iri kupindura asi kuti nzvimbo dzakawanda dzakasiyana. To nhamba iri subtracted kubva yakakura zvishoma. Musiyano akaenzana 4 dm they ^2.

Answer. Dzinoungana vane 16 ^dm2 uye 12 dm they ^2. The sikweya kunopfuura 4 dm they ^2.

Dambudziko uchapupu

Condition. On catheters isosceles netriangle rworudyi kuvakwa dzakaenzana. Its akavaka hypotenuse kukwirira sezvavakatarirwa mumwe sikweya yakavakwa. Ratidza kuti nzvimbo yokutanga ndiyo yakakura kaviri pane chechipiri.

Decision. We kuzozivisa notation. Regai gumbo iri, uye kukwirira wakavhomorwa kusvika hypotenuse, x. Nzvimbo imwe sikweya - S _1, wechipiri - S _2.

Nzvimbo yaiungana yakavakwa pamusoro catheters rinowanikwa nyore. Zviri akaenzana ^2. Kukosha yechipiri haisi nyore.

First unofanira kuziva Kureba hypotenuse. Nokuti ichi batsira payakavakirwa nokuda Pythagorean theorem no. Simple transformations kukonzera zvinotevera mashoko: a√2.

Sezvo nokukwirira ane equilateral netriangle pedyo nechigadziko, ndiko evaMedhia uye kukwirira, inokamura hombe, triangle kupinda maviri akaenzana isosceles zvakanaka Triangle. Saka, kureba akaenzana hafu hypotenuse. Kureva, x = (a√2) / 2. Nokudaro zviri nyore kuziva nzvimbo S _2. Unowanikwa kuva ^2/2.

Zviri pachena kuti zvakanyorwa zvinokosheswa zvinosiyana chaizvo kaviri. Uye kechipiri nhamba iyi iduku. QED.

Kujairika dambanemazwi mutambo - Tangram

Zvinonzi wakaitwa sikweya. Inofanira kwakavakirwa mitemo chaiyo racherwa zvitarisiko siyana. zvikamu zvose zvinofanira kuva 7.

Anoratidza kuti mutambo achashandisa zvose akagamuchira zvinhu. Of kwavari kuva vamwe geometric zvitarisiko. Somuenzaniso, rectangle, trapezoid kana parallelogram.

Asi kunyange kunakidza kana zvidimbu vari vakawana kubva mhuka kana anoramba silhouettes. Uye zvinoitika kuti nzvimbo yose manhamba hwokurara ndiye akanga ari kutanga pachivara.