Meesha saldhigga soo askunmay, ka xagalka ah in polygonal

manshuur kale duwan ka soo midba midka kale. Isla mar ahaantaana ay leeyihiin badan ee caadiga ah. Si aad u hesho meesha saldhigga soo askunmay, u baahan in la fahmo nooca ay tahay.

aragti guud

Askunmay waa polyhedron kasta, dhinac ka mid ah kaas oo ay leeyihiin qaab baaralalogaraam ah. Xaaladdan oo kale, salkeeda laga yaabaa polytope kasta - ka saddexagalka in n-gon ah. War sidee salka askunmay mar walba waa u siman yihiin in ay midba midka kale. Taasi ma khuseyso in ay dhinac ah - aad bay u kala duwanaan karaan in size.

In xalinta dhibaatooyinka aan la kulmeen kaliya aagga saldhigga soo askunmay. Waxay u baahan kartaa aqoon dusha dhinaca, in uu yahay, oo dhan wejiyadii aan saldhigyada. dusha Buuxi ay tahay in la ururka oo dhan wejiyadii uu ka samaysan yahay askunmay ah.

Mararka qaarkood height u muuqataa in dhibaatooyinka. Waa dadab iyo in ay salka. Dadab ah polyhedron waa qeybta ah isku xira kasta oo laba geesaha of lammaane aan tirsan wejiga isku.

Waa in la ogaadaa in degaanka ee salka askunmay a midigta ama dhigin madax banaan xagal iyaga oo Wajiyada lateral dhexeeya. Haddii ay leeyihiin qaab isku mid ah ugu Wajiyada sare iyo ka hoose, meelaha ay siman yihiin.

askunmay xagalka ah

Waa salka tiradaasi isagoo wata saddex geesaha, in uu yahay saddex-xagalka ah. Waxa uu la og yahay in ay kala duwan. Haddii xagal waa qaab, waa ku filan tahay in la xasuusto in goobta lagu qeexay by badh lugaha shaqada.

Tibaaxda xisaabta waa sida soo socota: S = ½ av.

Si aad u hesho meesha saldhigga ah saddex xagal soo askunmay qaabka guud, formula waxtar leh iyo haadbiyoodda iyo mid ka mid ah oo gacanta la qaatay qeybtii height qaadeen ku daraa.

formula koowaad waa in la qoro sida: S = √ (p (p-si fiican) (p-c) (p-c)). semiperimeter (p) waxa ay joogtaa diiwaanka, taas oo ah wadarta ka mid ah saddexda dhinac, kala qaybiyey laba.

Labaad: S = ½ _iyo n * a.

Haddii loo baahan yahay si ay u bartaan askunmay saddex xagal ah raad taas oo sax ah, ka dibna saddex xagalka waa isle. Waayo, waxay leedahay formula gaar ah: S = ¼ iyo ² * √3.

askunmay quadrangular

Salkeeda waa mid ka mid ah quadrangles yaqaan. Tani waxay noqon kartaa laydi ama afar gees ah, rhombus, ama sanduuq. Xaalad kasta, si ay u xisaabiso aagga saldhigga soo askunmay, waxay u baahan doontaa in ay formula gaar ah.

Haddii substrate ah - leydi, ay meesha waxaa lagu qeexaa sida: S = AV, halkaas oo A iyo B - leydi.

Marka ay timaado in askunmay a quadrangular, meesha ku habboon saldhig askunmay waxaa loo xisaabiyaa by formula ee square ah. Sababtoo ah taasi waxa ay soo baxday in la jiifa hoose. Oo S = ^2.

In kiiska halkaas oo salka - waa sanduuq, waxa ay u baahan doontaa isla'eg oo caynkaas ah: S = * a n _a. Waxaa dhacaya in kooxda sanduuqa oo waa mid ka mid ah rukummada ah. Markaas, si ay u xisaabiso height of baahida loo qabo in ay isticmaalaan caanaha dheeraad ah: N _a = b * dembi A. Oo weliba, xagal A waa ku xiga si ay kooxda "b" iyo height a n _oo ka soo horjeeda in geeska this.

Haddii salka askunmay waa rhombus ah, ka dibna si loo ogaado meelaha ay u baahan doontaa formula la mid ah sida in of baaralalogaraam ah (sida ay tahay in uu kiiska gaar ah). Laakiin mid ka mid sidoo kale u isticmaali karaa sida: S = ½ d ₁ d _2. Halkan, d ₁ iyo d ₂ - laba diagonals of rhombus ah.

askunmay Pentagonal

Xaaladdan oo kale waxay ku lug leedahay kala daatay ee geesoolayaasha galay saddexagal, kuwaas oo meelaha waa u fududahay in ay bartaan. Inkastoo ay dhacdo in tirooyinka waxaa laga yaabaa in tiro kala duwan ee geesaha.

Tan iyo markii ay salka soo askunmay - si joogto ah shan geesle, waxaa loo qaybin karaa shan xagalka isle. Markaas aagga saldhiga askunmay loo siman yahay bedka saddex xagal ah (eeg formula ee kor ku xusan waxaa lagu kartaa) by shan bateen.

askunmay joogtada ah hexagonal

Sida laga soo xigtay mabda'a ku tilmaamay for soo askunmay a pentagonal, waxaa suurtagal ah in ay jebiyaan lixgeesle saldhig 6 saddexagal isle. Formula raad askunmay sida la mid ah hore. Keliya waxaa ku jira aag saddex xagal isle waa in lagu dhufto lix.

Fiiri formula sidaas waa: S = 3/2 iyo ² * √3.

hawlaha

Number 1. Dana xaq askunmay qaab toosan. Its dadab loo siman yahay 22 cm, height polyhedron ah - 14 cm Xisaabi aagga saldhiga askunmay iyo dusha oo dhan ..

Go'aan. saldhig askunmay waa square, laakiin xisbiga lama yaqaan. Waxaa suurto gal ah si aad u hesho qiimaha ay dadab ah square ah (x), kaas oo la xidhiidha soo askunmay ku dadab (d) oo sarajooggeeduna (n). x ² = d ² - N ^2. Dhinaca kale, qeybta this ee "x" waa shakaal xagalka ah oo lugaha waa u siman yihiin in ay dhinaca square ah. Ie x ² = ² + ^{2 a.} Sidaasay u soo baxday in ² = (d ² - n ²⁾ / 2.

D bedel tirada 22, iyo "n" waxaa lagu bedelaa miraheeda - 14, waxaa soo baxday kooxda in square waa loo siman yahay ilaa 12 cm Hadda kaliya bartaan Fadhiyo: 12 * 12 = 144 cm ^{2 ..}

Si aad u hesho degaanka ee dusha oo dhan, waxaa lagama maarmaan ah in ay iska dhigaan qiimaha saldhigga laba jeer iyo afar afar dhinaca square. Arintaan waa u fududahay in la helo caanaha ee leydiga: tarma height iyo dhinaca salka polyhedron ah. Ie 14 iyo 12, tirada this noqon doonaa si siman u 168 cm ^2. Bedka guud ee dusha askunmay waa 960 ^cm2.

Jawaab. Meesha saldhigga soo askunmay waa loo siman yahay si 144 cm ^2. dusha oo dhan - 960 ^cm2.

Number 2. Dan askunmay xagalka ah oo joogto ah. At ee saldhiga ah waa saddex-xagalka ah oo dhinac ka mid ah 6 cm Tani dadab dhinaca wajiga waa 10 cm xisaabiyaan square: .. saldhig A iyo dusha dhinac ah.

Go'aan. Tan iyo markii ay soo askunmay sax yahay, markaas salkeeda waa xagalka ah isle. Sidaa darteed, meel 6 waa loo siman yahay si ay afar gees, oo ay ¼ iyo xididka square ah 3. xisaabinta A fudud bateen bixiyaan natiijo: 9√3 ^cm2. Tani waxay meesha ka mid salka of askunmay ah.

All wejigooda kooxda waa isku mid oo wakiil laydiga la dhinac 6 iyo 10 cm. Si loo xisaabiyo aaggooda ku filan in lagu dhufto tirooyinka. Markaasaan iyagii u badin by saddex, maxaa yeelay kooxda ayaa wajahaya in askunmay si badan. Markaas dushiisa dhinac ee meesha nabarka waa 180 cm ^2.

Jawaab. Square: substrate - 9√3 ^cm2, dusha dhinac ee soo askunmay ah - 180 cm ^2.