KumiswaImfundo FAQ futhi esikoleni

Lolu dengezi, isilinda endaweni

Emqulwini (ethathwe ngesiGreki, emazwini "roller", "roller") - umzimba weJiyomethri okuyinto kuchazwe ebusweni ngaphandle ngokuthi cylindrical, futhi izindiza ezimbili. Lezi izindiza aphambana ukuma kobuso futhi kuhambisana nomunye.

A ebusweni cylindrical - surface ukuthi etholakale ezinyakazayo Translational umugqa oqondile emkhathini. Lezi izimo abanjalo ukuthi iphuzu akhethiwe we emgceni locondzile kwenza ukuhamba ngebhayisikili ijika yohlobo flat. Lokhu emgceni locondzile ibizwa ngokuthi i-generator, kodwa ijika - umhlahlandlela.

Lolu dengezi siqukethe pair of elisekela kanye lateral cylindrical ebusweni. Sikakhiye zitholakala ngezinhlobonhlobo eziningana:

1. Isiyingi, isilinda ngqo. Ngezinye phansi uMbhalo bese perpendicular generatrix Umhlahlandlela umugqa, futhi i-eksisi wesimethri.

2. Lolu dengezi ezintweni ezingafanele. It igebe eliphakathi umugqa kwenta ubuye ugcogce phansi akuyona kuqondile.

3. eyisilinda ngenye indlela. Hyperbolic, elliptic, parabolic, nabanye.

Endaweni uMbhalo, kanye Imininingwane ndawo ubuso isilinda ngamunye kutholakala ngokwengeza izindawo izisekelo sibalo futhi endaweni ohlangothini ebusweni.

Ifomula ukuthi sinquma ndawo ingqikithi uMbhalo okwesikhathi isiyingi, isilinda ngqo:

Sp = RH + 2N 2N 2N-R2 = R (h + R).

Lateral-surface area ifuneka kancane kuyinkimbinkimbi kunalokho yonke indawo uMbhalo, kulinganiselwa ngokuvele azalane ubude umugqa Generating at azungezwe we esigabeni cross ezakhiwe indiza okuyinto perpendicular umugqa generatrix.

Le ndawo ebusweni kuya isilinda isiyingi, a isilinda kwesokudla obonwa scan into.

Skena - isikwele ukuthi unesikhathi h ukuphakama kanye P obuphelele, futhi silingana base ipherimitha.

Lokhu kusho ukuthi uMbhalo endaweni lateral ilingana endaweni ukuskena futhi ingabalwa kule formula:

Sb = PH.

Uma uthatha isiyingi, isilinda ngqo, khona-ke ngaye:

P = 2N R, futhi SB = 2N RH.

Uma uMbhalo enalokho kuthambekela, endaweni ebusweni uhlangothi ungakwazi ukukwenza kufanele kulingane umkhiqizo ubude generator yayo imigqa esigabeni cross azungezwe okuyinto perpendicular lo mugqa Generating.

Ngeshwa, akukho ifomula elula ngokuveza endaweni ebusweni lateral ka uMbhalo enalokho kuthambekela ngokusebenzisa ukuphakama kwalo kanye nemingcele kwesisekelo salo.

Ukuze abale endaweni esigabeni isilinda, kumele wazi amaqiniso ambalwa. Uma esigabeni cross kwesisekelo salo indiza kweqa, esiphambanweni-section uhlale isikwele. Kodwa lezi calandze kuzohluka, kuncike isikhundla sigaba. Enye uhlangothi kwesigaba Axial sibalo, okuyinto perpendicular base ilingana ukuphakama, kanye nezinye - ububanzi kumila isilinda. Umkhakha Sectional enjalo, ngokulandelana, lilingana umkhiqizo kolunye uhlangothi konxantathu kuya komunye, perpendicular wokuqala, noma umkhiqizo ukuphakama sibalo kuze ubukhulu kwesisekelo salo.

Uma esigabeni ISIPHAMBANO perpendicular base sibalo, kodwa ngeke idabule eksisi ukuzungeza, endaweni sigaba kuyoba ulingana umkhiqizo ukuphakama isilinda, futhi kuzithinta ezithile. Ukuze uthole kuzithinta, kubalulekile ukwakha umbuthano ezansi engaba isilinda ukubamba bese ukuhambisa it away, okuyinto umbono kwesigamu. Futhi kusukela leli phuzu udinga perpendicular engaba kusukela ezimpambanweni zomgwaqo umbuthano. Amaphuzu empambana zixhumene ne maphakathi. A phansi unxantathu - iyona edingekayo kuzithinta, ubude okuyinto ezazifunwa theorem kaPythagoras. Theorem kaPythagoras yilesi: "Isibalo izigcawu the imilenze emibili uyalingana hypotenuse yisikwele":

C2 = A2 + B2.

Uma esigabeni akuphazamisi kumila uMbhalo bese uMbhalo uqobo, futhi umugqa isiyingi, endaweni sigaba Isiphambano sitholakala njengoba indawo indilinga.

Le ndawo wombuthano ilingana:

S env. 2N =-R2.

Ukuze uthole engaba umbuthano R, kubalulekile ukuba bahlukanise ubude 2N C:

R = C \ 2N, lapho u-n - pi, njalo zezibalo ibalwa yedatha kanye circumferentially alinganayo 3.14.

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