Muenzaniso wemubvunzo wekukurukurirana pamusoro penzvimbo yemadenderedzwa maviri

Mibvunzo Yemuenzaniso Yekukurukura Nzvimbo Yemadenderedzwa Maviri

Pendauluan

Denderedzwa ndeimwe yemaumbirwo ekutanga mu geometry atinowanzo sangana nawo mumatambudziko akasiyana-siyana emasvomhu. Kudzidza nzvimbo yemadenderedzwa maviri inyaya yakakosha nekuda kwekushandiswa kwayo kwakawanda muhupenyu hwezuva nezuva. Mumasvomhu, nzvimbo yemadenderedzwa maviri inogona kuongororwa nekuongorora nzvimbo dzawo zvichienderana nedaro riri pakati penzvimbo dzawo neradii dzawo.

Pfungwa yeChinzvimbo cheMadenderedzwa maviri

Kuti tizive nzvimbo yemadenderedzwa maviri, tinoshandisa ma parameter akati wandei makuru:
1. Nharaunda yedenderedzwa rekutanga (r1)
2. Radiyo yedenderedzwa rechipiri (r2)
3. Kureba pakati penzvimbo dzedenderedzwa mbiri (d)

Zvichibva pamaonero aya, pane nzvimbo dzinoverengeka dzinogona kunge dziripo dzemadenderedzwa maviri aya:
1. Denderedzwa rakakombama kubva kunze
– Zvinoitika kana d = r1 + r2.
2. Madenderedzwa anobatana kubva mukati
– Zvinoitika kana d = |r1 – r2|.
3. Madenderedzwa akapatsanurana
– Zvinoitika kana |r1 – r2| < d < r1 + r2. 4. Madenderedzwa haana kubatana - Zvinoitika kana d > r1 + r2.
5. Denderedzwa rimwe riri mukati medenderedzwa rimwe risina kubata
– Zvinoitika kana d < |r1 - r2|. 6. Madenderedzwa anopindirana mukati chaimo - Zvinoitika kana d = 0 uye r1 = r2 (ose ari denderedzwa rimwe chete).

Mibvunzo yeMienzaniso neKukurukurirana Ngationgororei mimwe mienzaniso yemibvunzo kuti tinzwisise zviri nani nzvimbo yemadenderedzwa maviri. Muenzaniso Mubvunzo 1: Madenderedzwa Anopatsanurana Kunze Mubvunzo: Tichipa madenderedzwa maviri ane nzvimbo dziri pakati pemapoinzi A neB, uye daro AB riri 10 cm. Radius yedenderedzwa rekutanga i 6 cm, nepo radius yedenderedzwa rechipiri iri 4 cm. Sarudza nzvimbo yemadenderedzwa maviri. Kukurukurirana: - Tichipa: - Radius yedenderedzwa rekutanga, r1 = 6 cm - Radius yedenderedzwa rechipiri, r2 = 4 cm - Daro riri pakati penzvimbo dzemadenderedzwa, d = 10 cm Kune mamiriro ekunze: \[ d = r1 + r2 \] Isa mavalues: \[ d = 6 + 4 \] \[ d = 10 \] Sezvo d = 10 cm, iyo yakaenzana nehuwandu hwe r1 ne r2, madenderedzwa maviri aya anopatsanurana kunze. Muenzaniso Mubvunzo 2: Madenderedzwa Anopindirana Mukati Mubvunzo: Madenderedzwa maviri ane radii ye 8 cm uye 3 cm zvichiteerana ane daro pakati penzvimbo dzawo dze 5 cm. Sarudza nzvimbo yemadenderedzwa maviri. Kukurukurirana: - Zvakapihwa: - Radius yedenderedzwa rekutanga, r1 = 8 cm - Radius yedenderedzwa rechipiri, r2 = 3 cm - Daro riri pakati penzvimbo dzedenderedzwa, d = 5 cm Kune mamiriro ekubatana kwemukati: \[ d = |r1 - r2| \] Verenga: \[ d = |8 - 3| \] \[ d = 5 \] Sezvo d = 5 cm, iyo yakaenzana nemusiyano we r1 na r2, madenderedzwa maviri aya anopindirana mukati. Muenzaniso Mubvunzo 3: Madenderedzwa Anopindirana Mubvunzo: Madenderedzwa maviri ane radii ye 7 cm ne 5 cm zvichiteerana nedaro pakati penzvimbo dzawo dze 9 cm. Sarudza nzvimbo yemadenderedzwa maviri. Kukurukurirana: - Zvakapiwa: - Radius yedenderedzwa rekutanga, r1 = 7 cm - Radius yedenderedzwa rechipiri, r2 = 5 cm - Daro pakati penzvimbo dzemadenderedzwa, d = 9 cm Pamamiriro ekubatana: \[ |r1 - r2| < d < r1 + r2 \] Verenga: \[ |7 - 5| < 9 < 7 + 5 \] \[ 2 < 9 < 12 \] Sezvo kukosha kwe d kuri pakati pe |r1 - r2| uye r1 + r2, madenderedzwa maviri aya anopindirana. Muenzaniso Mubvunzo 4: Madenderedzwa Akaparadzana Mubvunzo: Madenderedzwa ane radii ye 2 cm ne 3 cm ane daro pakati penzvimbo dzawo dze7 cm. Sarudza nzvimbo yemadenderedzwa maviri. Kukurukurirana: - Zvakapiwa: - Radiyo yedenderedzwa rekutanga, r1 = 2 cm - Radiyo yedenderedzwa rechipiri, r2 = 3 cm - Daro riri pakati penzvimbo dzedenderedzwa, d = 7 cm Kune mamiriro akaparadzana: \[ d > r1 + r2 \]

Kuverenga:
\[ 7 > 2 + 3 \]
\[ 7 > 5 \]

Sezvo d iri huru pane huwandu hwe r1 na r2, madenderedzwa maviri aya akaparadzana.

Muenzaniso Mubvunzo 5: Denderedzwa Rimwe Mukati Merimwe Pasina Kubata

Mubvunzo:
Madenderedzwa maviri ane radii ye 8 cm uye 2 cm zvichiteerana ane chinhambwe pakati penzvimbo dzawo dze 5 cm. Sarudza nzvimbo yemadenderedzwa maviri.

Kukurukurirana:
- Zvinozivikanwa:
– Radiyo yedenderedzwa rekutanga, r1 = 8 cm
– Radiyo yedenderedzwa rechipiri, r2 = 2 cm
– Daro riri pakati penzvimbo dzedenderedzwa, d = 5 cm

Nezvemamiriro eimwe iri mukati meimwe isina kubata:
\[ d < |r1 - r2| \] Verenga: \[ d < |8 - 2| \] \[ 5 < 6 \] Sezvo d iri diki pane musiyano uripo pakati pe r1 ne r2, denderedzwa rimwe riri mukati merimwe risingabatani. Mhedziso Kunzwisisa nzvimbo yemadenderedzwa maviri kunogona kutibatsira mukushandiswa kwakasiyana-siyana kwe geometry uye maitiro chaiwo. Nekuziva hukama huripo pakati pe radius yedenderedzwa nedaro riri pakati penzvimbo dzaro, tinogona kuona kana madenderedzwa maviri akabatana kunze kana mukati, achibatana, kana kuti asina kubatana. Kuburikidza nemienzaniso iri pamusoro, zvinotarisirwa kuti vaverengi vanogona kunzwisisa pfungwa iyi zviri nani uye kuishandisa mumamiriro akasiyana-siyana emasvomhu. Ramba uchidzidzira matambudziko akasiyana-siyana kuti unatsiridze hunyanzvi hwako hwekuongorora uye kunzwisisa nzvimbo yemadenderedzwa maviri. Kana ukanyanya kudzidzira, zvichava nyore kwatiri kugadzirisa matambudziko akasiyana-siyana ane chekuita nemadenderedzwa mu geometry.