Tusaale su'aal dood ah oo ku saabsan mowqifka laba goobood

Su'aalo Tusaale ah oo Ka Hadlaya Mowqifka Laba Goobood

Pendahuluan

Goobogu waa mid ka mid ah qaababka aasaasiga ah ee joomatari ee aan inta badan la kulanno dhibaatooyin xisaabeed oo kala duwan. Barashada booska laba goobood waa mowduuc muhiim ah sababtoo ah codsiyo badan oo ku jira nolol maalmeedka. Xisaabta, booska laba goobood waxaa lagu falanqeyn karaa iyadoo la baarayo boosaskooda qaraabada ah iyadoo lagu saleynayo masaafada u dhaxaysa xarumahooda iyo raadka ay ku leeyihiin.

Fikradda Mowqifka Laba Goobood

Si loo go'aamiyo booska laba goobood, waxaan isticmaalnaa dhowr xuduudood oo muhiim ah:
1. Gacanka wareegga koowaad (r1)
2. Gacanka wareegga labaad (r2)
3. Masaafada u dhaxaysa xarumaha labada goobood (d)

Iyada oo ku saleysan qiimayaashan, waxaa jira dhowr boos oo suurtagal ah oo labada goobood ah:
1. Goobogu waa mid ka soo horjeeda dibadda
– Waxay dhacdaa haddii d = r1 + r2.
2. Goobo ayaa iska soo gala gudaha
– Waxay dhacdaa haddii d = |r1 – r2|.
3. Goobo isgoys ah
– Waxay dhacdaa haddii |r1 – r2| < d < r1 + r2. 4. Goobo waa kala go'an yihiin - Waxay dhacdaa haddii d > r1 + r2.
5. Hal goobaabo gudaha goobaabo kale iyada oo aan la taaban
– Waxay dhacdaa haddii d < |r1 - r2|. 6. Goobo ayaa si sax ah isugu xidhma gudaha - Waxay dhacdaa haddii d = 0 iyo r1 = r2 (labaduba waa isku goobood).

Su'aalo iyo Doodo Tusaale ah Aan dib u eegno su'aalo tusaale ah si aan si fiican u fahanno booska laba goobood. Tusaale Su'aal 1: Goobo Isgoysyada Dibadda Su'aal: Marka la eego laba goobood oo leh xarumo ku yaal dhibco A iyo B, masaafada AB-na waa 10 cm. Gacanka wareegga koowaad waa 6 cm, halka gacanka wareegga labaadna uu yahay 4 cm. Go'aami booska labada goobood. Dood: - Marka la eego: - Gacanka wareegga koowaad, r1 = 6 cm - Gacanka wareegga labaad, r2 = 4 cm - Masaafada u dhaxaysa xarumaha wareegyada, d = 10 cm Xaaladda isku-dhafka dibadda: \[ d = r1 + r2 \] Geli qiimayaasha: \[ d = 6 + 4 \] \[ d = 10 \] Maadaama d = 10 cm, oo la mid ah wadarta r1 iyo r2, labada goobood ay si dibadda ah isu galaan. Tusaale Su'aal 2: Goobo Isku Dhacay Gudaha Su'aal: Laba goobood oo leh 8 cm iyo 3 cm siday u kala horreeyaan waxay leeyihiin masaafo u dhaxaysa xarumahooda oo ah 5 cm. Go'aami booska labada goobood. Dood: - La bixiyay: - Gacanka wareegga koowaad, r1 = 8 cm - Gacanka wareegga labaad, r2 = 3 cm - Masaafada u dhaxaysa xarumaha goobooyinka, d = 5 cm Xaaladda xiriirka gudaha: \[ d = |r1 - r2| \] Xisaabi: \[ d = |8 - 3| \] \[ d = 5 \] Maadaama d = 5 cm, oo la mid ah farqiga r1 iyo r2, labada goobood waxay isku xiraan gudaha. Tusaale Su'aal 3: Goobo Isgoys ah Su'aal: Laba goobood waxay leeyihiin xarigyo 7 cm iyo 5 cm siday u kala horreeyaan iyadoo masaafada u dhaxaysa xarumahooda ay tahay 9 cm. Go'aami booska labada goobood. Dood: - La bixiyay: - Gacanka wareegga koowaad, r1 = 7 cm - Gacanka wareegga labaad, r2 = 5 cm - Masaafada u dhaxaysa xarumaha wareegyada, d = 9 cm Xaaladda isgoysyada: \[ |r1 - r2| < d < r1 + r2 \] Xisaabi: \[ |7 - 5| < 9 < 7 + 5 \] \[ 2 < 9 < 12 \] Maadaama qiimaha d uu u dhexeeyo |r1 - r2| iyo r1 + r2, markaas labada goobood way isgoysmaan. Tusaale Su'aal 4: Goobo Isku-dhafan oo Kala-go'an Su'aal: Goobo leh 2 cm iyo 3 cm waxay leeyihiin masaafo u dhaxaysa xarumahooda oo ah 7 cm. Go'aami booska labada goobood. Dood: - La bixiyay: - Gacanka wareegga koowaad, r1 = 2 cm - Gacanka wareegga labaad, r2 = 3 cm - Masaafada u dhaxaysa xarumaha goobooyinka, d = 7 cm Xaaladaha isku-dhafan: \[ d > r1 + r2 \]

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

Maadaama d uu ka weyn yahay wadarta r1 iyo r2, labada gooboodba way kala fog yihiin.

Tusaale Su'aal 5aad: Hal Goobo Gudaha Midka Kale Iyada Oo Aan La Taaban

Su'aal:
Laba goobood oo leh dheegyo 8 cm ah iyo 2 cm ah siday u kala horreeyaan waxay leeyihiin masaafo u dhaxaysa xuduntahooda oo ah 5 cm. Go'aami booska labada goobood.

Dood:
– Waa la yaqaan:
– Gacanka wareegga koowaad, r1 = 8 cm
– Gacanka wareegga labaad, r2 = 2 cm
– Masaafada u dhaxaysa xarumaha goobooyinka, d = 5 cm

Xaaladda mid ka mid ah gudaha kan kale iyada oo aan la taaban:
\[ d < |r1 - r2| \] Xisaabi: \[ d < |8 - 2| \] \[ 5 < 6 \] Maadaama d uu ka yar yahay farqiga u dhexeeya r1 iyo r2, hal goobaabo ayaa gudaha kale ku jirta iyada oo aan la taaban. Gunaanad Fahmidda booska laba goobaabo waxay naga caawin kartaa codsiyada kala duwan ee joomatari iyo ku dhaqanka adduunka dhabta ah. Marka la aqoonsado xiriirka ka dhexeeya gacanka goobaabo iyo masaafada u dhaxaysa xarumaheeda, waxaan go'aamin karnaa in labada goobaabo ay si dibadda ah ama gudaha ah u taabtaan, isgoysmaan, ama ay kala go'an yihiin. Iyada oo loo marayo tusaalooyinka kor ku xusan, waxaa la rajeynayaa in akhristayaashu ay si fiican u fahmi karaan fikraddan oo ay ku dabaqi karaan xaalado xisaabeed oo kala duwan. Sii wad ku celcelinta dhibaatooyinka leh kala duwanaansho kala duwan si aad u horumariso xirfadahaaga falanqaynta iyo fahamka booska laba goobaabo. Inta badan ee aad ku tababarto, ayay noo fududaan doontaa inaan xallino dhibaatooyin kala duwan oo ku lug leh goobo joomatari.