Haka kuma yi nazarin Misalan Tambayoyi na Cibiyar Nauyi
Fahimtar Cibiyar Nauyi
Ana ɗaukar abu mai tauri a matsayin wanda ya ƙunshi ƙwayoyin cuta da yawa saboda wannan ƙarfin nauyi yana aiki akan kowanne daga cikin waɗannan ƙwayoyin. A wata ma'anar, kowane ƙwayar cuta yana da nasa nauyin. Cibiyar nauyi ta abu ita ce wuri a kan ko kusa da abin inda aka tattara nauyin dukkan sassan abin.
Idan abu ya yi kama da juna (yawan wasu abubuwa iri ɗaya ne ko kuma abin ya ƙunshi kayan iri ɗaya) kuma siffar abin ta yi daidai (misali murabba'i, murabba'i mai kusurwa huɗu, da'ira) to cibiyar nauyi ta abu ta yi daidai da tsakiyar nauyin abin da ke tsakiyar abin. Ga alwatika, tsakiyar nauyi yana nan a 1/3 h, inda h = tsayin alwatika.
Tsarin Tsarin Nauyi na Cibiyar Nauyi
Idan siffar abu ta yi daidai kuma abu ya yi kama da juna to cibiyar nauyi ta yi daidai da cibiyar nauyi ta abu, inda tsakiyar nauyi kuma tsakiyar taro yana tsakiyar abin. Akasin haka, idan abin ya yi kama da juna amma ba daidai ba, za a iya tantance matsayin cibiyar nauyi ta abu ta amfani da dabarar da ke ƙasa:
Bayani:
x = tsakiyar abin da ke kan axis ɗin x, y = tsakiyar abin da ke kan axis ɗin y, A = yankin abin.
Misalin matsalolin
1. Tambayar Jarrabawar Ƙasa ta 2011/2012 C61 No.12
Kalli hoton wani jirgin sama mai kama da juna! Wurin da tsakiyar nauyi na tsarin abu yake a cikin alkiblar y daga wurin Q shine…
A. 1,00 cm
B. 1,75 cm
C. 2,00 cm
D. 3,00 cm
E. 3,25 cm
Tattaunawa
Raba abin zuwa sassa biyu, kashi na 1 = murabba'i, kashi na 2 = alwatika.
A1 = (12,5)(2) = 25
A2 = ½ (12,5-2,5)(3) = ½ (10)(3) = (5)(3) = 15
y1 = ½ (2) = 1
y2 = 1/3 (3) + 2 = 1 + 2 = 3
Daidaito na tsakiyar nauyi na abu a kan axis-y:
Maki na Q = baƙar fata da ke ƙasan tsakiyar abin.
Amsar da ta dace ita ce B.
2. Tambayar Jarrabawar Ƙasa ta 2011/2012 A81 No.12
Matsayin tsakiyar nauyi na siffar jirgin sama kamar yadda aka nuna a hoton da ke gefen x-axis shine...
A. 4,5 cm
B. 4 cm
C. 3,5 cm
D. 3 cm
E. 2 cm
Tattaunawa
Raba abin zuwa sassa biyu, kashi na 1 = murabba'i, kashi na 2 = alwatika.
A1 = (6-0)(3-0) = (6)(3) = 18
A2 = ½ (6-3)(6-3) = ½ (3)(3) = 4,5
y1 = ½ (3) = 1,5
y2 = 1/3 (6-3) + 3 = 1/3 (3) + 3 = 1 + 3 = 4
Daidaito na tsakiyar nauyi na abu a kan axis-y:
Amsar da ta dace ita ce E.
3. Tambayoyin Jarrabawar Ƙasa ta 2018
Kula da waɗannan kalamai:
(1) Maimaita tsarin tantance layin da ke kan kwali daga wurare daban-daban da aka rataye, sannan a yi alama a mahadar layukan biyu a matsayin cibiyar nauyi na kwali.
(2) A ɗaure ƙarshen zare ɗin a kan allurar sannan a ɗora mata nauyi sannan a manna allurar a cikin kwali.
(3) Zana layi a kan ɗigon da ke kan kwali.
(4) Yi alama a wuraren da ke kan zaren da ke kan kwali.
(5) rataye kwalin ta hanyar riƙe tushen allurar
Domin tantance wurin da tsakiyar nauyi na wani kwali mara tsari yake, daidaitaccen jerin matakai shine...
Tattaunawa
Tsarin matakai daidai shine 2, 5, 4, 3, da 1.
