1 - сурет – Жазықтық конустың табанын хорда бойымен, ал бүйір бетін екі жасаушы бойымен қиып өтеді. Қима – тең бүйірлі үшбұрыш
2 - сурет – Жазықтық конустың осі арқылы өтсе, онда қимада пайда болған үшбұрыш конустың осьтік қимасы деп аталады. Қима - үшбұрыш
3 - сурет – Конусыты оның осіне перендикуляр жазықтықпен қиюға болады. Бұл жағдайда қиюшы жазықтық табан жазықтығына параллель, ал конустың қимасы – дөңгелек
4 - сурет – Конустың жасаушысы арқылы өтетін, конуспен ортақ нүктелері жоқ жазықтық конусқа жанама жазықтық деп аталады.
Негізгі формулалар
Конустың бүйір бетінің ауданы оның табан шеңберінің ұзындығы мен жасаушысының көбейтіндісінің жартысына тең:
Анықтама: Тіктөртбұрышты оның бір қабырғасынан айналдырғанда алынған геометриялық денені тік цилиндр дейміз.
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)
Егер цилиндрдің жасаушылары табандарына перпендикуляр, яғни цилиндрдің биіктігіне тең болса, онда цилиндр тік дөңгелек цилиндр деп аталады.
Егер цилиндрдің жасаушылары табандарына қандай да бір а бұрыш жасап көлбеген болса, онда цилиндрді көлбеу цилиндр деп аталады.
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)
Негізгі формулалар
Анықтама: Жарты дөңгелекті оның диаметрінен айналдырғанда шыққан геометриялық дене шар деп аталады.
Негізгі формулалар
ІV. Жаңа сабақты бекіту
Есептер шығарту
№1 есеп
Конус__12______5'>Конустың жасаушысы 12 дм және табан жазықтығына 300 бұрышпен көлбеген. Конустың биіктігін табыңыз.
Sin300=H/L, 1/2= H/12 , H=6 , Жауабы: 6 (дм)
№2 есеп
Конустың биіктігі 20 см, табанының радиусы 15 см. Бүйір бетінің ауданын табыңыз.
Sк.б.б. =ПRL
L2= H2 + R2 = 400 + 225 = 625, L= 25см
Sк.б.б. =П* 15* 25 = 375 П см2, Жауабы: 375 П см2
№3 есеп
Конустың жасаушысы 5 см, табанының радиусы 4 см. Толық бетінің ауданын табыңыз.
Sк.тол.беті =ПRL + ПR2
Sк.б.б. =П * 4 *5 = 20 П,
Sтаб =П * 42= 16П
Sк.тол.беті = 20П + 16П = 36П Жауабы: 36П (см2)
№4 есеп
D=12 см Шешуі: Sт.б= 2ПRH + 2П R2
H= 3,5 см R = D/2 = 12/2 = 6см
т/к: Sт.б=? Sц.бб= 2ПRH=2П*6*3,5=42П (см2)
Sт=2П R2= 2П*62= 72П (см2)
Sт.б= 2ПRH + 2П R2= 42П + 72П = 114П см2
Жауабы: 114П см2
V. Бос ұяшықты толтыр
-
Фигура
|
R
|
Sтаб
|
L
|
h
|
Sб.б
|
Sт.б.
|
Конус
|
12
|
|
|
5
|
|
|
Цилиндр
|
|
225п
|
---
|
20
|
|
|
Шар(сфера)
|
5
|
----
|
---
|
----
|
----
|
|
-
Фигура
|
R
|
Sтаб
|
L
|
h
|
Sб.б
|
Sт.б.
|
Конус
|
12
|
144 п
|
13
|
5
|
60 п
|
204 п
|
Цилиндр
|
15
|
225 п
|
---
|
20
|
600 п
|
825 п
|
Шар(сфера)
|
5
|
-----
|
----
|
----
|
----
|
100п
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VІ. Жаңа сабақты қорытындылау
![](data:image/png;base64,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) ![](data:image/png;base64,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)
Конус жыры
Клоунға бола аласың бас киім
Тіп – тік болып тұра аласың тас түйін
Бір катеттен айналғанда үшбұрыш
Конус болып қаланады басты үйің
VІІ. Үйге тапсырма.
1. §18 Айналу денелері: конус, шар, цилиндр
2. Оқулық бойынша №281, №282 114 бет
VІІІ. Бағалау.
ІХ. Сабақты қорыту.
Достарыңызбен бөлісу: |