IІІ. Жаңа сабақты бекіту.
Оқулықпен жұмыс.
№274
![](data:image/png;base64,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) 1,2 м, 3 м, 6 м өлшемдері бойынша тікбұрышты параллелепипедтің
көлемі мен толық бетінің ауданын табыңдар
Берілгені: а=1,2 м. в=3 м. с=6 м.
Табу керек: V , Sтб
V=a∙b∙c=1,2∙3∙6=21,6 смᶾ
Sтб=2(ав+ас+вс)=2(1,2∙3+1,2∙6+3∙6)=2(3,6+7,2+18)=2∙28,8=57,6см²
№278
Пирамиданың табаны- қабырғасы 4 см-ге тең квадрат,
бүйір жақтары биіктігі 5 см болатын теңбүйірлі үшбұрыштар.
Пирамиданың толық бетінің ауданын табыңдар.
Бер: пирaмида
АВ=ВС=ДС=АД=4см
SD=SC
SK=5 cм
Т/к: Sтб
Т/ү: Sтб=4∙Ssдс+ Sавсд
Ssдс = DC∙SK = ∙ 4∙5=10cм²
Sавсд=AB² =4² =16 cм²
Sтб =4∙10+16=56cм²
№279
Тік призманың – табаны- қабырғасы 10 см болатын
дұрыс үшбұрыш. Призманың бүйір қыры 13 см.
Тік призманың толық бетінің ауданын табыңдар.
Бер: призма
АВ═ВС═АС═10 см
АА₁═13 см
Т/к:Sтб
Т/ү: Sтб═Sбб + 2 ∙ Sтаб
Sбб═3∙ Sбж═3∙10∙13═390 см²
Sтаб═ = = =25 см²
Sтб =2∙25 +390=(50 +390)cм²
№542(Дидактикалық материал)
Тік бұрышты параллелепипед қырларының қатынасы 3:5:7 қатынасындай, ал толық беті 1278 см².
Қырларын есептеңдер.
а:в:с═ 3:5:7
Sтб=2(ав+ас+вс)
2(3x∙5x+3x∙7x+5x∙7x)=1278
15x²+21x²+35x²═639 a═3∙3═9 см
71x²═639 в═5∙3 ═15 см
x²═9 с═7∙3═21см
x═3
№542(Дидактикалық материал)
Төртбұрышты дұрыс призма табанының ауданы 144 см², ал биіктігі 14 см.
Призманың диагоналін есептеңдер.
Бер: Sавсд═144 см²
АА₁═14 см
Т/к: АС₁
Т/ү: АВ═ ═12(см)
А₁С₁═ ═ ═12 (см)
АС₁═ ═ ═ ═22(см)
IV.Сабақты қортындылау.
V. Үйге тапсырма. §17.
№275.
№277.
Денелердің моделдерін жасау.
Қ.Қарашаұлы атындағы Сарайшық орта мектебі
«Параллелепипед. Призма. Пирамида.»
Дайындаған: Сұлташева Г
Математика пән мұғалімі
Сарайшық-2013
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