Үйге тапсырма беру: 69-суреттегі бесбұрышты пирамиданың төбелерін, қырларын және жақтарын санап шық. Жалпы және жеке жағдайда орналасқан қырлары мен жақтарын ажыратып ал. Оның неше қыры горизонталь, неше қыры профиль проекциялар жазықтығына параллель, неше қыры 3-ке перпендикуляр және неше қыры жалпы жағдайда орналасқан? Пирамиданың жақтарының ішінде деңгейлік фигуралар бар ма? Проекциялаушы фигуралар бар ма? Оның неше жағы жалпы жағдайда орналасқан?
Сабақ: №33
Сабақтың тақырыбы:
Геометриялық денелердің проекциялары. Жаттығу.
Сабақтың мақсаты:
а) Білімділік: Оқушылардың таным қабілетін, логикалық ойлау
қабілетін дамыту, оқушыларды детальдарды кескіндеп,
бейнелеуге үйрету.
ә) Дамытушылық: Детальдардың күрделілігіне қарай сызбаларын сызу,
қажетті өлшемдерін түсіруге үйрету.
б) Тәрбиелілік: Сызбаларды салауатты сызып, топпен жұмыс
жасап, бір-бірін тыңдай білуге үйрету, мәдениетті
болуға тәрбиелеу.
Сабақтың көрнекілігі: А4 пішіміндегі қағаз, қарындаштар, сызғыш, өшіргіш, шеңберсызар және тағы басқа.
Сабақтың өту барысы:
Ұйымдастыру кезеңі.
Үйге берілген тапсырманы тексеру.
Жаңа тақырыпты түсіндіру.
Тапсырмаларды орындау.
Сабақты бекіту.
Үйге тапсырма.
С абақтың барысы:
Цилиндр. Цилиндр туралы жоғарыда айтылған. Математика курсында цилиндрді тіктөртбұрыш өзінің бір қабырғасынан айналғанда шығатын айналу денесі деп түсіндіреді. Тіктөртбұрыштың қозғалмайтын қабырғасын цилиндрдің осі деп атайды, ал оған қарама-қарсы қабырғасы - жасаушысы. Жасаушысы цилиндрдің бүйір бетін және қалған екі қабырғасы цилиндрдің табандары болатын бірдей екі дөңгелекті сызып шығады. 72-суретте горизонталь проекциялар жазықтығында тұрған цилиндрдің сызбасы және тікбұрышты изометриясы сызылған. Цилиндрдің фронталь және профиль проекциялары - тең тіктөртбұрыштар, ал горизонталь проекциясы шеңбер болатынын көреміз. Айналу цилиндрінің осі табан жазықтықтарына перпендикуляр. Цилиндрдің бетінде жататын оның осіне параллель кесінді жүргізуге болады. 72-суретте осындай кесінділердің бірі АВ
к![](data:image/jpeg;base64,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) өрсетілген. Осындай кесіндіні, мысалы, АВ кесіндісін, цилиндрдің жасаушысы деп атайды. Оның себебі АВ кесіндісін осьтен айналдырса, онда ол кесінді цилиндрдің бүйір бетін жасайды. Цилиндрді картоннан жасап алуға болады. Ол үшін оның жаймасын салу керек. 72, б-суретте цилиндр бетінің жаймасы келтірілген. Жайма тіктөртбұрыштан және екі дөңгелектен тұрады. Дөңгелектер - цилиндрдің табандары, ал тіктөртбұрыш - оның бүйір бетінің жаймасы. Тіктөртбұрыштың биіктігі цилиндрдің биіктігіне тең, ал ұзындығы оның табанындағы дөңгелек
шеңберінің ұзындығына тең. Шеңбердің ұзындығы с болсын, ал диаметрі d болсын. Олардың қатынасын гректің ("пи" деп оқылады) әрпімен белгілейді. Сонда Осыдан с = , ал 3,14. Жоғарыда қарастырылған цилиндрді тік цилиндр дейді. Жасаушылары табан жазықтықтарына көлбеу болатын цилиндрді көлбеу цилиндр деп атайды. Көлбеу цилиндрдің табандарындағы дөңгелектердің центрлерін қосатын түзу (цилиндрдің осі) оның табан жазыкқтықтарына перпендикуляр болмайтындығын байқау қиын емес. Көлбеу цилиндрдің сызбасы 73-суретте көрсетілген.
Достарыңызбен бөлісу: |