V. Сабақты қорытындылап, бағалау.
Үйге тапсырма: §2 (белгілеріне дейін оқу), №13(2), №14(2), №15(2) .
Сабақтың тақырыбы: Тік бұрышты үшбұрыштардағы метрикалық қатынастар.
Сабақтың мақсаты:
Білімділік: Оқушыларды тік бұрышты үшбұрыш туралы қосымша материалмен таныстырып , тік бұрышты үшбұрыштың метрикалық қатынастарын қолданып, есептер шығару барысында қолдана білуге үйрету.
Дамытушылық:Оқушылардың іскерліктерін, өз бетімен еңбектену сезімдерін , білімдерін дамыту
Тәрбиелік: Оқушыларды шыдамдылыққа, шапшаңдыққа, дәлдікке тәрбиелеу
Сабақтың түрі: Аралас сабақ
Сабақтың түрі: Жаңа білімді меңгеру.
Сабақтың көрнекілігі: Карточкалар,интербелсенді тақта
Сабақтың барысы: 1.Ұйымдастыру
2.Сабаққа қажетті құралдарын түгендеп,дұрыс
отыруына назар аудару.
Әдістемелік нұсқау
Тақырыптың алдын ала даярлық тапсырмаларды орындату қажет.
Мұнда оқушылар тік бұрышты үшбұрыш анықтамасын, қасиеттерін естеріне түсіріп, сабақ барысында пайдаланады.
Тақырыптың мазмұнына шолу
Пифагор теоремасы:
Катеттердің квадраты гипотенуза мен олардың гипотенузаға проекциясының көбейтіндісіне тең:
Гипотенузаға түсірілген биіктіктің квадраты катеттерінің гипотенузаға жүргізілген проекцияларының көбейтіндісіне тең:
Катеттердің көбейтіндісі гипотенуза мен гипотенузаға түсірілген биіктіктің көбейтіндісіне тең:
Гипотенузаға жүргізілген медиана гипотенузаның жартысына тең:
Тікбұрышты үшбұрышқа сырттай сызылған шеңбердің радиусы гипотенузаның жартысына тең:
Тік бұрышты үшбұрыштың гипотенузасына түсірілген биіктік осы үшбұрышты өзара ұқсас екі үшбұрышқа бөледі.
Катеттердің қосындысы іштей және сырттай сызылған шеңберлердің радиустарының 2 еселенген қосындысына тең:
немесе
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