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Pifagor teoremasi

Pifagor teoremasi. 8-sinf. O’tgan mavzuni takrorlash. B. К. L. A. β. α. γ. C. α + γ = β β burchakni toping ?. N. D. M. ABCD to’rtburchak kvadrat ekanligini isbotlang. Yangi mavzuning bayoni. К. B. L. а. b. Teorem а.

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Pifagor teoremasi

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  1. Pifagor teoremasi 8-sinf

  2. O’tgan mavzuni takrorlash B К L A β α γ C α+γ=β β burchakni toping? N D M ABCD to’rtburchak kvadrat ekanligini isbotlang

  3. Yangi mavzuning bayoni К B L а b Teoremа. To’g’ri burchakli uchburchakda gipotenuza kvadrati katetlar kvadratlari yig’indisiga teng. Isbot. S=(a+b)²= a² + 2ab + b² (1) S=c² + 4·(1/2)ab = c²+2ab(2) (1) va (2) tengliklardan a² + b²=c² b c a A с с C a с b N D M b a

  4. 3 y х 3 5 4 6 d 2 1 8 3 Yangi mavzuni mustaxkamlash • Chizma yordamida Pifagor teoremasidan foyidalanib to’g’ri tengliklarni tuzing. • Nomalum kattaliklarni toping.

  5. Yangi mavzuni mustaxkamlash 1-masala Rasmdagi uyi balandligi 117dm, narvon uzunligi 125dm bo’lsa, narvon proeksyasini toping

  6. Yangi mavzuni mustaxkamlash 2-masala « Qirg’oqdagi terak shamoldan sinib, daryoning eni bo’yilab quladi va uchi narigi qirg’oqqa yetdi. Agar daryo eni 3m, terakning qolgan qismi 3m bo’lsa, terak uzunligi qanday bo’lgan ?»

  7. Tarixiy ma’lumot • Pifagor-qadimiy grek olimi. • U ko’p sayohat qilib, o’zga xalqlar madaniyati va ilmini o’gandi . • U o’z vatanida bilimga chanqoq yoshlardan Pifagor maktabini tashkil qildi. Pifagorchilar matematika, falsafa va aniq fanlar bilan shug’ullandi. • Pifagor tomonidan arifmetika va geometriyaga ko’p yangiliklar kiritildi. Pifagor (580г e.o. – 500г. e.o.)

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