«Геометрия» пәні бойынша 11 сынып оқушысының өзіндік жұмысының жоспары
ІV тоқсан
56-сабақ
9.3. Шардың көлемі
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACkAAABKCAYAAAAmAH0CAAAACXBIWXMAAA7mAAAOrgFAXSkLAAAA/klEQVR4nO3RCwrEIAyEYRe8/5V3OwuBItam9ZFR859g+CaGEL5Hn0BcxMAj6qHReoCm/0h2zXkkEbPmXJKIVXM+ScSomZVkGzrn3RKT5tySiEVzfknEoLmGJLLWVEtaDl3nbslKcz1JZKG5piQarbmuJBqpWSU5aujad0sjNPeQRL0195FEPTX3kkS9NPeTRD00u0i2Hrrn3VJLzb0lUStNl0QtNF1SqtUcJlkz1O9Oe6vpkrneaLrkVU81XbLUE01TSe1Qv1uTRtN8pCaKkXeaFCPvohlZ0qQZWYpq5JUm1UiUG0o3MhflyFSTcmQa7cizJu3Ic9QjRZN6pPQD1h0Z55UMjmAAAAAASUVORK5CYII=) ![](data:image/png;base64,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) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC0AAAAQCAYAAACC/vbpAAAACXBIWXMAAA6vAAAPDwHe1JUwAAABBElEQVR4nNWWwQrCMAxAJxR0O/oniogo4teIICKIZz34A94E8XO8iIh/okeZB1fJRmo3m7oyRuY7dWuXvIysnbitWrK5uda8AtzXbemyvmg+4RKAkgtGS6ektiLz+AiX4MFwYV4YRb/ypCDjZHJSBRil8UFb8LLQc1IFpKQ5ZU2gx+O4jd1QXEmjsD+YezJ6sUhSgBOA4gIvcKLKgCO4CtU30u1j4sLvz5L2gME/EUtLxy2Lm/hwgRZp9KbcLrkIT7vkTSvx7oTbyUp43ntq9wBQHMZVkwdZ4Gufxpsgjou45dEDIE/E7KR+jNY74xL1PjwvB6OLjvWHiSogi2tBupgtJ8Ubsv17Oy0xfIkAAAAASUVORK5CYII=) Шар ұғымымен §7-ден таныссыңдар.
Шардың көлемі:
Шар бетін сфера қаптап тұрады.
формуласымен анықталды.
Есептер шығарайық:
9.3. №56. Шардың радиусы 3,5 дм. Шар
бетінің ауданы мен көлемін табыңдар.
Шешуі:
Тест жинағынан:
Конустың биіктігі 8, жасаушысы 10. Оған іштей сызылған шар бетінің ауданын, көлемін табыңдар.
Шешуі: ∆АВС: АВ=10, ВО=8 болғандықтан
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Достарыңызбен бөлісу: |