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Giải mục 1 trang 99, 100 SGK Toán 9 tập 1 - Kết nối tri thức

Cho đường thẳng a và điểm O. Gọi H là chân đường vuông góc hạ từ O xuống a, và A là một điểm thuộc tia OH. Trong mỗi trường hợp sau đây, hãy vẽ đường tròn (O; OA) và cho biết đường thẳng a và đường tròn (O; OA) có bao nhiêu điểm chung?

Tổng hợp Đề thi vào 10 có đáp án và lời giải

Toán - Văn - Anh
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HĐ1

Video hướng dẫn giải

Trả lời câu hỏi Hoạt động 1 trang 99 SGK Toán 9 Kết nối tri thức

Cho đường thẳng a và điểm O. Gọi H là chân đường vuông góc hạ từ O xuống a, và A là một điểm thuộc tia OH. Trong mỗi trường hợp sau đây, hãy vẽ đường tròn (O; OA) và cho biết đường thẳng a và đường tròn (O; OA) có bao nhiêu điểm chung?

 

Phương pháp giải:

Vẽ đường tròn (O; OA), quan sát hình vẽ và trả lời.

Lời giải chi tiết:

a)

OH < OA Đường thẳng a và đường tròn có 2 điểm chung. b)

OH = OA Đường thẳng a và đường tròn có 1 điểm chung. c)

OH > OA Đường thẳng a và đường tròn không có điểm chung.

LT1

Video hướng dẫn giải

Trả lời câu hỏi Luyện tập 1 trang 100 SGK Toán 9 Kết nối tri thức

Cho đường thẳng a và điểm O cách a một khoảng bằng 4 cm. Không vẽ hình, hãy dự đoán xem mỗi đường tròn sau cắt, tiếp xúc hay không cắt đường thẳng a. Tại sao? a) (O; 3 cm) b) (O; 5 cm) c) (O; 4 cm)

Phương pháp giải:

So sánh bán kính của đường tròn R với khoảng cách d từ O đến a: + Nếu R > d thì đường tròn cắt đường thẳng a; + Nếu R = d thì đường tròn tiếp xúc với đường thẳng a; + Nếu R < d thì đường tròn không cắt đường thẳng a.

Lời giải chi tiết:

a) Vì R = 3 < 4 nên đường tròn (O; 3 cm) không cắt đường thẳng a. b) Vì R = 5 > 4 nên đường tròn (O; 5 cm) cắt đường thẳng a. c) Vì R = 4 nên đường tròn (O; 4 cm) tiếp xúc với đường thẳng a.

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Tham Gia Group Dành Cho Lớp 9 - Ôn Thi Vào Lớp 10 Miễn Phí

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