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Giải mục 2 trang 102 SGK Toán 9 tập 1 - Cánh diều

Trong bức ảnh ở Hình 22, sợi dây dưới cùng và bánh xe gợi nên hình ảnh đường thẳng và đường tròn tiếp xúc nhau. Theo em, đường thẳng và đường tròn đó có bao nhiêu điểm chung?

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

Toán - Văn - Anh
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HĐ2

Video hướng dẫn giải

Trả lời câu hỏi Hoạt động 2 trang 102 SGK Toán 9 Cánh diều

Trong bức ảnh ở Hình 22, 𒀰sợi dây dưới cùng và bánh xe gợi nên hình ảnh đường thẳng và đường tròn tiếp xúc nhau. Theo em, đường thẳng và đường tròn đó có bao nhiêu điểm chung?

Phương pháp giải:

Dựa vào quan sát trực quan để đưa ra nhận xét.

Lời giải chi tiết:

Đường thẳng và đường tròn tiếp xúc nhau có 1 điểm chung.

LT2

Video hướng dẫn giải

Trả lời câu hỏi Luyện tập 2 trang 102 SGK Toán 9 Cánh diều

Cho tam giác \(ABC\) vuông tại \(A,AB = 3cm,BC = 5cm\). Đường thẳng \(AB\) có tiếp xúc với đường tròn \(\left( {C;4cm} \right)\) hay không? Vì sao?

Phương pháp giải:

Dựa vào kiến thức vừa học để chứng minh.

Lời giải chi tiết:

Xét tam giác \(ABC\) vuông tại \(A\), áp dụng định lí Pythagore ta có: \(A{B^2} + A{C^2} = B{C^2} \Rightarrow {3^2} + A{C^2} = {5^2} \Rightarrow AC = 4\left( {cm} \right)\). Vậy đường thẳng \(AB\) có tiếp xúc với đường tròn \(\left( {C;4cm} \right)\).

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

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