Giải mục 2 trang 43, 44, 45 SGK Toán 7 tập 1 - Kết nối tri thức


Cắt rời một góc xOy từ một tờ giấy rồi gấp sao cho hai cạnh của góc trùng nhau (H.3.9).....Cho góc xAm có số đo bằng..

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HĐ 5

Cắt rời một góc xOy từ một tờ giấy rồi gấp sao cho hai cạnh của góc trùng nhau (H.3.9).

Mở mảnh giấy ra, nếp gấp cho ta hình ảnh tia Oz chia góc ban đầu thành hai góc.

a) Em hãy nhận xét về vị trí của tia Oz so với hai cạnh của góc xOy.

b) Em hãy so sánh hai góc xOz và zOy.

Phương pháp giải:

Quan sát, đo góc.

Lời giải chi tiết:

a) Tia Oz nằm giữa hai cạnh của góc xOy.

b) \(\widehat {xOz} = \widehat {zOy}\)

Luyện tập 3

Cho góc xAm có số đo bằng \(65^\circ \) và Am là tia phân giác của góc xAy (H.3.12). Tính số đo góc xAy

Phương pháp giải:

Khi Om là tia phân giác của góc xOy thì \(\widehat {xOm} = \widehat {mOy} = \frac{1}{2}.\widehat {xOy}\)

Lời giải chi tiết:

Ta có Am là tia phân giác của góc xAy nên

\(\begin{array}{l}\widehat {xAm} = \frac{1}{2}.\widehat {xAy}\\ \Rightarrow \widehat {xAy} = 2.\widehat {xAm} = 2.65^\circ  = 130^\circ \end{array}\)

Thực hành

Vẽ tia phân giác Oz của xOy có số đo bằng 68\(^\circ \), sử dụng thước đo góc theo hướng dẫn. Nếu Oz là toa phân giác của góc xOy thì \(\widehat {xOz} = \frac{1}{2}.68^\circ  = 34^\circ \). Ta có cách vẽ sau:

<img 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

Vận dụng

Quan sát hình vẽ bên.

Quả cân ở đĩa cân bên trái nặng bao nhiêu kilogam để cân thăng bằng, tức là kim trên mặt đồng hồ của cân là tia phân giác của góc AOB?

Phương pháp giải:

Tổng cân nặng 2 bên cân bằng nhau thì cân thăng bằng

Lời giải chi tiết:

Đổi 500 g = 0,5 kg

Tổng cân nặng bên đĩa cân phải là: 3,5 + 0,5 = 4(kg)

Quả cân ở đĩa cân bên trái nặng số kilogam để cân thăng bằng là:

4 – 1 = 3 (kg)

Chú ý:

Cần đưa các số liệu về cùng một đơn vị đo


Bình chọn:
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