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Giải bài 7 trang 69 SGK Toán 7 tập 1 - Cánh diều

Cho a/b=c/d với

🍸Tổng hợp đề thi học kì 2 lớp 7 tất cả các môn - Cánh diều

Toán - Văn - Anh - Khoa học tự nhiên...
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Đề bài

🍷Cho \(\frac{a}{b} = \frac{c}{d}\) với b – d \( \ne \) 0; b + 2d \( \ne \) 0. Chứng tỏ rằng:

🔥\(\frac{{a - c}}{{b - d}} = \frac{{a + 2c}}{{b + 2d}}\)

Phương pháp giải - Xem chi tiết

Sử dụng tính chất của dãy tỉ số bằng nhau:

\(\frac{a}{b} = \frac{c}{d} = \frac{{a - c}}{{b - d}}\)✅; \(\frac{a}{b} = \frac{c}{d} = \frac{{a + 2c}}{{b + 2d}}\)

Lời giải chi tiết

Áp dụng tính chất của dãy tỉ số bằng nhau, ta có:\(\frac{a}{b} = \frac{c}{d} = \frac{{a - c}}{{b - d}}\); \(\frac{a}{b} = \frac{c}{d} = \frac{{a + 2c}}{{b + 2d}}\)Như vậy, \(\frac{{a - c}}{{b - d}} = \frac{{a + 2c}}{{b + 2d}}\) (đpcm)

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