(Thi vào 6 trường THCS chuyên Ngoại Ngữ 2019 – 2020)
Cho hình vẽ. Tính tỉ số diện tích 2 tam giác BDF và AEF?

Lời giải của GV ufaindo.xyz

Nối F với C ta có:

Ta có S_ABE = $\frac{1}{3}$ x S_BEC𓆏 (Chung chiều cao hạ từ đỉnh B và AE = $\frac{1}{3}$ EC)

Và S_FAE= $\frac{1}{3}$ x S_FEC𒁏 (Chung chiều cao hạ từ đỉnh F và AE = $\frac{1}{3}$ EC)

$ \Rightarrow $ S_BAF = $\frac{1}{3}$ x S_BCF

Ta có S_BFD = $\frac{1}{3}$ x S_BFCꦺ (Chung chiều cao hạ từ đỉnh F và BD = $\frac{1}{3}$ x BC)

$ \Rightarrow $ S_BAF = S_BFD(1)

Ta có S_AFB = $\frac{1}{2}$ x S_AFC

S_AFE = $\frac{1}{4}$ x S_AFC🏅 (Chung chiều cao hạ từ đỉnh F và và AE = $\frac{1}{4}$ x AC)

$ \Rightarrow $ S_AFE = $\frac{1}{2}$ x S_BAF (2)

Từ (1) và (2) suy ra S_BFD = 2 x S_AEF

Báo lỗi - Góp ý

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(Thi vào 6 trường THCS chuyên Ngoại Ngữ 2019 – 2020) Cho hình vẽ. Tính tỉ số diện tích 2 tam giác BDF và AEF?

(Thi vào 6 trường THCS chuyên Ngoại Ngữ 2019 – 2020)
Cho hình vẽ. Tính tỉ số diện tích 2 tam giác BDF và AEF?