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Cho tam giác ABC nhọn (AB<AC<BC),hai đường cao AK và CF cắt nhau tại H.Có M là trung điểm của BC

a)Chứng minh tam giác ABK đồng dạng tam giác CBF.Từ đó suy ra AB.BF = BC.BK

b)Chứng minh tam giác BFK đồng dạng tam giác BCA.Từ đó suy ra BF.BA/BM.BK = 2

c)Qua H,vẽ đường thẳng vuông góc HM cắt AB và AC lần lượt tại D và E.Chứng minh : tam giác MED cân (Hướng dẫn : Chứng minh tam giác BHM đồng dạng tam giác CIH và tam giác BHN đồng dạng tam giác AIH)

Symbolic Meaning of Matryoshka

Everyone knows that a Matryoshka is a nesting doll. It is a set of typically seven wooden
dolls of decreasing sizes that all fit inside of each other, one by one. Each stacking doll splits in
half at the midsection and opens to reveal another smaller doll nested within. Each Matryoshka is
handmade, for this reason, it is unique: you cannot find two Matryoshka identical.

Matryoshka is made by different dolls. The biggest doll is called “mother”, the smallest one
is called seed. Originally, the biggest doll represents a strong female matriarch who is the main
symbol of the Russian family. In itself, the doll fits inside little dolls which represent daughters
and sons. For this reason, Matryoshka represents fertility and motherhood.

The Matryoshka is also the symbol of Russia: the big doll represents Russia mother, and in
itself she hosts children, women, men, but also feelings like pain, happiness, joy. It is a mother
who can host all these things. Matryoshka can represent also our life: we are like a big doll with
other dolls inside which represent our stories, relationships, experiences. We are one person with
different experiences. The seed represents our soul which is innocent and it is the real essence of
ourselves.