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Tell me something about English sentence pattern transformation and mathematical geometry algebra, will you-
1. As shown in the figure, it is known that at △ABC, AB=AC, AD is the height on the side of BC, E is a point on BD, GE⊥BC, AB is in F, and CA is in G. Verification: GE+EF=2AD.

2. Part of speech conversion:

There are obvious cultural differences between the two countries. In recent years, more and more historical relics have been unearthed. Due to the global economic crisis, the financial market has been greatly affected. The scientist was commended for his _ _ _ _ _ _ _ achievements in science. In the past two months, the car output of this factory has doubled. I am very happy to see that you have made great progress in your study.