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It is forbidden to copy the combination of geometric functions in mathematics for senior high school entrance examination.
1. The vertical line passing through the origin is taken as the horizontal ordinate, and the vertical axis has a vertical foot D and a vertical foot E, so the horizontal vertical line length is 2 and the vertical vertical line length is 1. Connect the line segments pc and pa to form a right triangle with the coordinate axis. According to Pythagorean theorem, CE = √ [(2 √ 2) 2-2 2] = 2, and AD = √ [(2 √ 2) 2-12] = √ 7. The value of b is 1+2=3 (or 1-. The value of m is 2+√7 (or 2-√7, depending on the position of A).

2. The method is the same as above, that is, replace 2√2 with R, b = 1+√ [R 2-2 2], and m = 2+√ [R 2- 1 2]. By the way, the prerequisite is R>2.

Draw without painting, if you can get it easily.