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.