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Mathematics eighth grade Pythagorean theorem real number [rational number irrational number] thinking questions,
OA 1? + A 1A2? = OA2?

OA2? + A2A3? = OA3?

So OA 1? + A 1A2? + A2A3? = OA3?

OA3? + A3A4? = OA4?

So OA 1? + A 1A2? + A2A3? + A3A4? = OA4?

So OA 1? + A 1A2? +...........+ An- 1An = OAn?

OA 1 = a 1 a2 = a2 a3 = a3 a4 =…= A8 a9 = 1。

So N = OAn?

N=25

24 numbers from 2 to 25.

* * * A rational number with four numbers: 4,9,16,25.

So the length of 20 line segments is unreasonable.