Known proposition p: (all) X∈, x? -a≥0, proposition q: (existence) X∈R, x? +2aX+2-a=0。 If the propositions "P and Q" are true propositions, find the range of the number A. ..

Analysis: Proposition P: (All) X∈, X? -a≥0

t:a & lt； =x^2==>； a & lt= 1

F: a> 1

Proposition q: (existence) X∈R, x? +2aX+2-a=0

t:⊿=4a^2-8+4a>； =0== >a & lt=- 1-√3 or a & gt=- 1+√3.

Female: ⊿ = 4a 2-8+4a <; 0 = = >； - 1-√3 & lt； a & lt- 1+√3

∫P∧Q = T

∴a<； =- 1-√3 or-1+√ 3