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一、填空题 (满分 30分 ,每小题 5分 )1.已知m、n互为相反数 ,a、b互为负倒数 ,x的绝对值等于 3.则x3 - (1+m +n +ab)x2 + (m +n)·x2 0 0 1+ (-ab) 2 0 0 2 的值等于 .2 .已知正数a、b ,有下列命题 :(1)若a =1,b=1,则 ab≤ 1;(2 )若a =12 ,b =52 ,则ab≤ 32 ;(3)若a =2 ,b=3,则ab≤ 52 ;(4)若a =1,b=5 ,则ab≤ 3.根据以上几个命题所提供的信息 ,请猜想 :若
First, fill in the blanks (out of 30 points, 5 points for each question) 1. Know that m, n are opposite numbers, a and b are negative reciprocals, the absolute value of x is equal to 3. Then x3 - (1+m + n +ab)x2 + (m +n)·x2 0 0 1+ (-ab) 2 0 0 2 is equal to .2. Known positive numbers a, b have the following propositions: (1) If a =1, b = 1, then ab ≤ 1; (2) if a = 12, b = 52, then ab ≤ 32; (3) if a = 2, b = 3, then ab ≤ 52; (4) if a =1 , b=5, then ab≤ 3. Based on the information provided by the above propositions, please conjecture: If