12. 小明和小红在计算$(-\dfrac{1}{3})^{100} × 3^{101}$时,分别采用了不同的解法.
小明的解法:$(-\dfrac{1}{3})^{100} × 3^{101} = (-\dfrac{1}{3})^{100} × 3^{100} × 3 = [(-\dfrac{1}{3}) × 3]^{100} × 3 = (-1)^{100} × 3 = 3$,
小红的解法:$(-\dfrac{1}{3})^{100} × 3^{101} = (\dfrac{1}{3})^{100} × 3^{101} = (3^{-1})^{100} × 3^{101} = 3^{-100} × 3^{101} = 3$.
请你借鉴小明和小红的解题思路,解决下列问题:
(1)若$4a - 3b + 1 = 0$,求$3^2 × 9^{2a+1} ÷ 27^b$的值;
(2)已知$x$满足$2^{2x+4} - 2^{2x+2} = 96$,求$x$的值.
小明的解法:$(-\dfrac{1}{3})^{100} × 3^{101} = (-\dfrac{1}{3})^{100} × 3^{100} × 3 = [(-\dfrac{1}{3}) × 3]^{100} × 3 = (-1)^{100} × 3 = 3$,
小红的解法:$(-\dfrac{1}{3})^{100} × 3^{101} = (\dfrac{1}{3})^{100} × 3^{101} = (3^{-1})^{100} × 3^{101} = 3^{-100} × 3^{101} = 3$.
请你借鉴小明和小红的解题思路,解决下列问题:
(1)若$4a - 3b + 1 = 0$,求$3^2 × 9^{2a+1} ÷ 27^b$的值;
(2)已知$x$满足$2^{2x+4} - 2^{2x+2} = 96$,求$x$的值.
答案
12. (1) 27;(2) $x=\dfrac{3}{2}$
13. 如图,有三个论断:① $∠1=∠2$;② $∠B=∠C$;③ $AB// CD$.请你从中任选两个作为条件,另一个作为结论构成一个命题,写出已知、求证,并证明该命题的正确性.

答案
13. 已知①②,求证③(答案不唯一);证明略
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