《2025年全品学练考九年级数学上册人教版》

1. 解下列方程:
(1)$t^2 - 45 = 0$;
(2)$4.3 - 6x^2 = 2.8$;
(3)$(x - 3)^2 - 49 = 0$;
(4)$\frac{1}{2}(3y - 1)^2 - 8 = 0$.

答案：
(1)$t_{1}=3\sqrt {5},t_{2}=-3\sqrt {5}$
(2)$x_{1}=\frac {1}{2},x_{2}=-\frac {1}{2}$
(3)$x_{1}=10,x_{2}=-4$
(4)$y_{1}=\frac {5}{3},y_{2}=-1$

2. 解下列方程:
(1)$x^2 = 2x$;
(2)$(x - 1)(x + 2) = 2(x + 2)$;
(3)$4(x - 3)^2 - 25(x - 2)^2 = 0$;
(4)$(2x + 1)^2 + 4(2x + 1) + 4 = 0$.

答案：
(1)$x_{1}=0,x_{2}=2$
(2)$x_{1}=-2,x_{2}=3$
(3)$x_{1}=\frac {16}{7},x_{2}=\frac {4}{3}$
(4)$x_{1}=x_{2}=-\frac {3}{2}$

3. 解下列方程:
(1)$x^2 - 24x = 9856$;
(2)$x^2 - 6x - 9991 = 0$.

答案：
(1)$x_{1}=112,x_{2}=-88$
(2)$x_{1}=103,x_{2}=-97$