第68页

信息发布者:
C
$-2$
13
22
解:
​$ (1)$​根据题意,得​$\begin {cases}a - b + 1 = 6,①\\4a + 2b + 1 = 11,②\end {cases}$​
​$ ①×2 +②,$​得​$6a + 3 = 23,$​
​$ $​解得​$a = \frac {10}{3}.$​
​$ $​将​$a = \frac {10}{3}$​代入​$①,$​得​$\frac {10}{3} - b + 1 = 6,$​
​$ $​解得​$b = -\frac {5}{3}.$​
​$ (2)$​由​$(1)$​可知,​$y = \frac {10}{3}x^2 - \frac {5}{3}x + 1,$​
​$ $​当​$x = -3$​时,​$y = \frac {10}{3}×(-3)^2 - \frac {5}{3}×(-3) + 1 = 36.$​
解:
(1)因为$x※y = ax - by + 2,$$1※(-1) = -4,$$3※2 = 4,$
所以$\begin{cases}a + b + 2 = -4,\\3a - 2b + 2 = 4,\end{cases}$

解得$\begin{cases}a = -2,\\b = -4.\end{cases}$
(2)因为$a = -2,$$b = -4,$
所以$x※y = ax - by + 2 = -2x + 4y + 2,$
$(x - 2)※(y - 1) = a(x - 2) - b(y - 1) + 2 = -2(x - 2) + 4(y - 1) + 2 = -2x + 4y + 2,$
所以$x※y = (x - 2)※(y - 1).$

解:
​$ (1)$​由题意,得​$\begin {cases}3 + 4 + x = x + y + 2y - x,\\3 - 2 + 2y - x = 3 + 4 + x,\end {cases}$​
​$ $​解得​$\begin {cases}x = -1,\\y = 2.\end {cases}$​
​$ (2)$​如图;