如图，A、B两点在y＝mx（x＞0）上，如果一个点的横纵坐标均为整数，那么我们称这个点是格点，请写出图中 如图，A、B两点在函数y= （x>0）的图象上。（1...
\u5982\u56fe\uff0cA\u3001B\u4e24\u70b9\u5728\u51fd\u6570y= \uff08x\uff1e0\uff09\u7684\u56fe\u8c61\u4e0a\uff0e\uff081\uff09\u6c42m\u7684\u503c\u53ca\u76f4\u7ebfAB\u7684\u89e3\u6790\u5f0f\uff1b\uff082\uff09\u5982\u679c\u4e00\u4e2a\u70b9\u7684\u6a2a\u3001\u7eb5\u5750\uff081\uff09m=6 \u76f4\u7ebfAB\u7684\u89e3\u6790\u5f0f\u4e3ay=\ufe63x+7 \uff082\uff093 \u8bd5\u9898\u5206\u6790\uff1a\uff081\uff09\u5c06A\u70b9\u6216B\u70b9\u7684\u5750\u6807\u4ee3\u5165y= \u6c42\u51fam\uff0c\u518d\u5c06\u8fd9\u4e24\u70b9\u7684\u5750\u6807\u4ee3\u5165y=kx+b\u6c42\u51fak\u3001b\u7684\u503c\u5373\u53ef\u5f97\u5230\u8fd9\u4e2a\u51fd\u6570\u7684\u89e3\u6790\u5f0f\uff1b\uff082\uff09\u753b\u51fa\u7f51\u683c\u56fe\u5e2e\u52a9\u89e3\u7b54\uff0e\u89e3\uff1a\uff081\uff09\u7531\u56fe\u8c61\u53ef\u77e5\uff0c\u51fd\u6570 \uff08x\uff1e0\uff09\u7684\u56fe\u8c61\u7ecf\u8fc7\u70b9A\uff081\uff0c6\uff09\uff0c\u53ef\u5f97m=6\uff0e\u8bbe\u76f4\u7ebfAB\u7684\u89e3\u6790\u5f0f\u4e3ay=kx+b\uff0e\u2235A\uff081\uff0c6\uff09\uff0cB\uff086\uff0c1\uff09\u4e24\u70b9\u5728\u51fd\u6570y=kx+b\u7684\u56fe\u8c61\u4e0a\uff0c\u2234 \uff0c\u89e3\u5f97 \uff0e\u2234\u76f4\u7ebfAB\u7684\u89e3\u6790\u5f0f\u4e3ay=\ufe63x+7\uff1b\uff082\uff09\u56fe\u4e2d\u9634\u5f71\u90e8\u5206\uff08\u4e0d\u5305\u62ec\u8fb9\u754c\uff09\u6240\u542b\u683c\u70b9\u662f\uff082\uff0c4\uff09\uff0c\uff083\uff0c3\uff09\uff0c\uff084\uff0c2\uff09\u51713\u4e2a\uff0e \u70b9\u8bc4\uff1a\u672c\u9898\u8003\u67e5\u4e86\u4e00\u6b21\u51fd\u6570\u548c\u53cd\u6bd4\u4f8b\u51fd\u6570\u7684\u56fe\u8c61\u6027\u8d28\uff0c\u7efc\u5408\u6027\u8f83\u5f3a\uff0c\u4f53\u73b0\u4e86\u6570\u5f62\u7ed3\u5408\u7684\u601d\u60f3\uff0e
\u89e3\uff1a\uff081\uff09\u7531\u56fe\u8c61\u53ef\u77e5\uff0c\u51fd\u6570y= \uff08x>0\uff09\u7684\u56fe\u8c61\u7ecf\u8fc7\u70b9A\uff081\uff0c6\uff09\uff0c\u53ef\u5f97m=6\uff0c \u8bbe\u76f4\u7ebfAB\u7684\u89e3\u6790\u5f0f\u4e3ay=kx+b\uff0c \u2235A\uff081\uff0c6\uff09\uff0cB\uff086\uff0c1\uff09\u4e24\u70b9\u5728\u51fd\u6570y=kx+b\u7684\u56fe\u8c61\u4e0a\uff0c\u2234 \u89e3\u5f97k=-1\uff0cb=7\uff0c\u2234\u76f4\u7ebfAB\u7684\u89e3\u6790\u5f0f\u4e3ay=-x+7\uff1b \uff082\uff09\u56fe\u4e2d\u9634\u5f71\u90e8\u5206\uff08\u4e0d\u5305\u62ec\u8fb9\u754c\uff09\u6240\u542b\u683c\u70b9\u7684\u4e2a\u6570\u662f3\u3002
把A（1，6）代入y=| m |
| x |
∴反比例函数的解析式为y=
| 6 |
| x |
设直线AB的解析式为y=kx+b，
把A（1，6），B（6，1）代入得，kx+b=6，k+b=1，解得k=-1，b=7，
∴直线AB的解析式为y=-x+7；
当x=2，y=
| 6 |
| x |
当x=3，y=
| 6 |
| x |
当x=4，y=
| 6 |
| x |
| 3 |
| 2 |
当x=5，y=
| 6 |
| x |
| 6 |
| 5 |
∴图中阴影部分（不包括边界）所含格点的有：（2，4），（3，3），（4，2）．
故答案为3．
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绛旓細4
