将一颗骰子先后投掷两次分别得到点数a、b，则直线ax+by=0与圆（x-2）2+y2=2有公共点的概率为 若实数x，y满足约束件x+y?1≤0x?y+1≥0y+1≥0...

\u5c06\u4e00\u9897\u9ab0\u5b50\u6295\u63b7\u4e24\u6b21\u5206\u522b\u5f97\u5230\u70b9\u6570a\uff0cb\uff0c\u5219\u76f4\u7ebfax-by=0\u4e0e\u5706\uff08x-2\uff09 2 +y 2 =2\u76f8\u4ea4\u7684\u6982\u7387\u4e3a______

\u2235\u76f4\u7ebfax-by=0\u4e0e\u5706\uff08x-2\uff09 2 +y 2 =2\u76f8\u4ea4\uff0c\u2234\u5706\u5fc3\u5230\u76f4\u7ebf\u7684\u8ddd\u79bb |2a| a 2 + b 2 \uff1c 2 \u5373a\uff1cb\u2235\u8bbe\u4e00\u9897\u9ab0\u5b50\u6295\u63b7\u4e24\u6b21\u5206\u522b\u5f97\u5230\u70b9\u6570\u4e3a\uff08a\uff0cb\uff09\uff0c\u5219\u8fd9\u6837\u7684\u6709\u5e8f\u6574\u6570\u5bf9\u5171\u67096\u00d76=36\u4e2a\u5176\u4e2da\uff1cb\u7684\u6709\uff081\uff0c2\uff09\uff0c\uff081\uff0c3\uff09\uff0c\uff081\uff0c4\uff09\uff0c\uff081\uff0c5\uff09\uff0c\uff081\uff0c6\uff09\uff0c\uff082\uff0c3\uff09\uff0c\uff082\uff0c4\uff09\uff0c\uff082\uff0c5\uff09\uff0c\uff082\uff0c6\uff09\uff0c\uff083\uff0c4\uff09\uff0c\uff083\uff0c5\uff09\uff0c\uff083\uff0c6\uff09\uff0c\uff084\uff0c5\uff09\uff0c\uff084\uff0c6\uff09\uff0c\uff085\uff0c6\uff09\u51715+4+3+2+1=15\u4e2a\uff0c\u53c8\u7531\uff081\uff0c2\uff09\uff082\uff0c4\uff09\uff083\uff0c6\uff09\u7b97\u540c\u4e00\u6761\u76f4\u7ebf\uff081\uff0c3\uff09\uff082\uff0c6\uff09\u7b97\u540c\u4e00\u6761\u76f4\u7ebf\uff082\uff0c3\uff09\uff084\uff0c6\uff09\u7b97\u540c\u4e00\u6761\u76f4\u7ebf\u5219\u5171\u670911\u6761\u76f4\u7ebf\uff1b\u2234\u76f4\u7ebfax-by=0\u4e0e\u5706\uff08x-2\uff09 2 +y 2 =2\u76f8\u4ea4\u7684\u6982\u7387\u4e3aP= 11 36 \u6545\u7b54\u6848\u4e3a 11 36 \uff0e

\u89e3\uff1a\u753b\u51fa\u4e0d\u7b49\u5f0f\u7ec4x+y?1\u22640x?y+1\u22650y+1\u22650\u8868\u793a\u7684\u5e73\u9762\u533a\u57df\uff0c\u2235\u51fd\u6570z=2ax+by\u5728\u70b9\uff082\uff0c-1\uff09\u5904\u53d6\u5f97\u6700\u5927\u503c\uff0c\u2234\u76f4\u7ebfz=2ax+by\u7684\u659c\u7387k=?2ab\u2264-1\uff0c\u53732a\u2265b\uff0e\u2235\u4e00\u9897\u9ab0\u5b50\u6295\u63b7\u4e24\u6b21\u5206\u522b\u5f97\u5230\u70b9\u6570\u4e3a\uff08a\uff0cb\uff09\uff0c\u5219\u8fd9\u6837\u7684\u6709\u5e8f\u6574\u6570\u5bf9\u5171\u67096\u00d76=36\u4e2a\u5176\u4e2d2a\u2264b\u7684\u6709\uff081\uff0c1\uff09\uff0c\uff081\uff0c2\uff09\uff0c\uff082\uff0c1\uff09\uff0c\uff082\uff0c2\uff09\uff0c\uff082\uff0c3\uff09\uff0c\uff082\uff0c4\uff09\uff0c\uff083\uff0c1\uff09\uff0c\uff083\uff0c2\uff09\uff0c\uff083\uff0c3\uff09\uff0c\uff083\uff0c4\uff09\uff0c\uff083\uff0c5\uff09\uff0c\uff083\uff0c6\uff09\uff0c\uff084\uff0c1\uff09\uff0c\uff084\uff0c2\uff09\uff0c\uff084\uff0c3\uff09\uff0c\uff084\uff0c4\uff09\uff0c\uff084\uff0c5\uff09\uff0c\uff084\uff0c6\uff09\u517130\u4e2a\u5219\u51fd\u6570z=2ax+by\u5728\u70b9\uff082\uff0c-1\uff09\u5904\u53d6\u5f97\u6700\u5927\u503c\u7684\u6982\u7387\u4e3a 3036=56\u6545\u7b54\u6848\u4e3a56\uff0e

根据题意，将一颗骰子先后投掷两次，得到的点数所形成的数组（a，b）有（1，1）、（1，2）、
（1，3）、…、（6，6），共36种，
其中满足直线ax+by=0与圆（x-2）²+y²=2有公共点，
即圆心（2，0）到直线的距离小于或等于半径r，可得

|2a|

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