组卷网>知识点选题>几何意义法解决几何概型问题
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1 . 设eqId0cd8063abf2b458f80091bc51b75a904是半径为eqId7dcd2312d0bf4bb1befdfcc170e45791的圆上的一定点,在圆上随机取一点eqId19a4eb16029e4550a14f2afe4741a3c3,连接eqId34c6b6e427744abfb88dc90b8c7c2111得一弦,△eqIdc6c6dd3922e04d9d82a1a4ac9f446376为圆的内接等边三角形,如图所示,若eqId052844cae8574a8ab842c38a039baac0表示“所得弦的长大于圆内接等边三角形的边长”,则eqId1db4d0d0859c44c5acf9a16443425a12__________
说明: figure
2 . 使用某软件的随机数命令随机生成介于eqIda86879ae304449a4a6e6461c485a1f13eqId37705e1ef6a84bbdbe88433e75932cdf之间的eqId39199d5a4f514e13b03ce97c4d96084b个随机数,构成eqId7ea93d0094104b8abd234a64e674581b个数对eqIdd2f8d8484ae24715b82f8f4ad097c4b4,其中满足eqIdd539fd6337e74f9bb5a7c67c605e90de的共有eqId69f56ef2c88b4b73a560da59f5247a82个,则以下eqId69f56ef2c88b4b73a560da59f5247a82值最接近理论值的是(   )
A.eqId189993aa864b41158388555a06e11e0aB.eqIda937a5357d2f4702ad89e05385e0a09cC.eqIdf3470a2981354a77994b7d228f4970f7D.eqId59ad494118d14e05a401a2d035d40b5c
3 . 利用计算机产生0~1之间的均匀随机数eqId70a27b6ddf6b478285353abb3b1f3741,则事件“eqId0d672914a5124925a259535973354635”发生的概率为___________.
4 . 在区间eqIded0b5b64073f4533ac875546a67c7e3e上随机取一个数eqIda9cd3f94eb8045438f75e9daccfa7200,则事件“eqId9787de7c3f8d4fa8ab0e351c4b278bfe”发生的概率为___________
5 . 甲乙两人相约10天内在某地会面,约定先到的人等候另一个人,经过三天后方可离开.若他们在期限内到达目的地是等可能的,则此二人会晤的概率是(   )
A.0.5B.0.51C.0.75D.0.4
6 . 已知两点eqId58f2b48fbfbf453381ad2e21e05008baeqId82a0a3db41134d34841820e58a0e66ad,在线段eqId876037be016c4316885be871978f005b上随机取一点eqIdbedf755e0fdb4d078d6859360706b163,设事件eqId052844cae8574a8ab842c38a039baac0:“过点eqIdbedf755e0fdb4d078d6859360706b163可作三条直线与曲线eqIde7960ae7b12d46f39a549af1b3872f97相切”,则事件eqId052844cae8574a8ab842c38a039baac0发生的概率eqId1db4d0d0859c44c5acf9a16443425a12(   )
A.eqId0dce1f07f2a0460f80cd56ad0d9328c2B.eqId96c7406fe9bb42d482404e87ed3f58bdC.eqId49b7b111d23b44a9990c2312dc3b7ed9D.eqId5f51ce9cc7fe4412baeb871cceb26665
7 . 在区间eqId17f90f6a17f04d9a937a2c9f884aa4b9上任取一个实数eqId4d2187284c5d4de29906363f7d21f60f,则使得直线eqId97185ac10130468485c32ce3a535b0bb与圆eqIdc4ed10fd4da2454aa9245b59fac4b092有公共点的概率是(   )
A.eqIde4d58f42bad9461b93d451da718fc6f4B.eqId5f816d038c584dc7a249120298677ef3C.eqId62dbc501cbe74612b657a1d9a2a864c5D.eqId49b7b111d23b44a9990c2312dc3b7ed9
8 . 已知eqIdeb17ec1e853f4f35996f406d87a6eb77,在eqIdc126eb5e474f44328981eb16a7eeb595中任取一点eqIdf4c59b85a3e742e287b06a1b6533a913,则事件“eqId66958f47bc3849c1a047875fcd8bffc7”发生的概率为(   )
A.eqId4a6d9e827a244409a8376651b7e648c4B.eqId96c7406fe9bb42d482404e87ed3f58bdC.eqId49b7b111d23b44a9990c2312dc3b7ed9D.eqId5f51ce9cc7fe4412baeb871cceb26665
9 . 已知eqId00eb669650ef482cb1eac359e6367026,在eqIdc126eb5e474f44328981eb16a7eeb595中任取一点eqId1917b87e46ba4588903ff3d1d54ac150,则事件“eqId7c686059c20f45e1bf37750cb72d52f8”发生的概率为(   )
A.eqId4a6d9e827a244409a8376651b7e648c4B.eqId96c7406fe9bb42d482404e87ed3f58bdC.eqId49b7b111d23b44a9990c2312dc3b7ed9D.eqId5f51ce9cc7fe4412baeb871cceb26665
10 . 在区间eqIda75f32d729e345fca573383b8c130842上随机取一个数eqIda9cd3f94eb8045438f75e9daccfa7200,则事件“eqIda174b3920fc34e1884deb3534015ea21”发生的概率为(   )
A.eqId5f51ce9cc7fe4412baeb871cceb26665B.eqId066eeb67c545463a9cae0fbf263af87cC.eqId49b7b111d23b44a9990c2312dc3b7ed9D.eqId9e311be638c64d4eaed28e15dcba7451
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