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1、锐角三角函数与特殊角一、选择题1.（2016四川达州3 分）如图，半径为3 的 A 经过原点O 和点 C（0，2），B 是 y 轴左侧 A 优弧上一点，则tanOBC 为（）A B2CD【考点】圆周角定理；锐角三角函数的定义【分析】作直径CD，根据勾股定理求出OD，根据正切的定义求出tanCDO，根据圆周角定理得到 OBC=CDO，等量代换即可【解答】解：作直径CD，在 RtOCD 中，CD=6，OC=2，则 OD=4，tanCDO=，由圆周角定理得，OBC=CDO，则 tanOBC=，故选：C2.（2016四川乐山 3 分）如图3，在Rt ABC中，90BAC，ADBC于点D，则下列结论不正
2、确的是()A sinADBAB()BsinACBBC()CsinADBAC()DsinCDBAC答案：C 解析：考查正弦函数的概念。由正弦函数的定义，知：A、B正确，又 CAD B，所以，sinsinCDBCADAC，D也正确，故不正确的是C。3.(2016 广东，8,3 分)如图，在平面直角坐标系中，点A 坐标为（4,3），那么 cos的值是（）A、34B、43C、35D、45答案：D 考点：三角函数，勾股定理。解析：过点A 作 AB垂直 x 轴与 B，则 AB3，OB4，由勾股定理，得OA5，所以，4cos5OBOA，选 D。4.（2016 年浙江省衢州市）如图，AB 是 O 的直径，C
3、是 O 上的点，过点C 作 O 的切线交 AB 的延长线于点E，若 A=30 ，则 sinE 的值为（）A BCD【考点】切线的性质【分析】首先连接OC，由 CE 是 O 切线，可证得 OCCE，又由圆周角定理，求得 BOC的度数，继而求得E 的度数，然后由特殊角的三角函数值，求得答案【解答】解：连接OC，CE 是 O 切线，OCCE，A=30，BOC=2A=60 ，E=90 BOC=30 ，sinE=sin30=故选 AoxyA文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M
4、6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:
5、CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O
6、3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10
7、 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2
8、I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7
9、 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3
10、Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M65（2016山东烟台）如图，是我们数学课本上采用的科学计算器面板，利用该型号计算器计算cos55，按键顺序正确的是（）ABCD【考点】计算器三角函数；计算器数的开方【分析】简单的电子计算器工作顺序是先输入者先算，其中RCM 表示存储、读出键，M+为存储加键，M为存储减键，根据按键顺序写出式子，再根据开方运算即可求出显示的结果【解答】
11、解：利用该型号计算器计算cos55，按键顺序正确的是故选：C6（2016山东烟台）如图，O 的半径为1，AD，BC 是 O 的两条互相垂直的直径，点P从点 O 出发（P点与 O 点不重合），沿 OCD 的路线运动，设AP=x，sinAPB=y，那么 y 与 x 之间的关系图象大致是（）文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 Z
12、E3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3
13、S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文
14、档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ
15、7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E
16、6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 H
17、R7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9
18、N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6ABCD【考点】动点问题的函数图象【分析】根据题意确定出y 与 x 的关系式，即可确定出图象【解答】解：根据题意得：sin APB=，OA=1，AP=x，sinAPB=y，xy=1，即 y=（1 x2），图象为：，故选 B7（2016?辽宁沈阳）如图，在RtABC 中，C=90，B=30，AB=8，则 BC 的长是（）AB4 C8D4【考点】解直角三角形【分析】根据cosB=及特殊角的三角函数值解题即可【解答】解：在RtABC 中，C=90 ，B=30 ，AB=8，cosB=，
19、即 cos30=，文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S1
20、0M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编
21、码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W
22、6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F
23、10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7
24、Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4
25、I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6BC=8=4；故选：D8.(2016 兰州，4,4 分)在 Rt ABC中，C90，sinA35，BC 6，则AB（）。（A）4（B）6（C）8（D）
26、10【答案】D【解析】在Rt ABC中，sinABC AB6AB35，解得AB10，所以答案选D。【考点】三角函数的运用【点评】本题考查了三角函数的定义及特殊角的三角函数值，是基础知识，需要熟练掌握9（2016江苏无锡）sin30 的值为（）A BCD【考点】特殊角的三角函数值【分析】根据特殊角的三角函数值，可以求得sin30 的值【解答】解：sin30=，故选 A二、填空题1（2016黑龙江大庆）一艘轮船在小岛A的北偏东60方向距小岛80 海里的 B处，沿正西方向航行3 小时后到达小岛的北偏西45的 C处，则该船行驶的速度为海里/小时【考点】解直角三角形的应用、锐角三角函数【分析】设该船行驶
27、的速度为x 海里/时，由已知可得BC=3x，AQ BC，BAQ=60，CAQ=45，AB=80海里，在直角三角形ABQ中求出 AQ、BQ，再在直角三角形AQC中求出CQ，得出 BC=40+40=3x，解方程即可【解答】解：如图所示：设该船行驶的速度为x 海里/时，文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6
28、文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:C
29、Z7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3
30、E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10
31、HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I
32、9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7
33、ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y
34、3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M63 小时后到达小岛的北偏西45的 C处，由题意得：AB=80海里，BC=3x海里，在直角三角形ABQ中，BAQ=60，B=90 60=30，AQ=AB=40，BQ=AQ=40，在直角三角形AQC中，CAQ=45，CQ=AQ=40，BC=40+40=3x，解得：x=即该船行驶的速度为海里/时；故答案为：【点评】本题考查了解直角三角形的应用中的方向角问题、等腰直角三角形的性质、含 30角的直角三角形的性质等知识；通过解直角三角形得出方程是解决问题的关键2.(2016 四 川 自 贡)如图，在边长相同的小
35、正方形网格中，点A、B、C、D 都在这些小正方形的顶点上，AB，CD 相交于点P，则的值=3，tanAPD 的值=2【考点】锐角三角函数的定义；相似三角形的判定与性质【专题】网格型【分析】首先连接BE，由题意易得BF=CF，ACP BDP，然后由相似三角形的对应边成比例，易得 DP：CP=1：3，即可得 PF：CF=PF：BF=1：2，在 RtPBF 中，即可求得tan BPF的值，继而求得答案【解答】解：四边形BCED 是正方形，DB AC，文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B
36、3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10
37、M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码
38、:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6
39、O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F1
40、0 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y
41、2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I
42、7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6 DBP CAP，=3，连接 BE，四边形 BCED 是正方形，DF=CF=CD，BF=BE，CD=BE，BECD，BF=CF，根据题意得：AC BD，ACP BDP，DP：CP=BD：AC=1：3，DP：DF=1：2，DP=PF=CF=BF，在 RtPBF 中，tanBPF=2，APD=BPF，tanAPD=2，故答
43、案为：3，2【点评】此题考查了相似三角形的判定与性质与三角函数的定义此题难度适中，解题的关键准确作出辅助线，注意转化思想与数形结合思想的应用3.(2016 新 疆)计算：（2）2+|1|2sin60【考点】实数的运算；零指数幂；特殊角的三角函数值【专题】计算题【分析】根据实数的运算顺序，首先计算乘方，然后从左向右依次计算，求出算式（2）0+|1|2sin60 的值是多少即可文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I
44、7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B
45、3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10
46、M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码
47、:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6
48、O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F1
49、0 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y
50、2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6文档编码:CZ7W6O3E6F10 HR7Y2I9N4I7 ZE3B3Y3S10M6【解答】解：（2）2+|1|2sin60=4+1 2=【点评】（1）此题主要考查了实数的运算，要熟练掌握，解答此题的关键是要明确：在进行实数运算时，和有理数运算一样，要从高级到低级，即先算乘方、开方，再算乘除，最后算加减，有括号的要先算括号里面的，同级运算要按照从左到有的顺序进行另外，有理数的运算律在实数范围内仍然适用（2）此题还考查了零指数幂的运算，要熟练掌握，解答此题的关键是要明确：a