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1、名师精编优秀教案20.5.4 测量与计算预习案一、预习目标及范围：1.通过学习，了解方向角。(难点）2.能够掌握解方向角问题的方法。（重点）3.运用所学的知识解决实际的问题。预习要点1.在辨别方向角问题应注意什么？2.在实际生活中如何解决方向角的问题？三、预习检测1.如图，在一笔直的海岸线l 上有 A、B 两个观测站，AB=2km、从 A 测得船 C 在北偏东 45 的方向，从B 测得船 C 在北偏东22.5 的方向，则船C 离海岸线l 的距离（即CD 的长）为（）A.4km B.（2+2）km C.22 km D.（4-2）km 2.有一轮船在A 处测得南偏东30 方向上有一小岛P，轮船沿正
2、南方向航行至B 处，测得小岛 P在南偏东45 方向上，按原方向再航行 10 海里至 C 处，测得小岛P在正东方向上，则 A，B 之间的距离是（）海里。A.10 B.10-10 C.10 D.10-10 名师精编优秀教案3.如图，轮船从B 处以每小时60 海里的速度沿南偏东20 方向匀速航行，在B 处观测灯塔 A 位于南偏东50 方向上，轮船航行40 分钟到达C 处，在 C 处观测灯塔A 位于北偏东 10 方向上，则C 处与灯塔A 的距离是（）A.20 海里B.40 海里C.20 3/3 海里D.40 3/3 海里4.如图，一渔船由西往东航行，在A 点测得海岛C 位于北偏东60 的方向，前进40
3、 海里到达 B 点，此时，测得海岛 C 位于北偏东30 的方向，则海岛 C 到航线 AB 的距离 CD 是（）A.20 海里B.40 海里C.203 海里D.403 海里探究案一、合作探究文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:C
4、J7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9
5、J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:C
6、J7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9
7、J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:C
8、J7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9
9、J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3文档编码:CJ7Q6X2I8R9 HY8L2T2W9J7 ZP6F4S4U6I3名师精编优秀教案活动 1：小组合作（1）在辨别方向角问题中：一般是以第一个方向为向另一个方向旋转相应度数。（2）在解决有关方向角的问题中，一般要根据题意理清图形中的 关系，
10、有时所给的方向角并不一定在直角三角形中，需要用到相等或等知识转化为所需要的角。活动内容 2：典例精析例题 1、在数学活动课上，老师带领学生去测量位于北京大学未名湖东南湖畔的博雅塔的高度。如图所示，在C 处用高 1.2 米的测角仪CE 测得塔顶A 的仰角为30，向塔的方向前进 50m 到达 D 处，在 D 处测得塔顶A 的仰角为71。求博雅塔的高AB 约为多少米（结果精确到1m）。分析：设 EF 的延长线交AB 于点 G，根据题意，要求AB 的长，只要求出AG 的长即可。设 EF 的延长线交AB 于点 G，根据题意，得DF=BG=CE=1.2，EF=CD=50。设 AG=x m。在 RtAEG
11、和 RtAFG 中，AEF=30 ，AFG=71 ，EAG=60 ，FAG=19 ，tan EAG=E G/AG，EG=AGtan EAG=xtan60。同理 FG=AGtan FAG=19。又 EF=EG-FG，50=（tan60-tan19）x x=50/(tan60-tan19)36.0AB=AG+GB36.0+1.2 37（m）博雅塔的高AB 约为 37m。文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7
12、O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K
13、10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档
14、编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5
15、K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9
16、V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6
17、D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8
18、P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3名师精编优秀教案例题 2、如图，一艘轮船在诲面上由南向北航行，当它行驶到A 处时，发现它的东北方向有一座灯塔B，轮船继续向北航行24 海里后到达C 处，发现灯塔B 在它的北偏东75 方向，则此时轮船与灯塔B 的距离是（）A.242 海里B.122 海里C.243 海里D.123 海里分析：作 CDAB 于点 D，如右图所示，由题意可得，CAD=45 ，NCB=75 ，ADC=CDB=90 ，AC=
19、24 海里，B=30 ，AD=CD，CD=AC?sin45=242/2）=122 海里C=2CD=242 海里故选 A。二、随堂检测1.如图，港口A 在观测站 O 的正东方向，OA=4km，某船从港口A 出发，沿北偏东15方向航行一段距离后到达B 处，此时从观测站O 处测得该船位于北偏东60 的方向，则该船航行的距离（即AB 的长）为()A.4km B.23km C.2km D.(3+1)km 文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5
20、HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X
21、3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3
22、ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10
23、S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A
24、3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:
25、CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F
26、7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3名师精编优秀教案2.如图，一艘海轮位于灯塔P 的北偏东30 方向，距离灯塔80 海里的 A 处，它沿正南方向航行一段时间后，到达位于灯塔P的南偏东45 方向上的B 处，这时，海轮所在的B处与灯塔 P 的距离为()A.40 海里B.40 海里C.80 海里D.40 海里3.某时刻海上点P 处有一客轮，测得灯塔A 位于客轮P 的北偏东30 方向，且相距20海里 客轮以 6
27、0 海里/小时的速度沿北偏西60 方 向航行 2/3 小时到达B 处，那么 tanABP=（）。A.1/2 B.2 C.5/5 D.5/5 4.如图所示，渔船在A 处看到灯塔C 在北偏东60 方向上，渔船正向东方向航行了12海里到达 B 处，在 B 处看到灯塔C 在正北方向上，这时渔船与灯塔C 的距离是(）A.12 3 海里B.63 海里C.6 海里D.43 海里文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O
28、10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K1
29、0A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编
30、码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K
31、8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V
32、5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D
33、7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P
34、3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3名师精编优秀教案5.如图，为了测量河两岸A、B 两点的距离，在与AB 垂直的方向点C 处测得 AC=a，ACB=，那么 AB 等于（）A.a?sinB.a?tanC.a?cosD.a/tan6.王英同学从A 地沿北偏西60 方向走 100m 到 B 地，再从B 地向正南方向走200m 到C 地，此时王英同学离A 地米。7.一艘轮船在小岛A 的北偏东60 方向距小岛80 海里的 B 处，沿正西方向航行
35、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。8.如图，已知一渔船上的渔民在A 处看见灯塔M 在北偏东60 方向，这艘渔船以28 海里/时的速度向正东方向航行，半小时后到达B 处，在 B 处看见灯塔M 在北偏东15 方向，此时灯塔M 与渔船的距离是（）A.7 B.14 海里C.7 海里D.14 海里文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8
36、F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5
37、 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7
38、X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3
39、 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O1
40、0S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10
41、A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码
42、:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3名师精编优秀教案参考答案预习检测：1.B 2.D 3.D 4.C 随堂检测1.C 2.A 3.A 4.D 5.B 6.00 7.（40+40/3 8.A 文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5
43、HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X
44、3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3
45、ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10
46、S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A
47、3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:
48、CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3文档编码:CX5K8F7F9V5 HU6D7X3M8P3 ZO7O10S7K10A3