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1、名师精编优秀教案 2.2双曲线2.2.1双曲线及其标准方程一、基础过关1若方程y24x2m1 1 表示双曲线，则实数m 的取值范围是()A 1m1 Cm3 Dm0)B.x24y2121(x0)C.x24y2121 D.y24x2121 9已知双曲线的两个焦点F1(5，0)，F2(5，0)，P 是双曲线上一点，且PF1 PF2名师精编优秀教案0，|PF1|PF2|2，则双曲线的标准方程为_10.如图，已知定圆F1：x2 y210 x240，定圆 F2：x2y210 x 90，动圆 M 与定圆 F1、F2都外切，求动圆圆心M 的轨迹方程11.已知双曲线过点(3，2)且与椭圆4x29y236 有相同
2、的焦点(1)求双曲线的标准方程；(2)若点 M 在双曲线上，F1、F2为左、右焦点，且|MF1|MF2|6 3，试判别 MF1F2的形状三、探究与拓展12A、B、C 是我方三个炮兵阵地，A 在 B 正东 6 千米，C 在 B 北偏西 30，相距 4 千米，P 为敌炮阵地，某时刻A 处发现敌炮阵地的某种信号，由于B、C 两地比 A 距P 地远，因此4 s 后，B、C 才同时发现这一信号，此信号的传播速度为1 km/s，求A 应沿什么方向炮击P 地文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B
3、8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9
4、J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码
5、:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2
6、U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W
7、9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H
8、2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F
9、8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9名师精编优秀教案答案1B2 C3B4B5 A618 7(1,3)8C9.x24y21 10 解圆 F1：(x 5)2y21，圆心 F1(5,0)，半径 r11.圆 F2：(x5)2y242，圆心 F2(5,0)，半径 r24.设动圆 M 的半径为 R，则有|MF1|R1，|MF2|R 4，|MF2|MF1|3.M 点轨
10、迹是以F1、F2为焦点的双曲线(左支)，且 a32，c5.b2914.双曲线方程为49x2491y21(x32)11解(1)椭圆方程可化为x29y241，焦点在x 轴上，且c945，故设双曲线方程为x2a2y2b2 1，则有9a24b21，a2b25，解得 a23，b22，所以双曲线的标准方程为x23y221.(2)不妨设 M 点在右支上，则有|MF1|MF2|2 3，又|MF1|MF2|63，故解得|MF1|43，|MF2|23，又|F1F2|2 5，因此在 MF1F2中，|MF1|边最长，文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K
11、2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2
12、W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3
13、H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8
14、F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9
15、B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V
16、9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编
17、码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9名师精编优秀教案而 cosMF2F1|MF2|2|F1F2|2|MF1|22|MF2|F1F2|0，所以 MF2F1为钝角，故 MF1F2为钝角三角形文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9
18、HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V
19、4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8
20、ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N
21、10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9
22、文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:C
23、N8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U1
24、0I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9名师精编优秀教案12 解如图所示，以直线BA 为 x 轴，线段 BA 的垂直平分线为y 轴建立坐标系，则 B(3,0)、A(3,0)、C(5,23)，|PB|PC|，点 P 在线段 BC 的垂直平分线上kBC3，BC 的中点 D(4，3)，直线 PD：y313(x4)又|PB|PA|4，
25、故 P 在以 A、B 为焦点的双曲线右支上设 P(x，y)，则双曲线方程为x24y251(x2)联立、式，得 x 8，y53，所以 P(8,53)因此 kPA5 3833，故 A 应沿北偏东30 方向炮击P 地文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8
26、F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9
27、B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V
28、9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编
29、码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K
30、2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2
31、W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9文档编码:CN8K2U10I2W9 HN3H2V4R8F8 ZI9B8N10V9J9