已知两曲线参数方程分别为 (0≤θ<π)和 (t∈R),求它们的交点坐标.
已知两曲线参数方程分别为(0≤θ<π)和(t∈R),求它们的交点坐标....
已知两曲线参数方程分别为 (0≤θ<π)和 (t∈R),求它们的交点坐标.
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十一__538
推荐于2016-03-12
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(1, ![](https://iknow-pic.cdn.bcebos.com/0824ab18972bd40794cddb4e78899e510fb3097e?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) ) |
![](https://iknow-pic.cdn.bcebos.com/314e251f95cad1c8de30f4947c3e6709c83d51fd?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) (0≤θ<π)消去参数后的普通方程为 ![](https://iknow-pic.cdn.bcebos.com/d31b0ef41bd5ad6e4bf36c5982cb39dbb6fd3c7e?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) +y 2 =1(- ![](https://iknow-pic.cdn.bcebos.com/7e3e6709c93d70cf4471a2befbdcd100bba12bfd?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) <x≤ ![](https://iknow-pic.cdn.bcebos.com/7e3e6709c93d70cf4471a2befbdcd100bba12bfd?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) ,0≤y≤1), ![](https://iknow-pic.cdn.bcebos.com/50da81cb39dbb6fdc951ed950a24ab18972b377e?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) 消去参数后的普通方程为y 2 = ![](https://iknow-pic.cdn.bcebos.com/b7fd5266d0160924352faaa8d70735fae6cd347e?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) x,联立两个曲线的普通方程得x=-5(舍)或x=1,所以y= ![](https://iknow-pic.cdn.bcebos.com/0824ab18972bd40794cddb4e78899e510fb3097e?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) ,所以它们的交点坐标为(1, ![](https://iknow-pic.cdn.bcebos.com/0824ab18972bd40794cddb4e78899e510fb3097e?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) ). |
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