已知函数 (Ⅰ)求函数 的最小正周期及单调递增区间;(Ⅱ)在 中,若 , , ,求 的值.
已知函数(Ⅰ)求函数的最小正周期及单调递增区间;(Ⅱ)在中,若,,,求的值....
已知函数 (Ⅰ)求函数 的最小正周期及单调递增区间;(Ⅱ)在 中,若 , , ,求 的值.
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ffNB9
2014-11-29
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已知函数 (Ⅰ)求函数 ![](https://iknow-pic.cdn.bcebos.com/03087bf40ad162d936b909af12dfa9ec8a13cd2a?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) 的最小正周期及单调递增区间; (Ⅱ)在 ![](https://iknow-pic.cdn.bcebos.com/8ad4b31c8701a18b34bc79fc9d2f07082838fe2a?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) 中,若 ![](https://iknow-pic.cdn.bcebos.com/8601a18b87d6277f2b45598b2b381f30e924fc2a?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/0ff41bd5ad6eddc42743df483adbb6fd536633d8?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/1ad5ad6eddc451daf6526758b5fd5266d11632d8?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) ,求 ![](https://iknow-pic.cdn.bcebos.com/ac6eddc451da81cb4142e87e5166d016082431d8?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) 的值. |
试题分析:解:(Ⅰ) ![](https://iknow-pic.cdn.bcebos.com/29381f30e924b899126b128b6d061d950a7bf62a?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) 2分 ![](https://iknow-pic.cdn.bcebos.com/e824b899a9014c08d36c4316097b02087bf4f42a?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) 4分 ![](https://iknow-pic.cdn.bcebos.com/b999a9014c086e06a3ff54f801087bf40ad1cb2a?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) 5分 由 ![](https://iknow-pic.cdn.bcebos.com/d1160924ab18972bab9e6b79e5cd7b899f510ad8?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) 得, ![](https://iknow-pic.cdn.bcebos.com/4d086e061d950a7bc262257709d162d9f2d3c92a?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/962bd40735fae6cdf910c0d20cb30f2443a70fd8?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) )., 7分 故 ![](https://iknow-pic.cdn.bcebos.com/03087bf40ad162d936b909af12dfa9ec8a13cd2a?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) 的单调递增区间为 ![](https://iknow-pic.cdn.bcebos.com/7af40ad162d9f2d392464f5caaec8a136327cc2a?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/962bd40735fae6cdf910c0d20cb30f2443a70fd8?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) ). 8分 (Ⅱ) ![](https://iknow-pic.cdn.bcebos.com/0bd162d9f2d3572cd7b5f76f8913632762d0c32a?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) ,则 ![](https://iknow-pic.cdn.bcebos.com/a8ec8a13632762d03c69cf0ca3ec08fa513dc62a?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) 9分 ![](https://iknow-pic.cdn.bcebos.com/7a899e510fb30f24c43e87b0cb95d143ac4b03d8?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) 10分 又 ![](https://iknow-pic.cdn.bcebos.com/58ee3d6d55fbb2fb967c33a14c4a20a44623dc2a?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) 11分 ![](https://iknow-pic.cdn.bcebos.com/f2deb48f8c5494eefb5cbc562ef5e0fe99257e06?x-bce-process=image/quality,q_85) 12分 ![](https://iknow-pic.cdn.bcebos.com/0eb30f2442a7d933400c8fc0ae4bd11372f001d8?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto) 13分 点评:解决的关键是利用二倍角公式将表达式化为单一函数,同时能结合性质来得到结论,属于基础题。 |
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