骑自行车是一种能有效改善心肺功能的耐力性有氧运动,深受大众喜爱,如图是某一自行车的平面结构示意图,已知图中的圆A(前轮),圆
(后轮)的半径均为
,
,
,
均是边长为2的等边三角形.设点P为后轮上的一点,则在骑动该自行车的过程中,
的最大值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2657e02314469ad2b13d31dce41b4343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b265d121f9ebc13671a5719604476a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bfc4f53cd2cf1fa28f1924364a3e06.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/25/8c229f6c-790a-4c1d-afc5-036c7de03485.png?resizew=187)
更新时间:2023-07-23 08:16:38
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【推荐1】已知函数
且
,给出下列四个命题:
(1)该函数的值域为
;
(2)当且仅当
时,
;
(3)对任意
,
恒成立.
上述命题中正确的序号是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad8b4c4ec0d7db9e3cef60b08d8d284.png)
(1)该函数的值域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
(2)当且仅当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e492d5777a9bddff39dd2cd2e8baf9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(3)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1a54321dc936f93dabfd53b577984d0.png)
上述命题中正确的序号是
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【推荐2】已知复数
满足
,则
i|的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ec00601d3297c94a1a224421df7d1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c261f4095afde5e1cacafa7dd5feab.png)
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解题方法
【推荐1】过点
作圆
的切线交坐标轴于点
、
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33712aa2d5824ca6e49317c3cafeb9e2.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e133eb3bb45bc93ecc88a186d7be937b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33712aa2d5824ca6e49317c3cafeb9e2.png)
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【推荐3】已知平面向量
,
,
,
,且
,若
为平面单位向量,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd18461fd9d77e6fa46a654f0ab540f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082c6926889f84f438ea35f70bf05f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/371ba95d0ac2642d0e112ea2430025f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56eda4bb8604c18d0016a4377d05435a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13bcbb142ad0274af4247c00cefc2db0.png)
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