解题方法
1 . 如图,圆
内接正三角形
边长为2,圆心为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f99da0fee1e1336fd814cab604f12c64.png)
________ .若线段
上一点
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7179d64466362e948981bfa40c9b803.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f99da0fee1e1336fd814cab604f12c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2544d2219b85e4f5fa78ff110a7a1e30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7179d64466362e948981bfa40c9b803.png)
![](https://img.xkw.com/dksih/QBM/2020/5/21/2467729161084928/2468281130573824/STEM/8d8a0a6d-53df-4d13-a979-2e8f34f50d50.png)
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解题方法
2 . 已知首项与公比相等的等比数列
中,若
,满足
,则
的最小值为______ ,等号成立时
满足的等量关系是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854ccb472313417fbf23ce64a39a1824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca8be68b403ba4a84e9a6eed0d9add57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88ea271b3352d75008832f129d39dc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
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解题方法
3 . 已知抛物线
的焦点为
,
为抛物线
上的三个动点,其中
且
若
为
的重心,记
三边
的中点到抛物线
的准线的距离分别为
且满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b54e384a072508d4754e0f1636f8f66.png)
____ ;
所在直线的方程为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1ba86ffc6e5542b62319848c14acaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/835c13baf36a7c048f4f0c294a48eb9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5852d1ca94a94399099df3f9389f592d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ac2dd55fa98f9bf10fcd95ce3169c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ac2dd55fa98f9bf10fcd95ce3169c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f263e333c5e83c4a8b52b2a79f0e858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21a18931d7987d54d7d0e18a06ba1a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc3bb06ef9e7ed1b6d74e0d9a20cdf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b54e384a072508d4754e0f1636f8f66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33dd1061942e632396b5c7b61f999dd.png)
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2020-05-20更新
|
428次组卷
|
6卷引用:河北省石家庄市2019-2020学年高三下学期5月阶段性训练数学(文)试题
河北省石家庄市2019-2020学年高三下学期5月阶段性训练数学(文)试题2020届石家庄市高三年级阶段性训练(文)试题2020届河北省石家庄市高考模拟数学(文)试题(已下线)专题19 抛物线(客观题)-2021年高考数学(文)二轮复习热点题型精选精练(已下线)专题20 抛物线(客观题)-2021年高考数学二轮复习热点题型精选精练(新高考地区专用)(已下线)专题21 抛物线(客观题)-2021年高考数学(理)二轮复习热点题型精选精练
19-20高三下·北京·阶段练习
名校
4 . 已知
的展开式各项系数之和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
_____ ,展开式中含
项的系数为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8c6f6b225e8c8823c8b3c0c25577d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faafcfb3bf051d14d84c14240b9116d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
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5 .
的内角A,B,C的对边分别为a,b,c.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4b82e1203841d2ef1a5a46351878b3.png)
_______ ,
的最大值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00eba9e4690883145c3b8d65e67acbf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4b82e1203841d2ef1a5a46351878b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32e2f2d7147cf1699fbfdef9cf4af74.png)
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6 . 已知复数
,则复数
的模为______ ;复数
的虚部为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b698d65994ab29eee003125e5b0b8f70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1245ed74a632317d3a0a106aa9d02eaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1245ed74a632317d3a0a106aa9d02eaf.png)
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2020-05-13更新
|
529次组卷
|
3卷引用:天津市和平区2019-2020学年高一下学期期中数学试题
名校
7 . 已知空间向量
,
,
的模长分别为1,2,3,且两两夹角均为
.点
为
的重心,若
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee477d164d38ff067fc4ce342cf6d380.png)
__________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a358fb7503853a68833f9f132757b41a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d956b09c004ddf8bdf6669a8182e80ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8e287cd7e75c3199af6f935492c947a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49163e9dc6878910a10d2b4aa1ddad93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551e44d6b13e9eb65dc2c72ca526d4b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70cecfc37310dd869b0d51ff44d64e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee477d164d38ff067fc4ce342cf6d380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a358fb7503853a68833f9f132757b41a.png)
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2020-05-12更新
|
967次组卷
|
13卷引用:2018年浙江省新高考仿真训练卷(三)
2018年浙江省新高考仿真训练卷(三)山东省济南市章丘区第四中学2019-2020学年高二第四次质量检测数学试题(已下线)[新教材精创] 1.1 空间向量其运算(提高练习) -人教A版高中数学选择性必修第一册(已下线)专题01 空间向量及其运算(核心素养练习)-【新教材精创】2020-2021学年高二数学新教材知识讲学(人教A版选择性必修第一册)江苏省扬州市仪征中学2022-2023学年高三下学期3月学情测试数学试题(已下线)专题1.1 空间向量与空间向量基本定理(B卷提升篇)-2020-2021学年高二数学选择性必修第一册同步单元AB卷(新教材人教A版,浙江专用)(已下线)第一章 空间向量与立体几何 1.2空间向量基本定理-2021-2022学年高二数学上学期同步课堂习题测试(人教A版2019选择性必修第一册)广东省佛山市顺德区文德学校2021-2022学年高二上学期第一次阶段测试数学试题(已下线)第1.3讲 空间向量基本定理-2021-2022学年高二数学链接教材精准变式练(人教A版2019选择性必修第一册)(已下线)卷03 高二上学期10月第一次月考-重难点突破 A卷(原卷版)-【重难点突破】2021-2022学年高二数学上册常考题专练(人教A版2019选择性必修第一册)沪教版(2020) 选修第一册 新课改一课一练 第3章 3.1.2 空间向量及其运算(2)(已下线)第一章 空间向量与立体几何(基础、典型、新文化、压轴)分类专项训练-2022-2023学年高二数学考试满分全攻略(人教A版2019选择性必修第一册)甘肃省兰州市第二中学2023-2024学年高二下学期期中考试数学试卷
8 . 点
分别为三棱柱
的棱
的中点,设
的面积为
,平面
截三棱柱
所得截面面积为
,五棱锥
的体积为
,三棱柱
的体积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286a397daaee20664f1bc0acb86af07e.png)
_____ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9047cefc91e5ffe044761734a2cfe6c.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ba791067d6d1707bbe66a6386003d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3bacc06686947aeaf85e71b2e46aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e74395b07e8153a0ef0bbcb5881013f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0cf7c591be9f00e14de1beb8ae967a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4764374bd2fb78e59cd0b283637baeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286a397daaee20664f1bc0acb86af07e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9047cefc91e5ffe044761734a2cfe6c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/ad42bb5e-39f3-4de4-b938-92044ae45793.png?resizew=118)
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解题方法
9 . 设函数
,则函数
的最小正周期为____ ;若对于任意
,都有
成立,则实数
的最小值为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e43f42322b0ccc58ca9bd185e6b926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80315917e7f564864105cd4c7e95fb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
10 . 已知某三棱锥的三视图如图所示,则该三棱锥的最长棱的长为________ ,它的体积为________ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/7b15a975-dac6-4c73-8109-01cdf19c3d7b.png?resizew=228)
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