名校
1 . 已知△ABC满足AB=1,AC=2,
.若E为△ABC内一点,满足
.(
R),且
,延长AE至BC交于点D,则
=_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e5dba31a1738d13c82e1a719b97a343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15168765574b75b64af50f52b9fd458b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8b710ef8c39d3ba74e032a8b7859184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44122db4c07a0ca7cd4aa018b6b7bdd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a92093c1401275685771a2bea47a25.png)
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解题方法
2 . 如图,在正方体
中,
,
、
分别是
、
的中点,平面
分别与
、
交于
、
两点,则
( )
![](https://img.xkw.com/dksih/QBM/2020/11/17/2595102673805312/2596258439716864/STEM/0db2113b16d14fdaab958444b6221bc6.png?resizew=234)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239198e40085b7dcffbe747c9c265a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5563473602e1b17d582a165b7b7b6b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9932b14d1f7f381263281a50100c27b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79931c6e2ed9b7a9abe34fdd9b96955a.png)
![](https://img.xkw.com/dksih/QBM/2020/11/17/2595102673805312/2596258439716864/STEM/0db2113b16d14fdaab958444b6221bc6.png?resizew=234)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 如图所示,在直角梯形BCEF中,
,A,D分别是BF,CE上的点,
,且
(如图①)将四边形ADEF沿AD折起,连接BE,BF,CE(如图②),有折起的过程中,下列说法中错误的个数是( )
![](https://img.xkw.com/dksih/QBM/2020/11/3/2585106731393024/2585156922671104/STEM/7e57f735-cff3-49c9-bae0-b91647ccb996.png?resizew=383)
①
平面BEF;②B,C,E,F四点不可能共面;③若
,则平面
平面ABCD;④平面BCE与平面BEF可能垂直.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb18f3937480ab5ad6cf0d65a357c75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f2275cfc3cc50b92b16288db72cfe0.png)
![](https://img.xkw.com/dksih/QBM/2020/11/3/2585106731393024/2585156922671104/STEM/7e57f735-cff3-49c9-bae0-b91647ccb996.png?resizew=383)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f81fa367ec317fe2a30142e1c30cce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c1be2a5bfe8bab50cb68fe52d0f92ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9367449a5847eade07e69f4feddcb027.png)
A.0 | B.1 | C.2 | D.3 |
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2020-11-03更新
|
381次组卷
|
3卷引用:陕西省西安中学2021届高三高考数学(理)模拟试题(三)
解题方法
4 . 已知正三棱柱
的体积为54,
,记三棱柱
的外接球和内切球分别为球
,球
,则球
上的点到球
上的点的距离的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
5 . 已知
是椭圆
的一个焦点,若直线
与椭圆相交于
两点,且
,则椭圆离心率的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df40c4447831f196742d18f18665f1d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422935d85056bc2fa6d4d50d034f62eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cc4908fa31c032d29c1b1057d7dbaa0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-07-02更新
|
2350次组卷
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12卷引用:宁夏石嘴山市2021届高三下学期三模数学(理)试题
宁夏石嘴山市2021届高三下学期三模数学(理)试题2021届吉林省长春市高三四模数学理科试题(已下线)专题06 《圆锥曲线与方程》中的压轴题(2)-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册) 浙江省丽水市2019-2020学年高二下学期期末数学试题江苏省扬州市江都中学2022-2023学年高二上学期期末数学试题江苏省镇江市扬中市第二高级中学2022-2023学年高二下学期期初检测数学试题(已下线)专题8-3 圆锥曲线小题综合 (讲+练)-1吉林省四校联考2023-2024学年高二上学期10月月考数学试题吉林省长春市十一高中等四校联考2023-2024学年高二上学期第一次月考数学试题江苏省扬州市邗江区第一中学2023-2024学年高二上学期月考重点复习数学试题(已下线)专题7-3圆锥曲线离心率归类-1(已下线)大招10焦点三角形
名校
6 . 已知函数
.
(1)求
最小正周期及对称中心;
(2)在锐角
中,a,b,c分别为角A,B,C的对边,且
,
,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68a31bebec2d358db096cd306bf0f46.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3819e3abe5ba10dc15142a6a8a616ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2020-05-28更新
|
1767次组卷
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3卷引用:甘肃省民乐县第一中学2021届高三押题卷(二)数学(文)试题
7 .
中,
,且对于
,
最小值为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4397f6e86c69e6b597e7e8635afbfb8.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcceb23ebe641d8c8098a1c5937fcf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0482cfd15c64a71046d67338cc672a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff78569d5e62410005c98a0f321dfd17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4397f6e86c69e6b597e7e8635afbfb8.png)
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2020-05-04更新
|
1603次组卷
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11卷引用:浙江省2021届高三4月份高考数学模拟试题(9)
浙江省2021届高三4月份高考数学模拟试题(9)四川省棠湖中学2020届高三第一次高考适应性考试数学(理)试题四川省棠湖中学2020届高三第一次高考适应性考试数学(文)试题重庆市南开中学2019-2020学年高三下学期线上期中数学(文)试题安徽省淮北市第一中学2019-2020学年高三下学期第五次考试数学(文)试题(已下线)专题13 平面向量-2020年高考数学(理)母题题源解密(全国Ⅱ专版)(已下线)专题05 平面向量-2020年高考数学(文)母题题源解密(全国Ⅱ专版)广东省汕头市金山中学2019-2020学年高一下学期6月月考数学试题(已下线)专题6.5 平面向量单元测试卷(测)-2021年新高考数学一轮复习讲练测(已下线)专题5.平面向量与复数 -《2022届复习必备-2021届浙江省高考冲刺数学试卷分项解析》(已下线)重难点04五种平面向量数学思想-1
名校
解题方法
8 . 已知双曲线
的左、右焦点分别为
,点
是双曲线
的右顶点,点
是双曲线
的右支上一点,
.若
是以
为顶角的等腰三角形,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7b6726b469b58ee7a8da30cfac5129.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c38928a92bc4b44ed3c9b89769f5372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113ea5616b16c34f37506d4653bbc64a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d6859605702002ccec025a002e8822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1d5e20f34b4c18f534e16da2a2e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.3 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-04-28更新
|
829次组卷
|
3卷引用:安徽省滁州市定远中学2021届高三下学期5月模拟文科数学试题
名校
9 . 在
中,若
,则
的最大值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51415e60bf10f9361e8c328d385f2508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
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2020-04-24更新
|
2828次组卷
|
9卷引用:江西省进贤县第一中学2021届高三教学质量检测数学试题
名校
解题方法
10 . 如图,
的内角
,
,
的对边分别为
,
,
,且满足
,
,设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb7e00f8bacce4d649b535449f04568c.png)
,
,则四边形
面积的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb35108a48ea327333829c36712619d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b05d3b8f5c9df891ef6fbcaf12f43207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb7e00f8bacce4d649b535449f04568c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375bb65574118fa71884d186efdb32b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612e9b66bf2419b6d97d4b3d931da573.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea16ceca816f7d3d50650af141baf42.png)
![](https://img.xkw.com/dksih/QBM/2020/4/1/2431675979317248/2432126425546752/STEM/f65db185bebd43deaedfe4ca868506ec.png?resizew=131)
您最近一年使用:0次
2020-04-01更新
|
732次组卷
|
4卷引用:山西省阳泉市2021届高三三模数学(理)试题