名校
1 . 已知
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d025445b09b8f1b65f7cfd48c86838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c83bf5caa2be6db7dcdb91eee688fa9.png)
A.![]() | B.4 | C.6 | D.![]() |
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名校
解题方法
2 . 设双曲线
的左焦点为F,O为坐标原点,P为双曲线C右支上的一点,
,
在
上的投影向量的模为
,则双曲线C的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775c7ecd1713fe49c0b449bfc58d72c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b001cb332a64f2a72dd71a41862595ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e065fbbc5c8160545b51f50b2a9606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ca651e78a0a182d81c30488683d594.png)
A.3 | B.4 | C.5 | D.6 |
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2024-06-11更新
|
307次组卷
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2卷引用:贵州省2024届高三下学期4月新高考“大数据赋分”诊断性联合考试数学试题
名校
解题方法
3 . 欧拉函数
表示不大于正整数
且与
互素(互素:公约数只有1)的正整数的个数.已知
,其中
,
,…,
是
的所有不重复的质因数(质因数:因数中的质数).例如
.若数列
是首项为3,公比为2的等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c47847486c103fabb5b4ba4220c6a8.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc89a53c03cb86fb653bb82128f6cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac535d98f300ff35496c66fe3c66a5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be646cd52d7f2f1714e7542e75810f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad9633b73dfbbb3d84b4f15979e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b9bd3d8d836eb723be002c86a53740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b9fa588c3a8ac4df1b963a1f2850163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c47847486c103fabb5b4ba4220c6a8.png)
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2024-06-03更新
|
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3卷引用:贵州省黔南州2024届高三下学期第二次模拟统考数学试题
名校
4 . 已知正实数
,
满足
,则
的最大值为( )
![](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/272623df91554c2ebbf61f363eaaa673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd431067392a8350a0eb827dba39a31e.png)
A.0 | B.![]() | C.1 | D.![]() |
您最近一年使用:0次
2024-06-03更新
|
1447次组卷
|
3卷引用:贵州省凯里市第一中学2024届高三模拟考试(二模)数学试题
名校
解题方法
5 . 定义在
上的函数
满足
,且函数
关于点
对称,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f9d5f506f0e1dab52eddadae97b25a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92146c133ba2bdbda499f5af2bdda022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0e705301752424a492f6277ed7774e.png)
A.函数![]() ![]() | B.4是函数![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
6 . 已知双曲线
的左、右焦点分别为
,
,
为坐标原点,双曲线的离心率为2,过
作直线
的垂线,垂足为
,与双曲线右支和
轴的交点分别为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc80a1525c76e1890d8a4983186e6980.png)
________ ;
的内切圆在
边上的切点为
,若双曲线的虚轴长为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36dc57ee3ad90895adb9ef9d8a558aaa.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e04a6d711600fc4f8a8df876a85cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/bc80a1525c76e1890d8a4983186e6980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c07ebcbfacda073208d483c58e8a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabea664e61863b3b3279dbce607924e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b10e8abf8690e4b129466ddb918bcc94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36dc57ee3ad90895adb9ef9d8a558aaa.png)
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解题方法
7 . 如图,在多面体
中,四边形
为正方形,
,且
,M为
中点.
,使得平面
与平面
的平行(只需作图,无需证明)
(2)试确定(1)中的平面
与线段
的交点所在的位置;
(3)若
平面
,在线段
是否存在点P,使得二面角
的平面角为余弦值为
,若存在求出
的值,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c7e72ef83184b96b12a51daf32c220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa340006e03fe33f2423dd9a34fa8b3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
(2)试确定(1)中的平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b744948dc9f35c55bd4b41d4cbe89767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/399e302b4df500446567f2b7f6d5d8d7.png)
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8 . 设m、n为空间中两条不同直线,
、
为空间中两个不同平面,下列命题中正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
A.若m上有两个点到平面![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若m、n是异面直线,![]() ![]() ![]() ![]() ![]() |
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2024-05-14更新
|
1690次组卷
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7卷引用:贵州省2024届高三下学期4月新高考“大数据赋分”诊断性联合考试数学试题
贵州省2024届高三下学期4月新高考“大数据赋分”诊断性联合考试数学试题河北省保定市曲阳县第一高级中学2023-2024学年高一下学期5月月考数学试卷(已下线)江苏省南京市建邺高级中学2022-2023学年高一下学期期末数学试题(已下线)专题3 考前押题大猜想11-15(已下线)第六章立体几何初步章末二十种常考题型归类(2)-【帮课堂】(北师大版2019必修第二册)广东省茂名市信宜市第二中学2023-2024学年高一下学期5月月考数学试题(已下线)第1套 复盘提升卷 (基础)【高一期末复习全真模拟】
名校
解题方法
9 . 在
中,角
的对边分别为
,D为
的中点,已知
,
,且
,则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de72a16fa73290a41a43e572a1874b84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92ab9594f0113def704b413553345a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-14更新
|
1699次组卷
|
6卷引用:贵州省遵义市2024届高三第三次质量监测数学试卷
贵州省遵义市2024届高三第三次质量监测数学试卷(已下线)江苏省盐城市盐城中学2024届高三全仿真模拟考试数学试题辽宁省沈阳铁路实验中学2024届高三第八次模拟考试数学试题(已下线)专题03 高一下期末考前必刷卷01(基础卷)-期末考点大串讲(人教A版2019必修第二册)(已下线)专题05解三角形压轴小题归类(1) -期末考点大串讲(苏教版(2019))山东省青岛市第五十八中学2023-2024学年高一下学期第二次阶段性检测数学试题
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解题方法
10 . 在
中,角
所对的边分别为
且
.当
取最小值时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7132c2d8b2ff504e6c2ba36c4f6dcfaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2aa66f20c71359a8877729321c4981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd05757287dbdb9ae8f7b15bf6110849.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
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2024-05-06更新
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2卷引用:贵州省贵阳市第一中学2024届高三下学期高考适应性月考(七)(二模)数学试卷