解题方法
1 . 已知函数
,若方程
的实根个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf16b6e49bc03097ddf1b16963a24998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38655c1073843965af7feaa4cdd56f5d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
2 . “曼哈顿距离”是人脸识别中的一种重要测距方式,其定义如下:设
,
,则
,
两点间的曼哈顿距离
已知
,点
在圆
上运动,若点
满足
,则
的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.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/79c04bbc507d8f917da5253fca7f2c9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a5862f87bdbd8d6c653905cddb9900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f6ae1c2a81078eac5ed2f4f823b671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b83e2fc66e8ab0e6f60a1790cea6c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de86d9c0675d246a280f6b71a68aaf9d.png)
您最近一年使用:0次
解题方法
3 . 如图,在正方体
中,
为棱
上的动点,
为棱
的中点,则下列选项正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/d8383a5f-e75c-4e29-b448-4f64e3f7be3b.png?resizew=160)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1859959fdb4c5edd8056893f94a10a0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/d8383a5f-e75c-4e29-b448-4f64e3f7be3b.png?resizew=160)
A.直线![]() ![]() |
B.当![]() ![]() ![]() ![]() ![]() |
C.不存在点![]() ![]() ![]() ![]() |
D.三棱锥![]() |
您最近一年使用:0次
名校
解题方法
4 . 双曲线
的右支上一点
在第一象限,
,
分别为双曲线
的左、右焦点,
为
的内心,若内切圆
的半径为1,则
的面积等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de66df5b4cd1344339588b99bf7214a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
A.24 | B.12 | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-08更新
|
716次组卷
|
2卷引用:江苏省无锡市四校2024届高三下学期期初学期调研数学试卷
5 . 设a为常数,
的定义域为R,
,则( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fb90e09994fdc6ab02ed6ba664f31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09dc9255e2a07ba9252f0e491eaec5d9.png)
A.![]() |
B.![]() |
C.![]() |
D.满足条件的![]() |
您最近一年使用:0次
2024-02-10更新
|
2276次组卷
|
5卷引用:江苏省无锡市四校2024届高三下学期期初学期调研数学试卷
名校
6 . 在
中,内角
,
,
的对边分别为
,
,
,已知该三角形的面积
.
(1)求角
的大小;
(2)若
时,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/af10698482f4981f32978da2d9d4f437.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-02-08更新
|
2061次组卷
|
6卷引用:江苏省无锡市四校2024届高三下学期期初学期调研数学试卷
江苏省无锡市四校2024届高三下学期期初学期调研数学试卷陕西省咸阳市2024届高三上学期模拟检测(一)文科数学试题(已下线)考点17 解三角形中的最值问题 --2024届高考数学考点总动员【练】(已下线)重难点3-2 解三角形的综合应用(8题型+满分技巧+限时检测)2024届高三新高考改革数学适应性练习(九省联考题型)广东省广州市西关外国语学校2023-2024学年高一下学期3月月考数学试题
名校
7 . 已知
是
个正整数组成的
行
列的数表,当
时,记
.设
,若
满足如下两个性质:
①
;
②对任意
,存在
,使得
,则称
为
数表.
(1)判断
是否为
数表,并求
的值;
(2)若
数表
满足
,求
中各数之和的最小值;
(3)证明:对任意
数表
,存在
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb9e3bc9630e025a82d66811b3e6441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d7b4bb12628d5ed455d814b8aafa1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944ff5528bc100046aab83f5919b3d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e828d4b2d7580fa04607cf8f14b05de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0d7559d8dfa8236ca9d4b1853fbdec.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d801812018b6aa0f5de382062c117757.png)
②对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59796b996ee446726b9c61def65cf99d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b105bdb6be37b0f8c3be1c1a477328e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3555d7cfaba51d818d2600c85089ee28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0d7559d8dfa8236ca9d4b1853fbdec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0e4fe02650625b09285e4fcf7e4dc5.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6326460f6bec38cc41124761d15df163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e518eeb07c02795385449a4f29cc88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591505c2a0e38da932d32f07e86738d7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e47cd514b2920609e3781c87df6ab70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec03fe13019f0b88d57aeb34cad7441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e47cd514b2920609e3781c87df6ab70.png)
(3)证明:对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59639b9c4eadbbfb2f4f2b57d9c4c3a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249b92e30f3808f5287db70a9eec6a53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91cf9a662222271515ebdef704f76047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22130489fa8821bfcb7b54d5b1748acc.png)
您最近一年使用:0次
2023-11-09更新
|
3436次组卷
|
10卷引用:江苏省无锡市四校2024届高三下学期期初学期调研数学试卷
江苏省无锡市四校2024届高三下学期期初学期调研数学试卷北京市朝阳区2024届高三上学期期中数学试题2024年普通高等学校招生全国统一考试数学模拟试题(一)(新高考九省联考题型)江苏省南通市新高考2024届高三适应性测试数学模拟试题湖南省长沙市长郡中学2024届高三寒假作业检测(月考六)数学试题(已下线)新题型01 新高考新结构二十一大考点汇总-3(已下线)(新高考新结构)2024年高考数学模拟卷(一)(已下线)黄金卷05(2024新题型)湖北省黄冈市浠水县第一中学2024届高三下学期第二次模拟考试数学试题广东省广州市广东实验中学2024届高三教学情况测试(一)数学B卷
名校
8 . 若
,
,
是空间三个单位向量,
,
夹角为
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da1c5bcaa260128e281a12f6ef6aacbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4775ef429f350aad7e4ca09a55c5c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b979bca6f77fedc2410206e1ff3718a7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 如图,在四棱锥
中,
平面ABCD,底面ABCD是菱形,点O是对角线AC与BD的交点,
,
,M是PD的中点.
(1)求证:
平面PAB;
(2)求证:平面
平面PAC;
(3)当三棱锥
的体积等于
时,求PA的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/14/418257f7-e3ca-46c7-8280-70028467bd19.png?resizew=159)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75844725734f498eb983fe76cece2f8.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04c222223dae9ef27d4c132534d9848.png)
(3)当三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10c16d2d9d22c4b34ddd965e26aa0d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
您最近一年使用:0次
名校
解题方法
10 . 已知向量
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a18798408a1b91fdb12deb79f0b562a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b7a9dbca961d7326a25a8d50ff96469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e843bf3f5c909660592525be765f98c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a18798408a1b91fdb12deb79f0b562a.png)
您最近一年使用:0次