名校
1 . 向量,且
,则
您最近一年使用:0次
名校
2 . 已知非零向量
,
满足
,且
,则向量
与
的夹角为_______ .
![](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/c82a102684873f9dfde748535cdc6b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fab3f98be01a622d8305cb05766929f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
您最近一年使用:0次
2023-08-02更新
|
823次组卷
|
8卷引用:安徽省合肥六校联盟2022-2023学年高一下学期期末联考数学试卷
解题方法
3 . 已知
为双曲线
的左、右焦点,
为坐标原点,过点
且斜率为
的直线
交
的右支于点
,且
,则双曲线
的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef66f4832adc43902055a7e6d258037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a35b148c043ddff87cc37c8891138187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
您最近一年使用:0次
4 . 在平面直角坐标系
中,若对于曲线
上的任意点
,都存在曲线
上的点
,使得
成立,则称函数
具备“
性质”.则下列函数具备“
性质”的序号是__________ .
①
;②
;③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ffe69ab39492e018a51e21b52dd0fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb933c1fbeb3dd9929fd1623ba203eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7071d5bd0a9c62c880700cb16826df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4728764fa081f0fedfd0acfb9e941cd.png)
您最近一年使用:0次
2023-07-12更新
|
84次组卷
|
2卷引用:四川省自贡市2022-2023学年高二下学期期末考试数学(文)试题
解题方法
5 . 已知在四面体
中,
,
,则该四面体外接球的体积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10e83f53e04dea984d2140d89874a07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c75cd243cdc7f2da4b42e745f0cd625.png)
您最近一年使用:0次
2023-06-21更新
|
237次组卷
|
2卷引用:河南省焦作市2022-2023学年高二下学期期末数学试题
名校
6 . 已知点
在直线
上,点
在直线
外,若
,且
,
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ba38822c95ef670c535eb5c76ddfa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c253d5e4d6d6f7db0f32b812e12d88a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf13d86d78123424a56ef6ccb839bef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5813dd9f2bd01a38d749247eccca5449.png)
您最近一年使用:0次
2023-03-20更新
|
1741次组卷
|
8卷引用:辽宁省五校(省实验、东北育才、大连二十四中、大连八中、鞍山一中)联考2022-2023学年高一上学期期末考试数学试题
辽宁省五校(省实验、东北育才、大连二十四中、大连八中、鞍山一中)联考2022-2023学年高一上学期期末考试数学试题上海市七宝中学2022-2023学年高一下学期期中数学试题四川省成都市简阳市阳安中学2023届高考适应性考试数学(理科)试题(已下线)高一下学期期末考点大通关真题精选100题(1)-期中期末考点大串讲陕西师范大学附属中学2023届高三十一模文科数学试题陕西师范大学附属中学2023届高三下学期十一模理科数学试题(已下线)专题06 平面向量-1(已下线)8.1 向量的概念和线性运算-同步精品课堂(沪教版2020必修第二册)
名校
解题方法
7 . 向量
,
满足
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6fce004c47849c29ebd8d5d7c16e98.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/c7958a6bddd1d578bbd6fbcb92e3f6a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eedbb43aee832e16b573a08ec2c29702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e9a394c8c6177bcbeafe4cf72d454c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6fce004c47849c29ebd8d5d7c16e98.png)
您最近一年使用:0次
2023-12-07更新
|
1286次组卷
|
8卷引用:河南省部分名校2020-2021学年高一下学期期末考试数学试题
河南省部分名校2020-2021学年高一下学期期末考试数学试题(已下线)6.2.2 平面向量的共线定理、数量积(精练)-2021-2022学年高一数学一隅三反系列(人教A版2019必修第二册)新疆维吾尔自治区乌鲁木齐市第97中学2024届高三上学期12月月考数学试题6.2.4向量的数量积练习山东省临沂市兰陵县第一中学2024届高三上学期12月校际联考数学试题福建省龙岩市上杭县第一中学2024届高三上学期12月月考数学试题(已下线)专题02 平面向量的运算(八大考点)-【寒假自学课】(人教A版2019)江苏省镇江市句容高级中学2024届高三上学期12月学情调研数学试题
名校
解题方法
8 . 已知单位向量
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a310e71f78465dc51431270fba1997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab9447fce9ea3cb300fdf5f520fd6f78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a310e71f78465dc51431270fba1997.png)
您最近一年使用:0次
2023-02-16更新
|
1027次组卷
|
4卷引用:贵州省六盘水市2022-2023学年高二上学期期末教学质量监测数学试题
解题方法
9 . 设非零向量
,
的夹角为
.若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.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/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c485c24c8c9bb50063e959e8a11cdda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/163f0d756f3dc392b6ae1ae0cdc44d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
您最近一年使用:0次
10 . 已知
为椭圆
上一动点,点R满足
且
,则
的最大值是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d642358726f8f6e6860d60aba204bd59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e78f1a9cc4dedc05c175ab99b288b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2c25b80e29041b572638d2e05d0feae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b20ecd7c8dacccfe901aa2019f7005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de71d18cfc671252eaa9b8b839d0ccb.png)
您最近一年使用:0次
2023-04-10更新
|
158次组卷
|
2卷引用:宁夏吴忠市吴忠中学2022-2023学年高二下学期期末考试数学(文)试题