名校
1 . 已知双曲线过点
且与椭圆
有相同的焦点
,
(1)求双曲线的标准方程;
(2)若点
在双曲线上,且
,求
与
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d95ab554e5ba1078cd4d40425171d82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dce7445cd0f42c7f88dc3efcb72c7969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48932773034bb6e1651acf140d47822c.png)
(1)求双曲线的标准方程;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4aaec620c8025f9bfe921aae8a04bc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9795e5db34dcdc4d5af1eea3d433396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
2 . 已知
.
(1)若θ为
与
的夹角,求θ的值;
(2)若
与
垂直,求k的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35d1b19f22c5f7631e7ffb547d16530.png)
(1)若θ为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ffa3e1ce447d158f6084a66841307a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3143307ad0ba4a631eac04e814993655.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ffa3e1ce447d158f6084a66841307a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0035fcdc6a2dfb5836f4dc93dcaf9386.png)
您最近一年使用:0次
2023-12-13更新
|
594次组卷
|
7卷引用:新疆维吾尔自治区塔城市第三中学2022-2023学年高二下学期7月期末数学试题
新疆维吾尔自治区塔城市第三中学2022-2023学年高二下学期7月期末数学试题新疆维吾尔自治区2023年普通高中学业水平考试数学模拟试卷(二)(已下线)结业测试卷(范围:第六、七、八章)(基础篇)-【寒假预科讲义】(人教A版2019必修第二册)(已下线)第6.3.5讲 平面向量数量积的坐标表示-精讲精练宝典(已下线)9.2 向量运算2 -【帮课堂】(苏教版2019必修第二册)山东省菏泽市菏泽外国语学校2023-2024学年高一下学期第一次月考数学试题山东省菏泽市外国语学校2022-2023学年高一下学期第一次月考数学试题
名校
3 . 已知向量
、
的夹角为
.
(1)求
·
的值
(2)当
时,对于任意的
,证明,
和
都垂直.
![](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/4f97bd4f5d2592fb79bb95186975ec80.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd78a9d5631adb1f27c11ed4eb01a5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d670dcd0ce51abe372bc51a88ba1a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67a5673958e175b00200a75e645c73c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86bf189ad68ca83684c76d2bdd926980.png)
您最近一年使用:0次
2024-02-17更新
|
625次组卷
|
6卷引用:【名校面对面】2022-2023学年高二大联考(8月)数学试题
【名校面对面】2022-2023学年高二大联考(8月)数学试题(已下线)6.2.4向量的数量积【第二课】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)第六章 平面向量及其应用章末综合达标卷-同步精讲精练宝典河北省廊坊市文安县第一中学2023-2024学年高一下学期第一次集中练(3月月考)数学试题海南省乐东黎族自治县华东师范大学第二附属中学乐东黄流中学2023-2024学年高一下学期3月月考数学试题(已下线)2.5 从力的做功到向量的数量积6种常见考法归类(1)-【帮课堂】(北师大版2019必修第二册)
4 . 已知直线
的方程为
.求证:
(1)无论
取何值时,
都经过一个确定的点
;
(2)无论
取何值时,对于
上任意一点
,向量
均与向量
垂直.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e909a7bc31ef2f35e4be4d80d28698.png)
(1)无论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)无论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3722488cf68b05c22d3e6c0b4de6991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bbac9b04118d36bbffab6ded0c964fb.png)
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解题方法
5 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb099f4fc36b311fe47f91142075ed1.png)
(1)若
与
的夹角为
,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d50f797c8e7e36192a66848357d3d2c.png)
(2)若
+
与
垂直,求
与
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb099f4fc36b311fe47f91142075ed1.png)
(1)若
![](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/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d50f797c8e7e36192a66848357d3d2c.png)
(2)若
![](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/64c5562bd4d1b54424330cb6329cd79d.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
名校
解题方法
6 . 已知
,
,且
与
的夹角
,
(1)求
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
(2)若
与
垂直,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f96512f96698efe080f3d62c3084cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ec7096fee04d80cabd9e831a90fae6.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/92723ed3e62865396c01531eba603a88.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2b0627ff70b02aa16b007dc41794dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
7 . 已知平面向量
,
的夹角为
,且
,
.
(1)求
;
(2)若
与
垂直,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8febc305ff560626bdb55735a5085128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16d81d266f24698696a81ed5e007680.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88838b44f67d94e6ea3347a208b37ccc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff01c3e3b53271c5d16ad4e02a930ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解题方法
8 . 已知平面向量
,
的夹角为
,且
,
.
(1)
;
(2)求
;
(3)若
与
垂直,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231b861d6d1f1d0b9f52b041cb40eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6316d995f00623f05fc3d56a6cbe5f00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa8ea29001bb1f0c1e5157aff2fca5.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39d1d88189726ae99c309644fca3494.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ad31f4e349a176c04e2ce0e798474a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff01c3e3b53271c5d16ad4e02a930ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
9 . 已知平面向量
满足
,
,且
.
(1)求
在
方向上的投影向量;
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9883f16cdef5fb87fb9d6a9897d113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404067afb19bd74f447a6c0c832af1da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec2d4fc004e4bf82085e0c1b6e283fa.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cd880815001ddbe3a0722ad8821252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2023-07-28更新
|
436次组卷
|
3卷引用:山东省青岛第十五中学2023-2024学年高二上学期期初考试数学试题
山东省青岛第十五中学2023-2024学年高二上学期期初考试数学试题安徽省宣城市2022-2023学年高一下学期期末调研测试数学试卷(已下线)8.1.1-8.1.2 向量数量积的概念、向量数量积的运算律-【帮课堂】(人教B版2019必修第三册)
名校
解题方法
10 . 如图,在
中,
,点
是
的中点,设
,
表示
;
(2)如果
,
有什么位置关系?用向量方法证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc718b99fb52f53f988c91d8fc94dbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ba495e8f9fe02229a4248fdbfb4710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9ad7fa7ec798539ec313b0641c84fe.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43498074ba57261c0cf8b7125c0853a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d392690845f0d5731bfd924578b0492b.png)
您最近一年使用:0次
2023-07-16更新
|
356次组卷
|
6卷引用:四川省成都市成飞中学2023-2024学年高二上学期入学考试数学试题
四川省成都市成飞中学2023-2024学年高二上学期入学考试数学试题福建省漳州市2022-2023学年高一下学期期末教学质量检测数学试题(已下线)6.3.1 平面向量基本定理【第二练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)第06讲 6.3.1平面向量基本定理-【帮课堂】(人教A版2019必修第二册)(已下线)6.3.1 平面向量基本定理——课后作业(提升版)福建省福州第三中学2023-2024学年高一下学期4月期中数学试题