名校
解题方法
1 . 设向量
,
,
.
(1)若
,求实数
的值;
(2)
在
方向上的数量投影与投影.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d171c0b75d097413232a4a5332d03e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9145fba90fd3338944898b5f089576ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42eb489849f5e2cf56f19cc0ef10ce90.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/319bc0b06a19332dcadd7dd2670f713e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
您最近一年使用:0次
名校
2 . 已知向量
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d33ee1f52775bf9ba66e0fdf0ecbb35.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda3f2bbb62d0e0abc140c174944aa89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8cb2c2e58a33604f6a06eb86284fb32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03481e6a73207be03fdbc1f8e9965b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d33ee1f52775bf9ba66e0fdf0ecbb35.png)
您最近一年使用:0次
2022-11-01更新
|
663次组卷
|
12卷引用:上海奉贤区致远高级中学2023届高三上学期期中数学试题
上海奉贤区致远高级中学2023届高三上学期期中数学试题江西省九江市2022届高三第一次高考模拟统一考试数学(理)试题江西省九江市2022届高三第一次高考模拟统一考试数学(文)试题四川省成都市第七中学2021-2022学年高三下学期二诊模拟考试数学(文)试题四川省成都市石室中学2022届高三专家联测卷(五)数学(文)试题江西省宜春市丰城中学2023届高三上学期期中考试数学(理)试题四川省绵阳南山中学2022-2023学年高三上学期11月月考理科数学试题江西省宜春市铜鼓中学2021-2022学年高二下学期第一次月考实验班数学(理)试题江西省金溪县第一中学2022-2023学年高二上学期开学考试数学试题四川省仁寿县铧强中学2023届高三三模文科数学试题四川省仁寿县铧强中学2023届高三三模数学(理)试题四川省绵阳市江油市太白中学2024届高三上学期12月月考数学(理)试题
解题方法
3 . 已知
,
,若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30800bcb030cf5ee97d0e21fbbe8c368.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9145260527324ee0fab2daca0ebd7087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6560deb29b2776aa5231921f6ddc7503.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30800bcb030cf5ee97d0e21fbbe8c368.png)
您最近一年使用:0次
2022·上海浦东新·模拟预测
名校
解题方法
4 . 已知
,函数
的图象为曲线
.
、
是
上的两点,
在第一象限,
在第二象限.设点
、
.
(1)若
到
和到直线
的距离相等,求
的值;
(2)已知
,证明:
为定值,并求出此定值(用
表示);
(3)设
,且直线
、
的斜率之和为
.求原点
到直线
距离的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6eb8e22b38b1a1f2f4550bc8633bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.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/4bcd8ee2d8367c167d6ae0abc741b6b8.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/7ae4f082771efb99874041fe9c32aa81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f02e22b0fc087bd2cbb96ec3483b58e8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e1023c4d2941e4753560787b7a9851.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ace585d3cc2e113a0927cdf9e56756a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7acff98078cdd32804d8f1c4efbe2ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
名校
解题方法
5 . 设
,
,且
,
均为非零向量,则“
”是“
”的( )条件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fba056a8ce034c16e3570f4331d5b14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/def9b8072332dabaaaaac4909cffaf16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196a5ab5b2a6d41c33c368b76ca8d7c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394518f518e8eee4c6370fdfe90e71b7.png)
A.充分非必要 | B.必要非充分 | C.充要 | D.既非充分又非必要 |
您最近一年使用:0次
2022-06-23更新
|
670次组卷
|
7卷引用:上海市静安区2022届高考二模数学试题
名校
6 . 已知向量
.
(1)若
,求
的值(如果不是特殊角,请用反三角表示);
(2)记
,求
的最大值和最小值以及对应的
的值(如果不是特殊角,请用反三角表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c3ab84ff3a632eb1b6d3c443ea1079b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721861f20323fcfcd909df305546a3d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7b2150ed88d3ffdec3d142617eacf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
解题方法
7 . 已知
,
(1)设
,求函数
的解析式及最大值;
(2)设△ABC的三个内角A、B、C的对边分别为a、b、c,当
时,
,且
,求△ABC的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a1b5f34a1d516d6916dad71b271ce88.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26c2087e3a2711f42846403839c200e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)设△ABC的三个内角A、B、C的对边分别为a、b、c,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dadfd5e0495edcfbd6858e7b1fe95c07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45441f8370a83c013a87e0d97a66e95f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f002f960ec07ea229ed243e2d991d83.png)
您最近一年使用:0次
2021-12-20更新
|
825次组卷
|
5卷引用:上海市闵行区2022届高三上学期一模数学试题
解题方法
8 . 已知椭圆
(
)的焦点
、
,抛物线
的焦点为
,若
,若
恒成立,则
的取值范围为__________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dae6629e0dbf18af625cb804874afb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.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/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e12f911fa7622bd1a73cf2acc0bc87a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d440246c3fd05c4f8669bdcc57d7e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
您最近一年使用:0次
名校
9 . 已知向量
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c02b53459eb0dbf71879b063cd75fb.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41c46212d6f61fca9ce215a477ea1d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5de571daa349850dbc7fc98b7b990a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d76ee2e81f447f84a3e0b39c0388ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c02b53459eb0dbf71879b063cd75fb.png)
您最近一年使用:0次
2021-05-29更新
|
776次组卷
|
8卷引用:考向10 三角恒等变换-备战2022年高考数学一轮复习考点微专题(上海专用)
(已下线)考向10 三角恒等变换-备战2022年高考数学一轮复习考点微专题(上海专用)上海市2022届高三模拟(三)数学试题上海市位育中学2021届高三三模数学试题(已下线)模块综合练01 平面向量-2022年高考数学(理)一轮复习小题多维练(全国通用)(已下线)第11讲 平面向量-4(已下线)第三章 三角恒等变换【专项训练】-2020-2021学年高一数学下学期期末专项复习(人教A版必修4)四川省内江市威远中学校2020-2021学年高一下学期6月月考数学(理)试题四川省内江市威远中学校2020-2021学年高一下学期6月月考数学(文)试题
解题方法
10 . 已知
,
,若
∥
,则
=_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b459efabc2b965f455cf6108c775ab3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83f2931841d411a89309efef179d22d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次