解题方法
1 . 如图,在直三棱柱
中,
为
的中点,点
分别在棱
和棱
上,且
.
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9032b9800022c2f661217bbe4ee6d314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3648c864f9f58da1dbb166fee84cfeaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0ecf394142be16e4d62b450ef7f2b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383bc7dd1960c2892a37ec0a90119556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
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解题方法
2 . 已知单位向量
,
的夹角为
,
,
.
(1)求
;
(2)求
与
的夹角余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3453e44d1e3145ad1338cb0f9f78d9dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed4120beb5821a0b9d1a88bcbd041c68.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
(2)求
![](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
2024-06-04更新
|
236次组卷
|
2卷引用:甘肃省天水市2023-2024学年高一下学期5月期中数学试题
3 . 如图,在△ABC中,点D在边BC上,
.
,
,
,求AB的值;
(2)若△ABC是锐角三角形,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8cabcef1cee1213140371c499339864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807f767fd5d88c83d549ed0dd7bc617e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febe9c01e0d631f15587221010b4c678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267ace52b64e1e7dfc5211e033255b7d.png)
(2)若△ABC是锐角三角形,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4376af85e07b29051a812ff3fcda61a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5986e6980c15487e079ac3c715829b77.png)
您最近一年使用:0次
4 . 如图,在△ABC中,
,
,其中
,CP的延长线与AB交于点F.已知
,
,
.
,请用向量
,
表示向量
,并求
的值;
(2)若
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a64f1d0b5e4a6ebf4405b98a21a1ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23b8ba897a7bbf4a9c0c3d6f6ecd89f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2d2919e5bd26b5e9be672a3ff7604cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7ce899eaa74017eda8a8f3903c943e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0226b54b8c18c97505c9e2d8eeef2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1371fe98a65d8ebd840c8d98346b6d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1c3ea872a20fdc1843cb5ffce8a554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7239b3f2d88c2e45e17e5de9ae1a332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187634c24754b576ae8293665f45f89b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1795d8255d1235d98159322d4b0cda5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd0ae3147ba748cafdac6c00ae77c85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04af7d85462fc4f519090d5cbb8ae61.png)
您最近一年使用:0次
名校
解题方法
5 . 若函数
有2个零点,则m的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94dadacc20558af802e1f7a204b6d05.png)
您最近一年使用:0次
2024-06-01更新
|
572次组卷
|
2卷引用:甘肃省白银市2023-2024学年高一下学期5月阶段性检测数学试题
名校
解题方法
6 . 在
中,角A,B,C所对的边分别为a,b,c,向量
,
,且
.
(1)求角A的大小;
(2)已知
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ade00b2833800e79475db21c82405d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84dc933d61c3666c467905a32cfb52e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2558ead24d56fb372fef95c10fddd3fb.png)
(1)求角A的大小;
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41e6e7a547edddcaf55401bfa2de6fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50405194a09def425d582bba828ba94d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31048694d95bd83a31c7b7825410e0de.png)
您最近一年使用:0次
2024-05-23更新
|
732次组卷
|
2卷引用:甘肃省天水市2023-2024学年高一下学期5月期中数学试题
解题方法
7 . 已知向量
与
是非零向量,且满足
在
上的投影为
,
,则
与
的夹角余弦值为( )
![](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/3143307ad0ba4a631eac04e814993655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68f1ca48b024b9ea5dc5a2f708967dc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4c5090e792f2bc5057182bd97eb5508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 在棱长为2的正方体
中,E,F分别是棱
的中点,直线
与平面
交于点
.
;
(2)求
;
(3)若点
在棱BC上,且
平面
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b93fa937325f9d083ac2d059cae553c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cdc08e1c4a04a18d5ecea03393e36d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8035fc825a001d7d9a3dacd8271662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4474f00be9b97176f1867c22162521e1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200038dad137ce1b81983f5ee4c1739b.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72221ee5b504d596ff799c0b356aa0ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b0a582c36d62d83c16425b2f54b4354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
您最近一年使用:0次
名校
解题方法
9 . 在
中,角A,B,C所对的边分别为a,b,c,已知
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541b16fdc230c1bf727de73ba0aea2a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019eb94a6a2b38308811470d860e1a20.png)
A.若![]() ![]() | B.若![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2024-05-11更新
|
877次组卷
|
4卷引用:甘肃省天水市2023-2024学年高一下学期5月期中数学试题
甘肃省天水市2023-2024学年高一下学期5月期中数学试题江苏省宿迁市泗阳县实验高级中学2023-2024学年高一下学期第二次调研测试(5月)数学试题四川省南充市西充中学校2023-2024学年高一下学期5月月考数学试题(已下线)第1套 全真模拟卷 (中等)【高一期末复习全真模拟】
10 . 将函数
的图象上所有点的横坐标伸长到原来的2倍,纵坐标不变,得到函数
的图象.
(1)求
的解析式与最小正周期;
(2)若
,
,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325f9e2f7784ebdd64292e805884dfa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73387a4ccf38c8da46b698b2a8a98152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d394016b9fecac73f38cbc4ff18dee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146fc0a63e5c14a8fa46573e60c07ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b986672a23ad322d79e9e18c5d3bc0c.png)
您最近一年使用:0次
2024-05-11更新
|
182次组卷
|
2卷引用:甘肃省白银市2023-2024学年高一下学期5月阶段性检测数学试题