名校
解题方法
1 . 对于函数
,若存在实数m,使得
为R上的奇函数,则称
是位差值为m的“位差奇函数”.
(1)若
是位差值为
的位差奇函数,求
的值;
(2)已知
,
,若存在
,使得
是位差值为m的“位差奇函数”.
①求实数t的取值范围;
②设直线
与函数
的图象分别交于A、B两点,直线
与函数
的图象分别交于C、D两点,若存在
,且
,使得
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c17e0d491e8b47b8900b309a81c372b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1032f84bd8fe83f23a9dae6919c8ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02a7601f24ed0d8ae8a4062fb3a59e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ea151fc48e89e6c3c3769153f889f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f19a4b83e5d255e407fcbbb457b0699e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①求实数t的取值范围;
②设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de4f3ec96e94a227af4c9625ae214f6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c17e0d491e8b47b8900b309a81c372b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de4f3ec96e94a227af4c9625ae214f6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a6c0fddb9074dfc96be03b4aa24d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdeb8cfadb41d94aaa1ba534aa040dcd.png)
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解题方法
2 . 设向量
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb11592a8871819f9045d311d420342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12b22a1ed003a21a35e379d9c815745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668f0254cf71230731ceb71bfc0e07a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.0 | C.6 | D.![]() |
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3 . 已知
,
.
(1)求
和
的值;
(2)若向量
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c956e042cad51d6180649e94347c415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f55b8836b41be612a52ca9caf97006.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f798a9af75a091a8be0b71f2038260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6369cd1db768436809404b1f3c4132c0.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a01fcbb3ddbc0fdd9969bb8b040b41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a40aced493d4f0cabb47969d057e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
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解题方法
4 . 已知
,且
,
(1)求实数
的值.
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae8e588364f28e37a013c9943231b3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f804528bc4c32cd8dd33668376f3b1e.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/986d1f7eb4776389f1bac84b40e60616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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解题方法
5 . 已知向量
,
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/993e9681181da32d59da5aa14daa853a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bafea1239cf295b70c767acba98d8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e304cf018473bb54edb166fcd6502b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
6 . 已知平面向量
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff6227ff51440f5add6ad7c6346a17b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826aa248dda88634b7a0e76b57028687.png)
A.![]() | B.![]() |
C.![]() | D.向量![]() ![]() ![]() |
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名校
解题方法
7 . 已知向量
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61df6db5f13202396a800df639732c9b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e139e7cec9ef14acedae556ebcd9fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0601da78869330b870d420dbebc674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2558ead24d56fb372fef95c10fddd3fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61df6db5f13202396a800df639732c9b.png)
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8 . 已知向量
,
.
(1)若
的夹角为锐角,求实数
的取值范围;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b4165b30eeea4d7b76a90d9989b11d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e07e1c40bc6572fa9b0cc70da8a1b2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6976a27fed93809d8428fbab345f9414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e8681ea75c4398864e1ded99e1ec48.png)
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|
229次组卷
|
2卷引用:安徽省蚌埠市皖北私立联考2023-2024学年高一下学期5月月考数学试题
名校
解题方法
9 . 已知一个平面内的三个向量
,
,
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9feedc68e0c2d1b0de51d28e61496e59.png)
(1)若向量
为单位向量,且与
共线,求向量
的坐标;
(2)若
,且
与
垂直,求向量
与
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bd18136e4e71e1e267bc9f8634b932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec82bd4e0fb7887e5999b8220f60b073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ecf646bc2e4cdd46fc5cc40d741dab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9feedc68e0c2d1b0de51d28e61496e59.png)
(1)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ecf646bc2e4cdd46fc5cc40d741dab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bd18136e4e71e1e267bc9f8634b932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ecf646bc2e4cdd46fc5cc40d741dab5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5404940e86fc3db18adcb5be78e2e276.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59feec0a253476e1baa7ac2d196da24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb1d6b61205267d523c5cab8ac68cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bd18136e4e71e1e267bc9f8634b932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec82bd4e0fb7887e5999b8220f60b073.png)
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7日内更新
|
401次组卷
|
2卷引用:吉林省通化市梅河口市第五中学2023-2024学年高一下学期6月月考数学试题
名校
解题方法
10 . 已知点
,
,
,
.
(1)设线段AB的中点是H,若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
________ ;
(2)已知
.若点Q的轨迹与直线
平行,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50edfb9ed0d50d6f35ad6a130208d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e717fc336c2b9c1617421b5b8a4ae6b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/656de1832d5046c5c0d242372ff48c08.png)
(1)设线段AB的中点是H,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/805e8f0e7b46332052b32f249b5df425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/469ef1bfbac0fa50e8d54110b27ba46f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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