1 . 已知向量
,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6298cccc4304b1988682c71f539f5c.png)
(1)若
,求
的值.
(2)是否存在实数
,使方程
有四个不同的解?若存在,求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0619985c616f370844f55d32163ae556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6298cccc4304b1988682c71f539f5c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65f8e4debfb6aa241a787da106c359f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076ce8a03ba63cc857267272d07c4842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2013·福建·一模
2 . 已知
为坐标原点,对于函数
,称向量
为函数
的伴随向量,同时称函数
为向量
的伴随函数.
(Ⅰ)设函数
,试求
的伴随向量
的模;
(Ⅱ)记
的伴随函数为
,求使得关于
的方程
在
内恒有两个不相等实数解的实数的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c6f29b2b1955715616003d51d8b77f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc7a9d4d6bf771fdd7c2cb26d3857316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/716c8814c6e33b4f44d18a9139d6c8f1.png)
(Ⅰ)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad0aaae84649c4ed20c9fe98cfef4c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/716c8814c6e33b4f44d18a9139d6c8f1.png)
(Ⅱ)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40d098fdf3d36c2b7e23a3539cd2f434.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc17d3cfcbe2ca45c60dd3e3e9594a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f8a69569c596846cfe8b2e9ec14be2.png)
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名校
3 . 已知向量
,
,且
.
(1)求
及
;
(2)若
的最大值等于
,求
值及
取得最大值
时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8642c8f52b159c980cdbdbeb74a580e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46afb7b089b24c8ed8260f15f4df7f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff97997269041050969c704a9f1c6f1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85037a7822cd9642d0c08ca29d61b259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb6753f494dbcbc843644eaaac6c17d4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab5d13147775cdd9855a046dad0c14bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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