名校
解题方法
1 . 若向量
的起点为同一点,证明这三个向量的终点在一条直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0799143f72eb87f8287043eaa816efdc.png)
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名校
解题方法
2 . 在
中,角
,
,
所对的边分别为
,
,
,且
.已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1073b32a86093f661316f5c24ce9ff7b.png)
.
(Ⅰ)求证:
,
,
成等差数列;
(Ⅱ)若
,
,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1073b32a86093f661316f5c24ce9ff7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700c31d790f2d96830ae602a978e89eb.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23725094c363fd158166a8698971694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ef10e175dc99ca0dc9e99a0be00cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2a39beea5adf5d07aea0424ca7a64f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaab0619213938b7f55769c7540abdf8.png)
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2020-05-13更新
|
620次组卷
|
2卷引用:2020届江西省九江市高三二模理科数学试题
解题方法
3 . 在
中,角
,
,
的对边分别为
,
,
.已知
.
(1)求证:
;
(2)若
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7812094ec0b468c3e2381658cd056f0.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28956ebf0ebd38adb583b9970f9f8c6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38f550e95b2950f91e8ec1798b94109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
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2012·江西南昌·一模
4 . 已知向量
,函数
(
).
(1)求函数f(x)(x∈R)的值域;
(2)当a=2时,若对任意的t∈R,函数y=f(x),
的图像与直线y=-1有且仅有两个不同的交点,试确定b的值(不必证明),并求函数y=f(x)的在[0,b]上单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c5c806e29e2c4241013239d46415f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f171dc4edb77b42756c3d7e76dd8ec1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2846d0a4765dd7f500956eac66e20b3a.png)
(1)求函数f(x)(x∈R)的值域;
(2)当a=2时,若对任意的t∈R,函数y=f(x),
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea79304f705e39c2076cbc62ae6fbc6.png)
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2011·江西抚州·一模
5 . 已知函数
,当
时,
取得极小值
.
(1)求
,
的值;
(2)设直线
,曲线
.若直线
与曲线
同时满足下列两个条件:
①直线
与曲线
相切且至少有两个切点;
②对任意
都有
.则称直线
为曲线
的“上夹线”.
试证明:直线
是曲线
的“上夹线”.
(3)记
,设
是方程
的实数根,若对于
定义域中任意的
、
,当
,且
时,问是否存在一个最小的正整数
,使得
恒成立,若存在请求出
的值;若不存在请说明理由.
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/6dd8fc8c9b87403c9f64c9309d0b371c.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/37592c97396f4ba2a4f214efcb6d2407.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/40adf81030654ac7bccef9369cf5abdd.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/38cceed70a0b49bc806bf4e5ca27ecca.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/6b4e125e68444455b9314efb53397414.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/780372e73edf425dbf6331dad42470ac.png)
(2)设直线
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/b7ace2bfc9a749f19592c8486fc55aca.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/2290fd0c0a114151aa054660b34b4ed0.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/5478083dda404b1d9985fed249924a9d.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/c0e0e1c7db974c8fb899dc7caf002e6c.png)
①直线
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/5478083dda404b1d9985fed249924a9d.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/c0e0e1c7db974c8fb899dc7caf002e6c.png)
②对任意
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/89441b3d8d404518825d4ba2801f670b.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/0c3ae168e1624e0e9f30d4bdad816f51.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/5478083dda404b1d9985fed249924a9d.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/c0e0e1c7db974c8fb899dc7caf002e6c.png)
试证明:直线
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/adeb39d00e354cef930dfee39198aa90.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/bf8fdce85f4a49fea2c7d997d7a1ddc3.png)
(3)记
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/9b0f1c2ac58840cc8a50a53f160b2d90.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/1509c1382f73464a85be1253dfcc60ba.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/7ebf129480ef42fb80f7e47b812d510c.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/86eac3662a5b408dbaf81fb887824f95.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/c59f9a36d539401290f6efd112f08723.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/d9a3ef10a41d4ad1839682f011052d03.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/4164a3339cf445ff85d6e3a077e6b2f7.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/34636fa0ff99403f95d85faebcf73418.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/baa406a5f25049cabf59193bbed346a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1839e00809091cacaf67540bcc15a679.png)
![](https://img.xkw.com/dksih/QBM/2011/5/27/1570224421036032/1570224426680320/STEM/baa406a5f25049cabf59193bbed346a3.png)
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