解题方法
1 . 如果![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e75cb7615ca33b128496114742a1f2dd.png)
(1)求证:
;
(2)若
为三角形的三个内角,判断
与
的大小关系,并予以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e75cb7615ca33b128496114742a1f2dd.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e10e76a8cf6e3eb92e57ee971a218a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e263f0291e3df8b6fb866abaf3f4576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbeb449ec91ac7e5798e3b347fd0d107.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a25e473dce119ddd92f32fef1dc576.png)
您最近一年使用:0次
2 . 已知对任意正整数n,都存在n次多项式函数
,使得
对一切
恒成立.例如“
,
”
(1)求
;
(2)求证:当n为偶数时,不存在函数
使得
对一切
恒成立;
(3)求证:当n为奇数时,存在多项式函数
使得
对一切
恒成立,并求其最高次项系数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2425552313d50a253bfb3cb4e9974ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7357edad3861daeb9328b2a8c1fd547a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a053a389d6b77ca56c114336783799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68babd0b5e06e74642d647a9b3c5e5e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2683001d33c4b5bee8330e605cea939.png)
(2)求证:当n为偶数时,不存在函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6f0a55fa53bf5f8e6654897975bcf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b43cecaa5d4347185bb50ebb36750736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(3)求证:当n为奇数时,存在多项式函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c5952c5b7806d45db61d1abf572d9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07694fbfb14f7a61d2cd1bc86a1f9eef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
您最近一年使用:0次
解题方法
3 . 由两角和差公式我们得到倍角公式
,实际上
也可以表示为
的三次多项式.
(1)试用
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b290860352dfc9a9a1e3aaf0017516f.png)
(2)求
的值![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(3)已知方程
在
上有三个根,记为
,
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e13ede7ea3fce049c55b27d172e9d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e466065b109bba091d8147c017aa82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb49947eb370e18720a191b18796c6f.png)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb49947eb370e18720a191b18796c6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b290860352dfc9a9a1e3aaf0017516f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8213c45c258517e2236509a4c3e7e81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(3)已知方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be47ef0a7117db22135a88605ca9fe26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96214533fc29c69da9d6a0f92080f04b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040135d64192de075ba0cc9f11ddbc9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa33c2bd791339d32821077846605d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea68e3e47a094d30bcda211741da5d77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7765c559af2ed5a09bf6ab6a6bc5ea87.png)
您最近一年使用:0次
2022-09-25更新
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1737次组卷
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4卷引用:江苏省南通市海门区2021-2022学年高一下学期期末数学试题
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