1 . 记
为函数
的
阶导数,
,若
存在,则称
阶可导.英国数学家泰勒发现:若
在
附近
阶可导,则可构造
(称其为
在
处的
次泰勒多项式)来逼近
在
附近的函数值.下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33cfe27fd2276a7c542f062c17b4d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1842ac8cd2d27c19a5b1593a966687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33cfe27fd2276a7c542f062c17b4d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff9f84126baf13c7f5787c360286ac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.![]() ![]() ![]() |
D.![]() |
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名校
2 . 人们很早以前就开始探索高次方程的数值求解问题.牛顿(Issac Newton,1643—1727)在《流数法》一书中给出了牛顿法:用“作切线”的方法求方程的近似解.具体步骤如下:设r是函数
的一个零点,任意选取
作为r的初始近似值,过点
作曲线
的切线
,设
与x轴交点的横坐标为
,并称
为r的1次近似值;过点
作曲线
的切线
,设
与x轴交点的横坐标为
,称
为r的2次近似值.一般地,过点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/641fec779880f75fa8ee6782f3350402.png)
作曲线
的切线
,记
与x轴交点的横坐标为
,并称
为r的
次近似值.若
,取
作为r的初始近似值,则
的正根的二次近似值为______ .若
,
,设
,
,数列
的前n项积为
.若任意
,
恒成立,则整数
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/641fec779880f75fa8ee6782f3350402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be613fff0421d9be9e8bb5eb8b07c40f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a5b0f908cdae073db61be5b42fbcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a5b0f908cdae073db61be5b42fbcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3002f56900c2924bfd79fc3865b0a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3002f56900c2924bfd79fc3865b0a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e9eb2c259d27740f0ebb428444a0605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c5603d29560e66b2293cea1e3b02289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a4904f7e2788a2bef38adc610bea58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60302649eb940748da818199e55da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9900e4fc6114bfe2106d2a87c23cdb66.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2022-11-18更新
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645次组卷
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4卷引用:山西省大同市2023届高三上学期第二次学情调研数学试题
山西省大同市2023届高三上学期第二次学情调研数学试题(已下线)第三篇 以学科融合为新情景情境3 与教材阅读材料融合(已下线)【一题多变】零点估计 牛顿切线辽宁省沈阳第二中学2024届高三第四次模拟考试数学试卷
名校
3 . 声音是物体振动产生的声波,其中包含着正弦函数.纯音的数学模型是函数y=Asin ωt,我们听到的声音是由纯音合成的,称之为复合音.若一个复合音的数学模型是函数f(x)=sin x+
sin 2x,则下列结论正确的是________ .(填序号)
①2π是f(x)的一个周期;
②f(x)在[0,2π]上有3个零点;
③f(x)的最大值为
;
④f(x)在
上是增函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
①2π是f(x)的一个周期;
②f(x)在[0,2π]上有3个零点;
③f(x)的最大值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca820a456491348e72587e4fe10bc6.png)
④f(x)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d99331d7767c632f6f86184a1b810602.png)
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6卷引用:山西省怀仁市第一中学校2021届高三下学期一模理科数学试题
山西省怀仁市第一中学校2021届高三下学期一模理科数学试题山西省祁县中学2021届高三下学期3月月考数学(文)试题山西省祁县中学2021届高三下学期3月月考数学(理)试题(已下线)数学与音乐(已下线)第十章 导数与数学文化 微点3 导数与数学文化(三)(已下线)【讲】专题8 三角函数中的新定义、数学文化问题