1 . 已知函数
有两个零点
,则可设
,由
,所以
,
,这就是一元二次方程根与系数的关系,也称韦达定理,设多项式函数
,根据代数基本定理可知方程
有
个根
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38a748661547c23dc5bb7727157a272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cce519ecad53af16de6b8fa9434110e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05dd02b6f561dcf94bab8a3160108d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897630dd340ec6c6b20cdd754d0a12c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3bdb2ad96ef43cf5e427d7a2d9fafe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83590c4a7ea5636843dd4b60c67cb40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a0a7f3b30ea5e3955d435792fa71698.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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真题
名校
2 . 对于任意的两个实数对
和
,规定
当且仅当
,
;运算“
”为:
,
运算“
”为:
,
设
,若
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ef2fc33015942616740bdfb4336783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b807b9b8da58da1b6778865efccb01b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa48d05e6ec9c1c3284f27ef039e432a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759b29a7b2b3735306f1a650355a7858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc330a9671536bc46fa244b4ceebcf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5354e2fbc104a5ecf95e07b3f05f3d48.png)
运算“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7dcc838fd3ee0c638567c5eb24b9490.png)
设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d6024fd3d71da587d8df3a0c28e7840.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/593309f5664470ef6738fe9991c53f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ef2fc33015942616740bdfb4336783.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-05-07更新
|
887次组卷
|
10卷引用:湖北名师联盟2019-2020学年高一上学期期末备考精编金卷数学试题(A卷)
湖北名师联盟2019-2020学年高一上学期期末备考精编金卷数学试题(A卷)广东省珠海市2018-2019学年高二(下)期末学业质量监测数学(文)试题河北省保定市第三中学2020-2021学年高二下学期期末数学试题陕西省宝鸡市千阳中学2019-2020学年高二下学期期末理科数学试题(已下线)5.2函数的表示方法(备作业)-【上好课】2021-2022学年高一数学同步备课系列(苏教版2019必修第一册)【市级联考】福建省福州市2018-2019学年高二下学期期中考试数学(文科)试题江西省上饶市横峰中学、弋阳一中、铅山一中2020-2021学年高二(直升班)上学期期中考试数学试题山西省临汾市古县第一中学2020-2021学年高二下学期期中数学(文)试题2006年普通高等学校招生考试数学试题(广东卷)(已下线)第一篇 代数与近世代数 专题2 群、环、域等新定义问题 微点1 群、环、域等新定义问题
3 . 英国数学家布鲁克泰勒(Taylor Brook,1685~1731)建立了如下正、余弦公式( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7981f9342a02477289df68f65a7b0a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c868fcf317426476af632cac3c028629.png)
其中
,
,例如:
.试用上述公式估计
的近似值为(精确到0.01)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7981f9342a02477289df68f65a7b0a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c868fcf317426476af632cac3c028629.png)
其中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a24857a6c3fc19603b68fec36199c79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80c875ad8fafc41d5c82baf23bb5e4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b2220f29c3762b408c500750ec0f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474f556af17bfb2e9ba2e32c0fc7f1ea.png)
A.0.99 | B.0.98 | C.0.97 ![]() | D.0.96 |
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2019-09-12更新
|
690次组卷
|
4卷引用:广东省深圳市2018-2019学年高一下学期期末考试数学试题1
4 . 我国古代数学名著《九章算术》的论割圆术中有“割之弥细,所失弥少,割之又割,以至于不可割,则与圆周合体而无所失矣.”它体现了一种无限与有限的转化过程.比如在表达式
中“...”即代表无数次重复,但原式却是个定值,它可以通过方程
求得
.类比上述过程,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fdf504a4f533b0d3990832daae0b860.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81e79197bce5d1859fcbfeadd6218f3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6977b6bb77c43822da13161ab1e674bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e3a9c7590825bfeeff83359c2513346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fdf504a4f533b0d3990832daae0b860.png)
您最近一年使用:0次
5 . 定义两个运算:
,
.若
,
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ce8747e75c22cb2f833e1391591ac3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6cc98a4096496037f3a4ca407e3203e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd25d74104e165676d81a15814576bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff1c4f4dbe06b26fa5dbee3f3dde3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a8fe6fef7166fa32991f562e6dc6798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
A.6 | B.7 | C.8 | D.9 |
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6 . 对正整数
定义一种新运算“*”,它满足:①
;②
,则
=_________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56bc3de174b8c78889f209943addcc5c.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aa20b455ebe54ef6171ff24b66d9963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a2cea296784a5eb242e62181535d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8c7ef71bfb4e9c24baf866f9f099c38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56bc3de174b8c78889f209943addcc5c.png)
您最近一年使用:0次
2016-12-04更新
|
351次组卷
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2卷引用:2015-2016学年浙江宁波市九校高一下学期期末数学试卷