中国古代近似计算方法源远流长,早在八世纪,我国著名数学家、天文学家张隧(法号:一行)为编制《大衍历》发明了一种近似计算的方法——二次插值算法(又称一行算法,牛顿也创造了此算法,但是比我国张隧晚了上千年):对于函数
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b72158f961bc30b2330d1f11168164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc8ceb83b520132dc4a50813dde51398.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b76d716069f565a29faa783f0e4e57b.png)
,则在区间
上
可以用二次函数
来近似代替,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4caa4905c9733a11568f5195c15169c7.png)
,
,若令![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a801c13f9dc8737af78116eac9fd22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c95e0cd54e828dd364c3b83cc20c7b.png)
,请依据上述算法,估算
的近似值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b72158f961bc30b2330d1f11168164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc8ceb83b520132dc4a50813dde51398.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b76d716069f565a29faa783f0e4e57b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9be550578c3938ae1d299962296b71f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d194ab2d4fd8cd856007c17c367d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4caa4905c9733a11568f5195c15169c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cedc67d77e444017d596ba69210b95ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a23550c1159601edf12f7ff1df0dfab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a801c13f9dc8737af78116eac9fd22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c95e0cd54e828dd364c3b83cc20c7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdde84d975797ce51db2b57863ec4f53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42566364ccaae90587060e886bdbb0a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2020-03-13 15:59:33
|
【知识点】 函数新定义
相似题推荐
单选题
|
适中
(0.65)
名校
解题方法
【推荐1】记
,已知
,
均是定义在实数集R上的函数,设
,有下列两个命题:
①若函数
,
都是奇函数,则
也是奇函数;
②若函数
,
都是严格减函数,则
也是严格减函数.
则关于两个命题判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7140702aa2d68f888af95394ffb05471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6e9b16831fcd518c1a35449b025b66a.png)
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
则关于两个命题判断正确的是( )
A.①②都正确 | B.①正确②错误 |
C.①错误②正确 | D.①②都错误 |
您最近一年使用:0次
单选题
|
适中
(0.65)
【推荐2】已知集合M是由具有如下性质的函数
组成的集合:对于函数
,在定义域内存在两个变量
且
时有
.则下列函数①
;②
;③
;④
在集合M中的个数是
![](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/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b5300f2d0cdf34de189a6be1b518891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbe0e7f5083c55f0a5d99310b71c686c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6487f1f094c13e4fae415930d8570d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b26f55c7c29644dfe0277d3e2adf10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6201963fcdd54887f2af50518bd908a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1591baa93f9f197e4925fb08600e878.png)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次