我国唐代著名的数学家僧一行在著作《大衍历》中给出了近似计算的“不等间距二次插值算法”,用数学语言可表述为:若
,
,
,则在闭区间
上函数
可近似表示为:
,其中
,
,
.已知函数
,
,分别取
,
,
,则用该算法得到
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68df36a31fd9be859a48c801e7c48437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caaa05810183b3a7a4d60758a1b75f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3782ac1516b5d35cd8606a982cee338a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eded1f338b5ce1481fc64b18602b623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c017471d0c3505bb36e66a530226362e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77c5ca48bd5d2d21c072ac1dc4ef2b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911b8e55c6b1de1d77920c1826d95744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbab62e7b344b7d5388bffc00b4650e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12959f65e9db83c446c35d3261a33171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de7248fde91ec6e6e7f60e81d0314ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df2a8a85d6b96e0248fc6a294e4cc36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b6ab454199d2738ea1b5cefb133d50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f9a120777a25f5614584ed1ff04de32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923dd774c4034b5d967ea36c9662fac2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2022-03-25 19:34:15
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相似题推荐
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解题方法
【推荐1】已知函数
,若
,则
的值可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad4eaa93bef98c3653c31297ee8dda7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a315f9266c68412db8cab8698e8b570.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
【推荐2】已知
,则
的值等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42dfcbc0e1fe0c61f73f92fb0f289845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/013b4fb82bcc442043d6e704cefa0927.png)
A.1 | B.2 | C.3 | D.-2 |
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解题方法
【推荐3】函数
的图象大致为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de92f70b83a70c553651b2dac4c91c3d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
【推荐1】如果函数
对于任意实数
,存在常数
,使该不等式
恒成立,就称函数
为有界泛函,下面有4个函数:①
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
③
④
,其中有两个属于有界泛函,它们是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fb713528aacf792ad4511a78060cae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907e4ba6d5f2eea68442def1911957fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b23302abe8f41711386090860103ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca24790a1a92e9ceb376ce62df4e0e6.png)
A.①② | B.②④ | C.①③ | D.③④ |
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【推荐2】定义在
上的函数
,若存在
且
,使得
恒成立,则称
具有“
性质”.已知
是
上的增函数,且
恒成立;
是
上的减函数,且存在
,使得
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc447e38e268336b52e6f0a9b1a8bbd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9e959e105f1a075faecef327380e0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fcbe85fce04ca3aca840f161006e8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13747fa9a42164caebe2c9b7c5d06d3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fac20a089546608a077d115a65b4be6.png)
A.![]() ![]() ![]() |
B.![]() ![]() ![]() ![]() |
C.![]() ![]() ![]() ![]() |
D.![]() ![]() ![]() |
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