设a,b是实数,定义一种新运算:
.下面有四个推断:
①
,②
,③
,④
,
其中所有正确推断的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1b4131311cc9b4e5c36ad41d7abfcc.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbc5d30effc2bb745c3084f33647fa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24923860471bfcb15e8e946d68d22cfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1dc40418260c125299fdfb4b2efbb0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42701869bb52f79e110197bf5f1bd68e.png)
其中所有正确推断的序号是( )
A.①②③④ | B.①③④ | C.①③ | D.①② |
更新时间:2023-02-03 20:32:56
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【推荐1】定义一种关于整数n的“F”运算:(1)当n时奇数时,结果为
;(2)当n是偶数时,结果是
(其中k是使
是奇数的正整数),并且运算重复进行.例如:取
,第一次经F运算是29,第二次经F运算是92,第三次经F运算是23,第四次经F运算是74…;若
,则第449次运算结果是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c5563bd9c042ceda9c93dc50273a12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab323034fa0a2c295456974973a1d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab323034fa0a2c295456974973a1d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4432e2647253558ab703d30339467e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7715b47f6a78b0eb52ece94134bddf30.png)
A.1 | B.2 | C.7 | D.8 |
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【推荐2】定义:
若函数
,则该函数的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b5166cd9fd2bad6452dfac5221366f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f246092a6ac4c752ded100d75b3087e.png)
A.0 | B.2 | C.3 | D.4 |
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【推荐1】对整式
进行如下操作:将
与另一个整式
相加, 使得
与
的和等于
, 表示为
, 称为第一次操作; 将第一次操作的结果
与另一个整式
相减,使得
与
的差等于
, 表示为
, 称为第二次操作; 将第二次的操作结果
与另一个整式
相加,使得
与
的和等于
, 表示为
, 称为第三次操作;将第三次操作的结果
与另一个整式
相减, 使得
与
的差等于
, 表示为
, 称为第四次操作, 以此类推, 下列四种说法:
①
;②
;③
;④当
为奇数时, 第
次操作结果
; 当
为偶数时,第
次操作结果
: 四个结论中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8cc0b4997cae4d8aec791a1d3923314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8cc0b4997cae4d8aec791a1d3923314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8cc0b4997cae4d8aec791a1d3923314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc997a4317a3b64369178b27abc44b95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6153cb7c462f440ccc271f50f7ba9cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ab1256702aef4e9f1a5eb6c12ecc96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ab1256702aef4e9f1a5eb6c12ecc96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ad82fa37dff30a4c54465ff7ef9f7ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0e456126f25630e239b21bff4a25dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbd67f60f04c278bdd867fdb3979dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbd67f60f04c278bdd867fdb3979dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c631ac48cc673f81c92de3d49a1221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5ebfe60264270259f35a9a9a4decf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a34aea9f11eb0421ff2b6b576a4823d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a34aea9f11eb0421ff2b6b576a4823d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d0dfec2ae967a065c928f9b28b3775a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751926b4e4dd87ba9dbb319473af7b92.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c42061fae9bd1ecafad8c19ad0dadc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c0cde785f1938227c26cebddb1cb16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dbb508b16b8c4c7eff65a9e416da17e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a05b14d61cc03d916e60f23068ca979f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14420d7e15327466ad1c138b963271de.png)
A.1 个 | B.2 个 |
C.3 个 | D.4 个 |
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【推荐2】已知多项式
和
(m,n为常数),以下结论中正确的是( )
①当
且
时,无论y取何值,都有
;
②当
时,
所得的结果中不含一次项;
③当
时,一定有
;
④若
且
,则
;
⑤若
,
且x,y为整数,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d189d52be8cdee077bba32d9793fbc06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c71f02805c13c0332ffb37bf30d8d7f.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f371d431b6c91972b742c426c8a81ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a039f204ecf2a3beed1eee3bcfba3007.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c43f86ecb6bb6dfb3331b26d957d59d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df69c6a544f62a016490b012c353ae7.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b9d5aaaceaa3ac514d17fcfefbf9b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c7cb2bd6c82077a4839e23884ecbbb.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc5b4357fd97fc6a2328953fe45a294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662141a46198d8cfec22710d1933856f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b9d5aaaceaa3ac514d17fcfefbf9b4.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a4480988244a9d04ec293975db2cc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/017fca566eb4d28b8d2619a4ee41ed7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f2c4407483bc227256c02aeebd52156.png)
A.①②④ | B.①②⑤ | C.①④⑤ | D.③④⑤ |
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【推荐1】计算
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4bf8ab97009439c7417714260829fc.png)
A.5048 | B.50 | C.4950 | D.5050 |
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【推荐2】已知a1、a2、a3、an,… (n为正整数)满足an+1=
,则下列说法:
①a1a2a3=1;
②a5=a20;
③若a1=﹣
,则
=912m+586n;
④若a1=x,y=pa1a3﹣
(p为非零常数),当x的值取m2和2m﹣2时,y的值相同;
则p的最小值为﹣3;其中正确的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a18d380bae936120ed037b2a4b745a4.png)
①a1a2a3=1;
②a5=a20;
③若a1=﹣
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417873223a53ec8e678ffbbe2711308f.png)
④若a1=x,y=pa1a3﹣
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7df89f77e80acd725e9fd191779413d.png)
则p的最小值为﹣3;其中正确的个数为( )
A.1个 | B.2个 | C.3个 | D.4个 |
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