名校
解题方法
1 . 已知定义在R上的函数
满足
,
,
,且当
时,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e264b11a47db447a7a0a19f2c3b8900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb00fdf681e3ea2f61abbe7b33a639a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87efe223ba836313af9b050966352fd4.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2024-04-11更新
|
433次组卷
|
4卷引用:2022年浙江省温州市摇篮杯高一数学竞赛试题
2 . 已知
,求最大的实数
,使得对任意大于2022的正整数
及实数
,存在集合
的一个子集
满足
对所有
恒成立且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3c5cb4d381a7d02ed31e3d92ce4306e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6c6971463b9839ecc1c2352ae0afb7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0478ec4c7dcce9fa624789a6223eb53d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44c4dce884147e801b50675b9c0714e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e64c35495f9f68ad197ba30902915c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d81314852212a08f2e6d36338d0368a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0a9f3aaedf6f256f10159eaf262a5b.png)
您最近一年使用:0次
3 . 设
为整数,数列
定义为
,
,且对任意
都有
.试求所有的
,使得这个数列的每一项都是完全平方数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7bf0d4b73924e85ee5be8d6b170ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18aa1cccf2f341a7886ca7a22d63513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01fc0bf43fa7dcffcf1daebc1b0830c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97bccd30b914efbdf1bcedfb60d63b1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5575ee73675d9fb24280bb3d8d33361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0b397225aafbf5906a2b928c8f2947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab4717e4827480f0f6f4ded85e52eab.png)
您最近一年使用:0次
4 . 如图,在钝角
中,
为钝角.设
的外角平分线与
过B和过C的高线分别交于点E,F,点M在线段EC上使得
,点N在线段BF上,使得
.证明:E,F,M,N四点共圆.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21fa3492cd1ac2b3f9278d3fe4cd4fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21fa3492cd1ac2b3f9278d3fe4cd4fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cd09bf3d43769b015a0a8d5b34cdefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37595daefab7761a896f29f785d253d1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/9/bc6bb557-dd54-4bd6-8e9a-982625129d7d.png?resizew=217)
您最近一年使用:0次
5 . 设
为整数,
为实数.证明:存在整数
,使得对于任意实数
,均有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abefc7e7354cd2d17283c16c494ea879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5040ce82e687fd1a6f48442f36975523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821ce7a655e8b5fecb99e04313c700b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383f97bc1796c160ab600db7d85287ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e137ac7b96922341e43887e7f5fed30.png)
您最近一年使用:0次
6 . 在平面直角坐标系中,抛物线
:
的焦点为
,直线
交C于A,B两点,延长AF,BF分别交抛物线于M,N两点.令
,
,
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91356fe1338cd458e4b1761b36873145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b6a742dbacdab5aaa298007663dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91703f114468effe42cc90bfbcaccc94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cfc1cf121adab4cddcdd98415b3a3c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22b8cc74825d62042a387df3ca6542ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7faa87c58d6807e27193ab43be29e86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11d75bfbd8b05a5987d579f35b2969a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54fa605fe0907e944ec0f716cad93002.png)
您最近一年使用:0次
7 . 已知
,若
,
,
是函数
的零点且
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cadb751863093633424831bbd30bb39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b12a4eecd249473a831d0ee472470240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9565876bc50bceb63e5793c8c67a9032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ec13d0c7a2f811a742d7e89960c5fec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a31aaa7bcac98bcfc3591261792232d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8567c0348e755bc0542cac37f3522d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef98c71145edae104c6c03d8e91ab50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04127db1410188b8076c89b79dccfe0f.png)
您最近一年使用:0次
8 . 设正项等比数列
满足
,
.令
求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853eace02560e7f1490694276c29a856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057f84c7e6b5cfde2e11dd1926c50790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/412d3d040e4e67daad25aa085fc45e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783af6a1ae35709a95b4287409348310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da2db7e09d2b1dbfbcd02574dae25ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b143f8888579b22c2fe7e70516310a.png)
您最近一年使用:0次
9 . 设实数
,函数
.若存在实数
满足
,且
,则实数
的取值范围为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17753ced68ae325254eb3c7345d0663a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5e6414f6fd59ad6c89c35ae67cdd7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a21b80fe7b352e8fa33c4a299aa81f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad827715ddd2376a69bfc1ccd9d5c75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8761a5477e88c05a81403ce736612e9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
您最近一年使用:0次
名校
10 . 设平面向量
,
,
满足
,
,
,
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5196f84fd2a77d7ee14328cc26ab1ea.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524594bf0942ed86f56fc1eee120a81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c559d3aa4e5178683a408e5b7e7cbdde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5397753affa9833ade8daaba7748e3aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bb9e1b4f7ba936949195aa99d6159a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75cbb7c27eb8a2af305aa60c5fa2acb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45f0e123349c41a4804013241a518860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5196f84fd2a77d7ee14328cc26ab1ea.png)
您最近一年使用:0次
2022-10-19更新
|
556次组卷
|
3卷引用:2022年7月浙江省高中数学联赛全真模拟六校联考试题