名校
1 . 若集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b016701d44637cc6ac2820a995b7af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b8efd8c6d3a29b2df667ca85773522f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
2 . 函数
在
上的值域为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12959f65e9db83c446c35d3261a33171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d61eb7538ea6e9c31ba1baf56b64422.png)
您最近一年使用:0次
2024高三下·北京·专题练习
解题方法
3 . 定义在实数集上的函数
称为狄利克雷函数.该函数由
世纪德国数学家狄利克雷提出,在高等数学的研究中应用广泛.下列有关狄利克雷函数
的说法中正确的是_______
①
的值域为
②
是偶函数
③存在无理数
,使
④对任意有理数
,有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69209dfbbe6ffdbab1b599e65b9c78e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be7581dbbccda50e5d5cd18056ddea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8238fba9b391d01ceb071e78ee221035.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8238fba9b391d01ceb071e78ee221035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b2be1b0b6bea70d4e64894f1009359.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8238fba9b391d01ceb071e78ee221035.png)
③存在无理数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d9fd58e71dcae6cafaf9037d20ebd76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f506945deb69ef0dbc2d0912458209d4.png)
④对任意有理数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638c146c361a04a3d569a7a154f528c0.png)
您最近一年使用:0次
名校
解题方法
4 . 如图,函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e013ed0c3dec15d5f4f89cfd2609ace0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
您最近一年使用:0次
2024高三·北京·专题练习
5 . 在
中,
,
,D为BC上一点,AD为
的平分线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f63d194aa0d4091618b6f41f569ee2.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca560139b20f2cf2d94530935551f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f63d194aa0d4091618b6f41f569ee2.png)
您最近一年使用:0次
6 . 假设甲和乙刚开始的“日能力值”相同,之后甲通过学习,“日能力值”都在前一天的基础上进步2%,而乙疏于学习,“日能力值”都在前一天的基础上退步1%.那么,大约需要经过( )天,甲的“日能力值”是乙的20倍(参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a216349a78aa4c5326c98266031cad9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27d852f0d11bf042115a268d7452d51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282724a3b2b45f1966a91389fdcedfcf.png)
A.23 | B.100 | C.150 | D.232 |
您最近一年使用:0次
7 . 已知向量
.
(1)求
的坐标及
;
(2)若向量
,且向量
与
平行,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/327d852a3ce1fb310e21017f9ef66526.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d108e523626be0b40be9b3543ce12524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc5211978b109b9899c1b9d3cb65ff6d.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602389d835b3e55c13ee1eac6cc17173.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2603af94370b84b7472065a4787eea23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
8 . 在复平面内,复数
满足
,则
的虚部为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a4239ff9f85108402ee554ca6c87751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.![]() | B.![]() |
C.3 | D.![]() |
您最近一年使用:0次
9 .
的展开式中常数项为________ (用数字作答)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1995587ddbd22fca4e6f3ff57312525.png)
您最近一年使用:0次
名校
解题方法
10 . 在
中,
,
, 且
, 则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ba38822c95ef670c535eb5c76ddfa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a9d11c1fdda8f3bb2ef921bc75f816.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-29更新
|
1519次组卷
|
3卷引用:数学(北京卷02)