解题方法
1 . 设
,
,
与
是某平面内的四个单位向量,其中
,
与
的夹角为
.对于这个平面内任意一个向量
,规定向量
经过一次“斜二测变换”得到向量
,设向量
,则向量
经过一次“斜二测变换”得到的向量
的模为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ccfda9afde4441cfd1d4df5fe9622d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5770837fe8c7fc7d53ce7f19414c94f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a3f5738c22b6b5b7f9b97151c13fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ccfda9afde4441cfd1d4df5fe9622d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5770837fe8c7fc7d53ce7f19414c94f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1cde7aace5b888a1a1c26fb911e2f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8df6d6a87e4c3f2ecf22dd0679ad756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0850a488b80fa2d748407fa15c94675c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5038606a058cf0a0e52d948942eec4dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95763e154888a080b3b96ff7fb3b39f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f77dea92dc5b32a89ca4f2cdd6f9d8f.png)
您最近一年使用:0次
解题方法
2 . 设
为常数,对任意
,不等式
恒成立的充要条件是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7737506c518640f0cea54cf38c634f2d.png)
您最近一年使用:0次
3 . 设
是定义在
上且周期为2的函数,在区间
上,
,其中
.若
,则函数
的对称中心为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e354f44c5841806fdc363073abdd052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f42688aad68e80c39097121f7a096f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fba64ec90d6532ff556660abfcfbcb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/917f1aae87a8ff8b86009ae40bbd4c89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5a80b6fac062f652652e9ad0603da65.png)
您最近一年使用:0次
4 . 设
,对所有的x均满足
的函数
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f419a3a31ada96b96bbae23eeb5c48f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f95425c7f376f1d63a3e8a16f207dcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 如果关于
的不等式
和
的解集分别为
和
,那么称这两个不等式为对偶不等式.如果不等式
与不等式
为对偶不等式,且
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96baee807c43e1a7b7feacf142813e8b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0527a896aec4a245945e5edee00deed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fee0af8e08d3f819c0cd66ce5b92459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4f47d366d983aa78f4337d90458026d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e00c4b2c5f8b74b54530406cf61ce3e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d28eab3b97cbeff2ff5527a0603ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96baee807c43e1a7b7feacf142813e8b.png)
您最近一年使用:0次
解题方法
6 . 设
,
,
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71342cb381e3ea133c1495804b7fa5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a2f866bc74c1367a4ae3981b7400ef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fdc5fe268818a6d411d12c2a17a0b6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eacde1c42151734fdc60f3001b590de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-14更新
|
107次组卷
|
2卷引用:第十三届高一试题(B卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
7 . 已知函数
,将
的图象向右平移
个单位得到函数
的图象,若对任意
,都有
成立,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a2e59382d2f4ced80e881229634370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/769587b371ea0b3d7fc9f65bf11baad9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.2 | D.3 |
您最近一年使用:0次
8 . 若
,函数
的最大值为0,最小值为
,求
与
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da075b356d79e8011b405b110c3071b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
解题方法
9 . 已知单位向量
,则函数
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976db62a864859d5659e17b7e1bc5687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5a7cac866891616317966e65427988.png)
您最近一年使用:0次
解题方法
10 . 设
,
,则
的值域为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd125782af991fb9405b82dbf43a132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71b41d009285d1b946ea7076659f4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
您最近一年使用:0次