1 . 数列
满足
.前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc625e19e7ca2b9d097f67a3d472e47.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a4f3c8c19eea149d50f4ab21eb3288e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc625e19e7ca2b9d097f67a3d472e47.png)
您最近一年使用:0次
2024-04-13更新
|
203次组卷
|
2卷引用:第九届高一试题(B卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
解题方法
2 . 设
满足不等式组
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e647c14561826ba9e396acc5a3792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42727d39ce9521100f414156b0cb904d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd57fd1f8df7fea5dea8c462622ce23f.png)
您最近一年使用:0次
名校
解题方法
3 . 定义在
上的三个函数
,其零点分别为
,则它们的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01dc2d99655cf7598837cb0886166ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01e71e933684cdf53c34b37d7eaad1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-04-12更新
|
265次组卷
|
2卷引用:第十届高一试题(A卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
解题方法
4 . 已知函数
,若
互不相等,且
,则
的取值范围是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa67d265b955eed74e30aae8520aa998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6637110325fc5bcb6337762aecf53d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae24688d4c45aad43e9af0b7bbfda6b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 已知
满足
,
,点
是
所在平面内的一点,满足
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a27dc396251a4453094d19baa79816.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/368fc197b61e01fe6a4a168bb7b375cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c49ac438951fdcb9ad5f065a24e7ef3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65172f1206e4deb8f9f67712d2ef157c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0725a53b8f98dac7e94fb0e776c55fb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a27dc396251a4453094d19baa79816.png)
您最近一年使用:0次
6 . 已知
,若
恒成立,则
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4eddd4bf7c7da8178842689540c4371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/875b562efc07c3be8b6a9fe8aab1c6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
解题方法
7 . 桌面上两两相切地摆放着四个球,球心依次为点
,且半径相同的球与桌面相切,记它们的半径分别为
.已知
,则最上面一个球离桌面的距离![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2218a80f8c5c7880090aafb28c760a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0b965595229c2fcbcd50541ea8569e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bce3d5ea2a2e7eb1aeae4bac5346332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
您最近一年使用:0次
解题方法
8 . 一个机器零件的三视图如图所示(单位:
),该零件的表面积为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ce13774b09ff2edddaf21a072cf60a.png)
您最近一年使用:0次
解题方法
9 . 如图,在
中,AB边上有一点
,点
是线段AB的三等分点,点
为线段DC上的一点(不与点D、C重合),若分
所成的比为
,连接AM,且有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6d728b430549f00bb9c0a7bf8bf7d.png)
.
来分别表示
;
(2)假设函数
,存在数列
,首项
,当
时,对前
项和
有
成立,求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c085dbb9d78aef7d81c3f4d6855f067b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6d728b430549f00bb9c0a7bf8bf7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb21c93a67900cb3f53370778737e9ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e647c14561826ba9e396acc5a3792c.png)
(2)假设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be1e04bececc665e7253c524deb9bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5ae2b385f9e759d3316764878dfa99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
您最近一年使用:0次
解题方法
10 . 如图,在
中,点
分
所成的比为
,点
为线段
上一动点,若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8beae8ecddf47f21db9c71e8d679d79f.png)
您最近一年使用:0次