解题方法
1 . 求所有的
,使
对
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e93438d2a1d82963d4e81fd74cab18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
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2 . 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
|
207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
3 . 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
4 . 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)
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解题方法
5 . 已知点
,过点P向直线
:
和
:
作垂线,垂足分别为点M,N,则线段MN的长是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f40d5459e1385ab7d829ea96ca0b946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cc81cfaccc00aa4b7139de5a35a102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d532ce76942846df88c6f66112e50f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 在等比数列
中,已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36d4be137c1d24a5eb5b7ac6d774375.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5faf76fe3074b0725dab4e615bb507c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36d4be137c1d24a5eb5b7ac6d774375.png)
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7 . 把正整数按一定的规则排成如图所示的三角形数表,设
(
)是位于这个三角形数表中从上往下数第
行,从左往右数第
个数,如
.若
,则
与
的和为__________ .
1
2 4
3 5 7
6 8 10 12
9 11 13 15 17
14 16 18 20 22 24
……
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a14c188b1c9d61aa237b137ba18023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc0017117fab6f8e863c540552588e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43366cf92d2bbd350b6f2dcc9e14d712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2f9b53662f542a1c894c91b24a80cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
1
2 4
3 5 7
6 8 10 12
9 11 13 15 17
14 16 18 20 22 24
……
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8 . 已知在平面直角坐标系中有一个点列:
,
,…,
.若点
到点
的变化关系为
(
),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1326d7b4c0c3bf743a830b88c47d7565.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07208953e4ed5c5ff9713e829604f50f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa166b0618cc34d18b9c36d2cf106ea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af64997ae53eb6697e5c04ec368d5f66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6311acf03e6423b0450374682cb14d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f24bf37465feef73be23136e60285b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6faadd8c3d0501ff206e6aa5a643051d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1326d7b4c0c3bf743a830b88c47d7565.png)
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9 . 定义
表示实数
、
中较大的数.已知数列
满足
,
,
,若
,记数列
的前
项和为
,则
的值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3054ef0d5dc5823baf2d390bc2b6241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7815c6b825bbbb134ed7d9dd81d909f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f966272f7781790ff27e40db6b525253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76853e1b5ecff331be1b7cc28d85d2b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55fb7ab258e9bf3e4b213e28a5141ba8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/a3d5611c524c9abbcb4c9c1eb04a3791.png)
A.2014 | B.2015 | C.5235 | D.5325 |
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解题方法
10 . 已知等比数列
首项
,公比
,用
表示该数列前
项之积,则
中最小的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cec27946635ce99f0439621ce87e4317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb08ac8920645c616053c845978bdf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次