1 . 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
……
您最近一年使用:0次
2 . 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)
您最近一年使用:0次
3 . 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 |
您最近一年使用:0次
解题方法
4 . 已知函数
是
上的奇函数,且在区间
上单调递增,若
,
,
,则( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3cda656c1084d6b1c720b7483c2a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8275b1e89c98e9fb2f3b594c2ea9fa0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7299c923cf91eb19965eb13792a7b9cd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 已知函数
,
,
,
,集合
只含有一个元素,则实数
的取值范围是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e177f476112a090b450becec8ab7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851eae00e3369068e33a7e6420483883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6fcbb071cd7f0f8637c2818e92c1eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e62f1552fc8c1c2be6879ea24983772d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . 已知函数
满足下列条件:
(1)当
时,
,且
;
(2)当
时,
;
(3)在
上的最小值为0.
求最大的
,使得存在
,只要
,就有
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7620b8fd2fe76cdcfceee953e1492e90.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdd089822beae382e173954e7b2f5b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f028e597d34316db2c4c993fc72ff32d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff133c17652425c22f0b367e002797df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda178cf86d2baff95be7e655f020fc3.png)
(3)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
求最大的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884ce1e9436d39f34f6d3116cb2a140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf039c46a25e331446c6ee1e9af3c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08696f29924fad88f81c45c11149917c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfa5db87f46602bdba3df300ffe16b0a.png)
您最近一年使用:0次
解题方法
7 . 平面向量
,若存在整数
使
,且
,试求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22a4521f0658e021ad28318d8db27426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09737e117adb481fd3c4affdf38ff45f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/245d4ac7e6c91f3ea4028bdeb2fb1a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f92ffd4c85efa2d4a1692459a06cbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44bdb686910f213670f2c6f9e46c1f62.png)
您最近一年使用:0次
8 . 已知
,若
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a0a06e7b4c16d25801029ba90c887e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f0f24d1daf9447a4837e7886261c592.png)
您最近一年使用:0次
9 . 整数m,n满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705d0cd198f423d1a7d6b9a7999c18ee.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a24aa90aa2d2ad600a5fce8ea1a88dd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705d0cd198f423d1a7d6b9a7999c18ee.png)
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10 . 若向量
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8e23423ba05ff0072a71738caa5d65.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc9966321783e7f781767870ba5af2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8e23423ba05ff0072a71738caa5d65.png)
您最近一年使用:0次