2024高三下·全国·专题练习
解题方法
1 . 已知等差数列
的前n项和为
,且
,
,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa69dde104dcf963e67647e801e0149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae238a91290e7869021eeec084c4187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3cf6f2bbe20a404fea41a4d2b1c4c7.png)
A.50 | B.40 | C.30 | D.25 |
您最近一年使用:0次
2024·全国·模拟预测
解题方法
2 . 已知等差数列
的前n项和为
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9efeb4455e30293d412938eeea85d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deea9fa78ced5922062707f4cd60f1f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d200f58e20f00b57ed0e8b33f0019a5.png)
A.12 | B.10 | C.9 | D.6 |
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3 . 函数
是取整函数,也被称为高斯函数,其中
表示不超过x的最大整数,例如:
,
.若在
的定义域内,均满足在区间
上,
是一个常数,则称
为
的取整数列,称
为
的区间数列,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7179c645736d68c90023f83d7f11ed01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892c88c46b9def91f36065cc19aa77e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba5e494c2c83e3ddccaeb9db064d97b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ead8adc62bd126ed2e1f7774c71259b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c548045998cac1decf7b9c3d21482792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
4 . 在等腰直角三角形ABC中,
,
,以AB为斜边作等腰直角三角形
,再以
为斜边作等腰直角三角形
,依次类推,记
的面积为
,依次所得三角形的面积分别为
,
……若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa2f33a32faed385f1e8ccc04770859b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d42e97eee705d164e6ac6de9ecd6d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac2f9b7fffbf6719a034f4e299688b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3e78e7ae0a1e5dd84650c595fd4e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29693d79947a46f15c9ca272fd55cbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.2 | B.![]() | C.3 | D.4 |
您最近一年使用:0次
解题方法
5 . 已知数列
的前n项和为
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.若数列![]() ![]() |
B.若数列![]() ![]() |
C.若数列![]() ![]() |
D.若数列![]() ![]() |
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6 . 记
为等差数列
的前
项和,已知
,则使得
的
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4304269ed45ec06acf2b0b11d89b11ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e960270b410c9810aea877029798be7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024·全国·模拟预测
解题方法
7 . 已知等比数列
满足
,则
有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f3cce517159ca57487980bd12f616ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/540dd7b7bc59898ad06370948e250748.png)
A.最小值![]() | B.最大值18 | C.最小值27 | D.最大值![]() |
您最近一年使用:0次
名校
解题方法
8 . 数列
的奇数项成等比数列,偶数项成等比数列,
是数列
的前
项和,
,
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb76decfc53881dcf58bd160724b022c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c9a3c1ff78e51ebe60503ef6cd01f8a.png)
A.![]() ![]() |
B.当![]() ![]() ![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
名校
9 . 等差数列
的前
项和为
,若
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/bef5fe1ba6bb2e5ffefb05b0882d44fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75e4396f9e6a3b5f1147583625ec737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee0d40d78e28c0d1f89d75f7fe09550.png)
A.30 | B.50 | C.20 | D.40 |
您最近一年使用:0次