解题方法
1 . 已知等差数列
的前n项和为
,若
,
,
取得最大值时n的值为( )
![](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/8827c05075967f3c3569d31cb6b83919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc807ea4b8a7ed325aee49aa292552ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.6 | B.5或6 | C.7 | D.6或7 |
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2 . 任取一个正整数,若是奇数,就将该数乘3再加上1;若是偶数,就将该数除以2.反复进行上述两种运算,经过有限次步骤后,必进入循环圈1→4→2→1.这就是数学史上著名的“冰雹猜想”(又称“角谷猜想”等).如取正整数m=6,根据上述运算法则得出6→3→10→5→16→8→4→2→1→4→2→1→…….
现给出“冰雹猜想”的递推关系如下:已知数列
满足:
(m为正整数),
.当
时,使得
的最小正整数n值是( )
现给出“冰雹猜想”的递推关系如下:已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/999ac8c1ef39251e07a7fc54cbf7e26e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3b8da539b342129be7bf62380722e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49a4778bbd68007df3e4bb257bb811ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15ffa7fecea3704dc892ea8cd513c59.png)
A.17 | B.16 | C.15 | D.10 |
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名校
3 . 已知数列
满足
,且
,那么
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be29d8f996c54183663d8a954166dc16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
A.4 | B.5 | C.6 | D.8 |
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4 . 数列
的前n项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4555dca34cc0ad25f9648d19bcbb69da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
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名校
5 . 在等比数列
中,
是方程
的两个根,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc31cdb2257e9d1b0217214ecf74bedd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd4eefaee535826b4e6d699e1568676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3192f1b0b11f57f8995f6da69215d1.png)
A.![]() | B.![]() | C.![]() | D.2 |
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2024-01-23更新
|
835次组卷
|
2卷引用:黑龙江省牡丹江第二高级中学2023-2024学年高二上学期期末模拟数学试题
名校
解题方法
6 . 等差数列
的前
项和为
,
,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/7d016134e868cdad2396a514966c29d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27182444d3da4003680f07ec299087c.png)
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2024-01-23更新
|
656次组卷
|
3卷引用:内蒙古自治区赤峰市红山区2023-2024学年高二上学期期末学情监测数学试卷(B)
内蒙古自治区赤峰市红山区2023-2024学年高二上学期期末学情监测数学试卷(B)(已下线)5.2.2等差数列的前n项和(分层练习,7大题型)-2023-2024学年高二数学同步精品课堂(人教B版2019选择性必修第三册)河北省部分示范性高中2024届高三下学期一模数学试题
7 . 已知
为递增等差数列,
,
,则
的公差
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a262fb279ece0a6f0fba124a95861af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26d1ec2b576270106b4bbbbf90b8ce1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 数列
的一个通项公式是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c7c9294c78ced7960f0968a1624fd8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-22更新
|
433次组卷
|
2卷引用:青海省西宁市大通县2023-2024学年高二上学期期末考试数学试题
9 . 在等比数列
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa37e5661af68b263a3ed9030d4e9003.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eddc14c9758789dd8d7bcab6b5f747e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa37e5661af68b263a3ed9030d4e9003.png)
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10 . 若数列
为等差数列且
,
,则数列
的通项公式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1928c254cfada1f75a5cd1e34db5a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0232ec48befa61dc6fa11255904eceb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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