1 . 某人买一辆15万元的新车,购买当天支付3万元首付,剩余向银行贷款,月利率
,分12个月还清(每月购买车的那一天分期还款).有两种金融方案:等额本金还款,将本金平均分配到每一期进行偿还,每一期所还款金额由两部分组成,一部分为每期本金,即贷款本金除以还款期数,另一部分是利息,即贷款本金与已还本金总额的差乘以利率;等额本息还款,每一期偿还同等数额的本息和,利息以复利计算.下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571f8005db1b2586d814ae0ad8db46b5.png)
A.等额本金方案,所有的利息和为2340元 |
B.等额本金方案,最后一个月还款金额为10030元 |
C.等额本息方案,每月还款金额中的本金部分呈现递增等比数列 |
D.等额本金方案比等额本息方案还款利息更少,所以等额本金方案优于等额本息方案 |
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2 . 设无穷数列
的前
项和为
,且
,若存在
,使
成立,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.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/661eb98b215405edbdc6434ce55b89cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699dfd96d64e59252e384847629c7a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4208fc3a5068fad9bcd233cca865c2fe.png)
A.![]() |
B.![]() |
C.不等式![]() ![]() |
D.对任意给定的实数![]() ![]() ![]() ![]() |
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3 . 已知数列
是公差为
的等差数列,若它的前
项的和
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90bfe21c96489cb30c544d49ddb4c1c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5596e3d616cd804ad9a29a98b720831d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/079f16bbd0704ecb6e5e44c5725af1d9.png)
A.若![]() ![]() ![]() ![]() |
B.![]() ![]() |
C.![]() |
D.![]() |
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2024-06-08更新
|
338次组卷
|
2卷引用:河北省衡水市2024届高三下学期大数据应用调研联合测评( VIII)数学试题
名校
解题方法
4 . 设
的内角A,B,C的对边分别为a,b,c,恒成立条件
,
. 附加条件①
的面积取到最大值
;附加条件②
.下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5147cca7b8d208293abb9ad7bd8d909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c03207e627c04aa219910a9ed92f39e7.png)
A.![]() | B.![]() |
C.若恒成立条件和附加条件①成立,则![]() | D.若恒成立条件和附加条件②成立,则![]() |
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解题方法
5 . 已知
中,角A,B,C所对的边分别为a,b,c,其中
,
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6539309fe4c6610b5ee68738c3b91bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913ede3d81df87b3c32eed2cf2b6d674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cd649686f5e5f9244dac6a6b520b5f3.png)
A.![]() |
B.![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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6 . 设等差数列
的前n项和为
,e是自然对数的底数,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.当![]() ![]() ![]() ![]() |
B.数列![]() |
C.数列![]() |
D.当p,q均为正整数且![]() ![]() |
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解题方法
7 . 已知
,动点
满足
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7613f5e7af7b50a65777e046ced4d3c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe53e549f52d6f0b33aa6ac482ae7e3.png)
A.点![]() ![]() |
B.![]() ![]() |
C.![]() ![]() ![]() |
D.过点![]() ![]() ![]() ![]() ![]() |
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2024-05-28更新
|
524次组卷
|
2卷引用:河北省衡水市2024届高三下学期大数据应用调研联合测评( VIII)数学试题
名校
解题方法
8 . 已知数列
,
,记
,
,若
且
则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd2a777ca80aba17b6dd45805665540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aeb6eb319ba57ca8e559e9bf216e83c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78ee7e4b2dc4a05530d21f679e89e6ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2fb9c3f43850af2fa1d41b59591b48.png)
A.![]() | B.数列![]() ![]() |
C.![]() | D.![]() |
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9 . 已知正实数
,
,
,且
,
,
,
为自然数,则满足
恒成立的
,
,
可以是( )
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7204ebb165d62bf4121ce3ae1b4406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.![]() ![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() ![]() | D.![]() ![]() ![]() |
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2024-05-19更新
|
1738次组卷
|
3卷引用:浙江省天域全国名校协作体2023-2024学年高三二模数学试题
2024·全国·模拟预测
10 . 已知
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef736dc8487af02786b0a42add86917e.png)
A.![]() | B.![]() |
C.![]() | D.若![]() ![]() |
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