解题方法
1 . 已知函数
.
(1)判断
的单调性;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7950145505c2334df22eeeddfc00bf01.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b863d457cb7d3424ea9a26d345a5ad3c.png)
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2 . 如图所示的花盆为正四棱台,上口宽
,下口宽
,棱长
,则该花盆的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a9eed64d225267a58cd001db67e2a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976260cbf5e30856d4fd37a4b0a671a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6533a2207c18662d05c4a5996042789e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知
为圆
上的动点,点
满足
,记
的轨迹为
,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63526b69de6148ea54f9ac9aa2c233bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/043759bf10f1fbf845d4853f011c7826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
A.轨迹![]() |
B.圆![]() ![]() |
C.过点![]() ![]() ![]() |
D.点![]() ![]() ![]() |
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解题方法
4 . 记等差数列
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/35224601e1e74cc020e609417ba89017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8e8e2f5a38fc77c5ea564e7e442192.png)
A.14 | B.72 | C.36 | D.60 |
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解题方法
5 . 2023年冬季,哈尔滨旅游业大兴,一商家制作各种各样的冰糖葫芦,现有橘子3瓣,猕猴桃2片、香蕉2片、草莓4个,若相同水果视为无差异,将所有水果串在一串上,则不同的串法共有_____________ 种.
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6 . 集合
,集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd49362e6416de61e4a3681b31ef6ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b91ccfd1185cc37bebd676a8deec4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5664795b83a672ae945f81f0c557d7c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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7 . 已知
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070be6b8b911597bceaa222710aaf321.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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解题方法
8 . 已知椭圆
的左、右焦点分别为
,抛物线
以
为焦点,过
的直线
交抛物线
于
两点,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
A.若![]() ![]() | B.当![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() | D.![]() |
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解题方法
9 . 设
是三个互不重合的平面,
是两条不重合的直线,则下列命题为真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b30b3a9e58846c80f3750b4bacd35ea.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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10 . 双曲线
的离心率为
,则双曲线上任意一点
到两焦点
的距离之差的绝对值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ab385a121ff9d4dd3d8469dd52f1cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e20838e72faf737614d76fcee82ab6c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
A.![]() | B.![]() | C.2 | D.4 |
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