1 . 一组数据:12,8,6,15,12,10,8,17,20,12的
分位数是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1213c2a26a77edc9d0615b9988474c77.png)
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2 . 已知函数
在点
处的切线
经过点
.
(1)求
的方程.
(2)证明:数列
是等比数列.
(3)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9c4c90bc9a55a01aff4e7a51e3babc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e684bbf8039dc14ea6a402f3478b3aa4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213e22890204937a5dded4436369390f.png)
(3)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/110052f0b9fb3f827369b6cc056d8ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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3 . 在
的展开式中,形如
的所有项的系数之和是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b05e51e649d4084b9304c4e5c5dc201.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026b40290a915b87c6fd36db8fad5ee4.png)
A.256 | B.![]() | C.1512 | D.![]() |
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4 . 如图,直线
与曲线
,
,
,
均相交,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e915b67f8f747698b8b46d37bc453667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83f3574c440135b1e8d33f9662e7e883.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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5 . 某质点的位移
(单位:
)与时间
(单位:
)满足函数关系式
,当
时,该质点的瞬时速度为
,瞬时加速度为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9bbe98100c8067ff36ac536d043a85.png)
______ ,数列
的前20项和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65502a7ea4d1ce6d6d8c720845c73e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/518dc7e50c747e406722b7f9942e956c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50116617310d066168dca3740fe4205b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367e3d64b8e329f66355a74772ed4c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed7ca096c6dcb8e7be065f4284c7aa3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9bbe98100c8067ff36ac536d043a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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6 . 设等比数列
的前
项积为
,下列命题为真命题的是( )
![](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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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7 . 已知双曲线
上一点到两个焦点的距离之差的绝对值为8,虚轴长为6,则
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.2 | D.![]() |
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8 . 在数列
中,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d254aaf649796af736f50d4d5d67a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4487468ab2823d6dbf7f0ebd2eb38.png)
A.9 | B.10 | C.11 | D.12 |
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9 . 函数
的图象在
处的切线的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9928c80f35a1dc94805903f71253dd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
A.![]() | B.![]() | C.900 | D.960 |
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10 . 已知抛物线
的焦点
到准线
的距离为6.
(1)求抛物线
的方程;
(2)已知点
,
是
上的两点,
是抛物线
上一动点,原点到直线PA,PB的距离均为3,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba379e55fcf7ceee03de7d43001eeb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c8e73eb063f711a944a9843bdd55ad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1858507c21102b33fadc14d42aa38441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
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2024-04-10更新
|
303次组卷
|
3卷引用:江西省赣州市十八县(市)二十四校2023-2024学年高二下学期期中考试数学试题