1 . 已知函数
,对任意的
,
,且
,则下列四个结论中,不一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0603ca134b8bb36ed51710b40808dbb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 已知
是偶函数,若当
时,
,则当
时,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93375c45d8eb7e9a6f340e56575884c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知
,
,
,若
,则
,
,
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ff35f3b50966a5e3cbb0b5977af7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec003c8af0c3e2cbc3ac6007d40594a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd83081b7e9b30f60984e22d4aafb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e1a1611f320c0f358df77aaae3f942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db2838cec6d8fcb8d2de1c647ac2f12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83001776205a796a9f9c2f517e2b4709.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4 . 按下面流程图的程序计算,若开始输入x的值是
,则输出结果
的值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/93ee5efc-4b8f-46d7-aa79-394d294d280e.png?resizew=414)
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5 . 某公司制定了一个激励销售人员的奖励方案:对于每位销售人员,均以10万元为基数,若销售利润没超出这个基数,则可获得销售利润的5%的奖金;若销售利润超出这个基数(超出的部分是a万元),则可获得
万元的奖金.记某位销售人员获得的奖金为y(单位:万元),其销售利润为x(单位:万元).
(1)写出这位销售人员获得的奖金y与其销售利润x之间的函数关系式;
(2)如果这位销售人员获得了
万元的奖金,那么他的销售利润是多少万元?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347a59b290982587566af5d165f0a8a5.png)
(1)写出这位销售人员获得的奖金y与其销售利润x之间的函数关系式;
(2)如果这位销售人员获得了
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d3bf727f6c78896544c7f6c8ff33ba.png)
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6 . 在数列
中,
,
(
).
(1)求
,
,
的值;
(2)猜想这个数列
的通项公式,并证明你猜想的通项公式的正确性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950c6303c2ec03e48137be8addf9245c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(2)猜想这个数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
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7 . 已知函数
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ab31dd3e6542ee9f6292a3411d321e.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b1e97d4a2adea8d466926ac6b72a4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0891637fff794b91675125548d02baf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ab31dd3e6542ee9f6292a3411d321e.png)
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解题方法
8 . 如图,在四棱锥
中,侧面
底面
,底面ABCD是矩形,
, E,F分别是棱PC,PD的中点.
![](https://img.xkw.com/dksih/QBM/2019/11/28/2343719880220672/2394537964994560/STEM/322784e87f4f4274a39d233c4ff4a91e.png?resizew=299)
(Ⅰ)求证:
;
(Ⅱ)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a4426db778693c875e2dca9220875d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f6967901d6c855864df01e7bf7a15c.png)
![](https://img.xkw.com/dksih/QBM/2019/11/28/2343719880220672/2394537964994560/STEM/322784e87f4f4274a39d233c4ff4a91e.png?resizew=299)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8df9fecaa0b266568ad35fb8f0e019.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a22d6b860f06fe23618b0d3de6768fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
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9 . 如图,已知动点P在正方体
的面
及其边界上运动,若该动点P到棱
与
的距离相等,则动点P的轨迹是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/cfac5163-f5e8-49da-b0cc-1317e505f0f9.png?resizew=170)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59a80427c5520818aa57e4de7bb5ce7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/cfac5163-f5e8-49da-b0cc-1317e505f0f9.png?resizew=170)
A.一条线段 | B.一段圆弧 | C.一段抛物线弧 | D.一段椭圆弧 |
您最近一年使用:0次
2020-02-08更新
|
195次组卷
|
2卷引用:重庆市大足区2018-2019学年高二上学期期末数学(理)试题
10 . 如图,已知直线与抛物线
交于A,B两点,且
交AB于点C,点C的坐标为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/3ca2146f-7757-4696-b74d-54ff957c9413.png?resizew=157)
(Ⅰ)求直线AB的的方程;
(Ⅱ)设点D是AB的中点,若点D到抛物线
的准线的距离等于7,求p的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc8b65205560c499912ac833ef68119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771b610e4ddefa739a985d1e5462ce5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7012a2444ec4092aa27016df9a1db2a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/3ca2146f-7757-4696-b74d-54ff957c9413.png?resizew=157)
(Ⅰ)求直线AB的的方程;
(Ⅱ)设点D是AB的中点,若点D到抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc8b65205560c499912ac833ef68119.png)
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