1 . 如图,直线
经过抛物线
:
的焦点
,与抛物线
交于点
,与准线交于点
,且
,则直线
的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6d8eaacc2d999b37209feba103f9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0593fe41c9f86258ecc537885c2ec82a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/f72797df-2ea5-47f7-af20-d1f121f4f542.png?resizew=121)
A.![]() | B.2 | C.3 | D.![]() |
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2 . 医学治疗中常用放射性核素
产生
射线,而
是由半衰期相对较长的
衰变产生的.对于质量为
的
,经过时间t后剩余的
质量为m,
是以t为自变量的指数函数,其部分图象如图.从图中可以得到
的半衰期为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deeae77dc16c05635531ee5278863937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deeae77dc16c05635531ee5278863937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2e873307741f49ed377eb13fe9b07cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e93d8fb77f5bd2c0fc690752dfd771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2e873307741f49ed377eb13fe9b07cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2e873307741f49ed377eb13fe9b07cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/603622cd2407af65b7c40f9d1713f8ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2e873307741f49ed377eb13fe9b07cb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/0926b8c0-eda9-44f0-8b71-9e26588a2396.png?resizew=169)
A.67.3d | B.101.0d | C.115.1d | D.124.9d |
您最近一年使用:0次
3 . 高阶等差数列是数列逐项差数之差或高次差相等的数列,中国古代许多著名的数学家对推导高阶等差数列的求和公式很感兴趣,创造并发展了名为“垛积术”的算法,展现了聪明才智.如南宋数学家杨辉在《详解九章算法·商功》一书中记载的三角垛、方垛、刍甍垛等的求和都与高阶等差数列有关.如图是一个三角垛,最顶层有1个小球,第二层有3个,第三层有6个,第四层有10个,则第30层小球的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/23c28e04-a99a-4ab4-b9d3-9430d0ffc561.png?resizew=138)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/23c28e04-a99a-4ab4-b9d3-9430d0ffc561.png?resizew=138)
A.462 | B.465 | C.468 | D.475 |
您最近一年使用:0次
4 . 直线
的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6274852e643a635e7340efa732edddc4.png)
A.45° | B.60° | C.135° | D.150° |
您最近一年使用:0次
解题方法
5 . 已知双曲线
的渐近线方程为
,则该双曲线的焦点坐标分别为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02de30f4ba2ef4076fa8d7844edb24b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9162c9103bf7478840d17dadbd37b4.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
6 . 已知等差数列
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae02b7678da9ab6f2e0e65df2bad41e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8502753578885e6bd93b3cbb21ea06db.png)
A.10 | B.8 | C.6 | D.4 |
您最近一年使用:0次
7 . 在空间直角坐标系中,已知点
,
,
,若向量
与向量
共线,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7af92947478d9ce335edb95b58ff2a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/951eddcf0f738250497422ce41013549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5028def073db00361e022daf0cb965f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.0 | B.![]() | C.1 | D.![]() |
您最近一年使用:0次
名校
8 . 已知
是两条不同的直线,
为平面,
,下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ccc19a183b9ce7f82d2609a14b9a43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/539a38ada26356d73024fb8533449c49.png)
A.若![]() ![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
2024-02-20更新
|
737次组卷
|
2卷引用:河南省周口市项城市四校2024届高三上学期高考备考精英联赛调研数学试题
名校
解题方法
9 . 已知椭圆
的离心率为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113a2cb11fb93bd71c7f13dde9b24812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() ![]() | B.![]() | C.![]() ![]() | D.1 |
您最近一年使用:0次
2024-02-20更新
|
835次组卷
|
2卷引用:湖北省武汉外国语学校2023-2024学年高二上学期期末考试数学试题
10 . 已知数列
均为等差数列,且
,设数列
的前
项的和为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa76a582cc47e663fdb423c44d5949f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5344eadd4711db34e3f935aedd5fb270.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/10d84adcf862cb7057595c4b9cbf6800.png)
A.1335 | B.900 | C.1020 | D.1050 |
您最近一年使用:0次