解题方法
1 . 已知向量
,则向量
的夹角为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df23fc29fa7ffadab381ba45a0cd263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
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2 . 已知
均为正实数,且都小于
为自然对数的底),且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4fe55590669193d6388ac423672a032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bfe9c52eff0bf41e677c093a62ab6c5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2021-08-01更新
|
486次组卷
|
3卷引用:安徽省宣城市2020-2021学年高二下学期期末理科数学试题
安徽省宣城市2020-2021学年高二下学期期末理科数学试题(已下线)第三章 利用导数比较大小 专题一 同构具体函数比较大小 微点1 构造x,x^2,e^x的组合函数比较大小河南省许昌市禹州市开元学校2022-2023学年高二下学期3月月考数学试题
解题方法
3 . 勾股定理是“人类最伟大的十个科学发现之一”.我国对勾股定理的证明是由汉代的赵爽在注解《周髀算经》时给出的,他用来证明勾股定理的图案被称为“赵爽弦图”,
年在北京召开的国际数学大会选它作为会徽在赵爽弦图中直角三角形较小的锐角记为
,大正方形的面积为
,小正方形的面积为
,则
( )
![](https://img.xkw.com/dksih/QBM/2021/7/11/2762007087071232/2776604058329088/STEM/7a26bd9ab34448288ab94ce2f49161d0.png?resizew=183)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194813eccb7fdf6da3cd55b4411c0401.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06fc7811f9525e8b8c833746d6af5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5acb85cce3c0e8690fb31a0fd8b53a5.png)
![](https://img.xkw.com/dksih/QBM/2021/7/11/2762007087071232/2776604058329088/STEM/7a26bd9ab34448288ab94ce2f49161d0.png?resizew=183)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-08-01更新
|
294次组卷
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2卷引用:安徽省宣城市2020-2021学年高二下学期期末理科数学试题
4 . 已知三棱锥
的各顶点都在球
上,D,E分别是
,
的中点,
平面
,
,
.下列结论:(1)
平面
;(2)球
的体积是
;(3)直线
与平面
所成角的正弦值是
;(4)平面
被球
所截的截面积是
,以上命题正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c33f1a5c2756b3ac0ee522195a4d3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/540951846d8622c3eb858a326f5e23de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aebe18d048c1a35d92119af69b34395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010a0f936c00bf87f77845221398f57b.png)
A.1 | B.2 | C.3 | D.4 |
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解题方法
5 . 已知过抛物线
焦点
的直线
交抛物线于M、N两点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feea397141fad71cf8cda3bf895c16b8.png)
A.![]() | B.![]() | C.![]() | D.6 |
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名校
6 . 若
,
为锐角,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57627fbb53bc01c455b0272d3b9f3bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d75b4094ee80419b829fbf03d698e3ab.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-07-31更新
|
561次组卷
|
2卷引用:安徽省宣城市2020-2021学年高二下学期期末文科数学试题
解题方法
7 . 已知函数
为R上的奇函数,且
,当
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deec37d10748559e531ab1ccf2005e3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d57347c0894c743c985a81480078e766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a45965bbc3ac86eb454cabc28bb0bac.png)
A.![]() | B.0 |
C.![]() | D.![]() |
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8 . 函数
的图象向左平移2个单位长度得到函数
的图象,则
的图象大致为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d5ff9209c43b3c9c7f9e40755916fa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 我国古代数学名著《九章算术》有一衰分问题:“今有北乡八千一百人,西乡九千人,南乡五千四百人,凡三乡,发役五百人.”若要用分层抽样从这三个乡中抽出500人服役,则北乡比南乡多抽出人数为( )
A.60 | B.70 | C.80 | D.90 |
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10 . 复数z满足
,其中i为虚数单位,则z的共轭复数的虚部为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372ce44e8c5135abb9398d8a8dbe54a8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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