名校
解题方法
1 . 如图,在四棱锥
中,底面
为菱形,且
,
平面
,
,点
为
的中点.
(1)求证:平面
平面
;
(2)二面角
的大小;
(3)设点
在
(端点除外)上,试判断
与平面
是否平行,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f83a04565a8ebaa111894b724b0ba266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61de6d673ecbbbd9458991558e7dc90.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/17/422efbe7-d480-400a-9154-9e8a5c65ae88.png?resizew=188)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3547a914468b082d8d8741b974a03190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147310251a463539f66374c1f452fb67.png)
(3)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8768996ca9a0f2c5d9a19abbd54df.png)
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2 . 在正四面体
中,棱长为2,且
是棱
中点,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d53a042dac85b32a172b198bd9d6c986.png)
A.![]() | B.1 | C.3 | D.7 |
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2023-12-28更新
|
297次组卷
|
3卷引用:山东省威海市威海大光华学校2023-2024学年高二上学期11月月考数学试题
山东省威海市威海大光华学校2023-2024学年高二上学期11月月考数学试题(已下线)专题11 空间向量及其运算10种常见考法归类(2)湖南省长沙市德成学校2023-2024学年高二上学期期末数学试题
解题方法
3 . 已知
,则
的解析式为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56ce0d342547ab6eb72ec168132d9981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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4 . 计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432c29eae0c167d875dd97eeaef3742d.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432c29eae0c167d875dd97eeaef3742d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2600511dd401d73ef0a5e9471caee93.png)
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名校
解题方法
5 . 已知命题
,
,命题q:存在集合
,
,使得
,若p,q都是真命题,则实数a的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2a433f021c3b71f0f3bd8313069025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47dbb694e96dbd7221ac9499ddeb5d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6aada18be8d193ee69146684c2beb2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f2a65c2246b6d4cb18c05497d96a9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
您最近一年使用:0次
名校
6 . 已知数列
满足
,
为数列
的前n项和,且满足
.
(1)证明数列
成等差数列,并求数列
的通项公式;
(2)设
,
为数列
的前n项和,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a16a191d356026f76f97f55e6201dc0.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8050391385b496e9c059201e4f12600a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f8ec42af3762f715b95b4931c28f5d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939366f52d33ae3f69b101251eaa02da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
名校
解题方法
7 . 已知数列
为等比数列,
,公比
,且
,
,
成等差数列.
(1)求数列
的通项公式;
(2)设
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71acdb04454c77e1e25ad4f336cccfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b32a0aea3308e1678a290ccb84b741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f6000421c5370e4b89f23be199f388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce210e939da2bad2bfaecf039482ec03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
名校
8 . 在空间直角坐标系中,
,向量
,若
∥
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5ca0f24f8c6036685653e4706f6b2af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06feb02712c7b31afa57c12e8dfee237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a014dff8997c661055229de29c61cfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4478fcaef66e8a6a96925ce12d0f8e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
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名校
解题方法
9 . 已知椭圆C:
的左右焦点分别为
,长轴长为4,点P
在椭圆内部,点Q在椭圆上,则以下说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8da36e3081bfe5d32c9ec70be4da3da.png)
A.离心率e的取值范围为![]() |
B.当离心率![]() ![]() ![]() |
C.存在点Q使得![]() |
D.![]() ![]() |
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名校
10 . 已知直线
和圆
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a482eab8fe2dd5f6dcb1043880ee1d37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966df870423cfaf196b6ac9704abce46.png)
A.直线![]() ![]() |
B.圆![]() ![]() |
C.圆周上有且只有两个点到直线![]() ![]() |
D.直线![]() ![]() ![]() |
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