解题方法
1 . 已知平面直角坐标系内的动点
恒满足:点
到定点
的距离与它到定直线
的距离相等.
(1)求动点P的轨迹C的方程;
(2)过点
的直线l与(1)中的曲线C交于A,B两点,O为坐标原点,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63309dbc3612815f6dbdee23d9a10adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed919c5b87f48f117bcddee8783f6f06.png)
(1)求动点P的轨迹C的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef9655d68f7cb3c579f0136da1516b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
您最近一年使用:0次
解题方法
2 . 已知
为数列
的前
项和,且
.
(1)证明:数列
为等差数列,并求
的通项公式;
(2)若
,设数列
的前
项和为
,求
.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec820bd8e19b79ffcd2268d4584ea5b7.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dea1dd4ffcb4cf0697ca43079f6a1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27d949040e7584edef509f9b54153bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
3 . 如图,在直四棱柱
中,底面
为菱形,
为
的中点.
(1)证明:直线
平面
;
(2)若
,且
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/533c27d9-b490-4d35-b107-c60cb120ade0.png?resizew=160)
(1)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7542b49ab149f2be8ba6b48392bef1f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1baa3d0db9ad31d33c2883a6efed1dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5a86745bfe1dfe7bc2683811210330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9c4666ac5098d6cf61af1c82dab681.png)
您最近一年使用:0次
名校
解题方法
4 . 如图,已知四棱锥
中,
是
的中点,
平面
,
为等边三角形,
,
.
(1)求证:
平面
;
(2)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f06172cbbdf90ec428634ddf75994d8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/22/502a6064-703f-4f82-8510-a14f2cc95563.png?resizew=208)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/982d01f052709b72afeaf1015fc7acc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7767d492158189b23af332a8016ed37d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2023-09-21更新
|
667次组卷
|
3卷引用:贵州省贵阳市观山湖区第一高级中学2023-2024学年高二上学期9月月考数学试题
5 . 如图,在直四棱柱
中,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/2/1be4fe13-c780-4e17-8811-b8e0dd8c63e4.png?resizew=128)
(1)证明:
.
(2)若
,四边形
的面积为
,求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0424446817f60c18f8e4e3cc202ad99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e36dc59be52ecb9d31f86a148e53ab43.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/2/1be4fe13-c780-4e17-8811-b8e0dd8c63e4.png?resizew=128)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442beba7ef17d73029f5aeff3d944c04.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ee160c2700328be5b2ff970e0f81b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b0a582c36d62d83c16425b2f54b4354.png)
您最近一年使用:0次
6 . 如图,已知正方形
和
边长都为2,且平面
平面
,
是
的中点,
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/4a498903-662c-4893-86c5-bb5ad1a936af.png?resizew=175)
(1)求点
到平面
的距离;
(2)求证:
平面
;
(3)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a406f24b5131eb7da9127750319e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf9a6db3571fa57bfa2d5e4d44c51b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a406f24b5131eb7da9127750319e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e2c0d4ac2bd79f6cea7a9b1a50662.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/4a498903-662c-4893-86c5-bb5ad1a936af.png?resizew=175)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/301925a3de5a772742909eed4109ec73.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94270844f197d524bf1da4f1385befd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/301925a3de5a772742909eed4109ec73.png)
(3)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/335deb37356b3eabfdc74061f433c4b7.png)
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解题方法
7 . 如图,在四面体
中,E,F,G分别是AB,BC,CD的中点,求证:
(1)
∥平面EFG;
(2)
∥平面EFG.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/22/a38adb2b-84bd-41b7-bdac-30d6abcd6acc.png?resizew=151)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
2023-09-21更新
|
392次组卷
|
3卷引用:贵州省黄平县且兰高级中学2023-2024学年高二上学期第一次月考数学试题
贵州省黄平县且兰高级中学2023-2024学年高二上学期第一次月考数学试题人教A版(2019)必修第二册课本习题 习题8.5(已下线)6.4.1直线与平面平行-【帮课堂】(北师大版2019必修第二册)
8 . 如图,在四棱锥
中,
平面
,四边形
是矩形.
,E,F分别是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/ed420df5-4ddd-4817-bd47-e7e74cfc07bc.png?resizew=152)
(1)证明:
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6af49df89cfab0004253f26a77b8e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f49222e9f127e6e1f85f7d4d327b8c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/ed420df5-4ddd-4817-bd47-e7e74cfc07bc.png?resizew=152)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6261790c66cc71ee3898afabad0c09f4.png)
您最近一年使用:0次
23-24高二上·上海·课后作业
解题方法
9 . 如图,在直三棱柱
中,
,
,棱
,点
、
分别是
、
的中点.建立适当的空间直角坐标系,解决如下问题:
(1)求
的模;
(2)求
;
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae445b17e686495b7ef5783c83c96410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3cc9cccfb4c260dac05f4ed57e8c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4acc5d21a7490e6bed2453cc5147c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a696a182fff038a86b2bbe8ca099442.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/14/4a12667b-b2bc-4aea-b5c7-4068e55ddf8f.png?resizew=105)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350f162ee9aa08f4c9779481a5ef1025.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe8732e96e02aa9a706af3f0dc4c6796.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b201f1e798eb74963b98f2b0da4132.png)
您最近一年使用:0次
名校
10 . 如图,在四棱锥中,底面
为矩形,
平面
,
,
,
,
分别是
,
的中点.
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a40e279fbb77437a71f5b5fde83327.png)
您最近一年使用:0次
2023-09-10更新
|
990次组卷
|
6卷引用:贵州省思南县民族中学2023-2024学年高二上学期数学期中模拟试题
贵州省思南县民族中学2023-2024学年高二上学期数学期中模拟试题辽宁省葫芦岛市东北师范大学连山实验高中2023-2024学年高二上学期10月月考数学试题云南省曲靖市罗平长水实验中学2023-2024学年高二上学期9月月考数学试题(已下线)通关练03 用空间向量解决距离、夹角问题10考点精练(58题) - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)辽宁省沈阳市东北育才学校2023-2024学年高三上学期第一次模拟考试暨假期质量测试数学试题江苏省宿迁市沭阳县某校2023-2024学年高三上学期10月阶段性测试数学试题