1 . 直线
经过抛物线
的焦点,且与抛物线
相交于
两点,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c40baffcb91c4d6a69f86a6b6bc5672.png)
A.![]() ![]() |
B.直线![]() ![]() |
C.![]() |
D.以![]() ![]() |
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2024-05-08更新
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4卷引用:云南省昆明市第八中学2023-2024学年高二下学期月考二数学试卷
云南省昆明市第八中学2023-2024学年高二下学期月考二数学试卷湖南省长沙市周南中学2023-2024学年高二上学期期末考试数学试题广东省惠州市惠阳区丰湖高级中学2023-2024学年高二下学期5月月考数学试卷(已下线)2024年新课标全国Ⅱ卷数学真题变式题6-10
2024·全国·模拟预测
名校
解题方法
2 . 已知
为坐标原点,抛物线
的焦点为
,经过点
且斜率为
的直线
与抛物线
交于
两点(点
在第一象限),若
,则以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ed9b2d4c4fe575e806daf5000efb83.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 如图,在棱长为
的正方体
中,
是
的中点,点
是侧面
上的动点,且
截面
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b724168afaee2ecddf97257180be18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3123da0313d458c833e82aaa234b9117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a211ad5a06b505b8365a62c1946f3cb7.png)
A.直线![]() ![]() |
B.点![]() ![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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解题方法
4 . 已知空间中三点
,则正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a601d61ea9d1030c567b9f32b8bb99.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() ![]() |
D.平面![]() ![]() |
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2024-03-29更新
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2卷引用:云南省沧源佤族自治县民族中学2022-2023学年高二上学期教学测评月考(一)数学试题
5 . 抛物线
的焦点为
,经过点F且倾斜角为
的直线l与抛物线C交于A,B两点,分别过点A、点B作抛物线C的切线,两切线相交于点E,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5421a28dc3675ae20190d6090793246e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.当![]() ![]() |
B.![]() |
C.点E在一条定直线上 |
D.设直线![]() ![]() ![]() |
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2024-03-14更新
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3卷引用:云南省下关第一中学2023-2024学年高二下学期5月期中数学试题
解题方法
6 . 已知双曲线E:
的左、有焦点分别是
,
离心率为2,过右焦点
的直线交双曲线E的右支于A,B两点,
的内切圆圆心为M,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be3707ed18a4908434882eaf83aea091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd8065fd9fe33e0b71d5933909f5c0.png)
A.双曲线E的渐近线方程为 ![]() |
B.直线![]() |
C.![]() |
D.M在定直线上 |
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7 . 已知抛物线
,过焦点
的直线
与抛物线
交于
两点(点
在第一象限),
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1cf8af6e62058cc4e2d83d5da7f4c68.png)
A.![]() |
B.![]() |
C.![]() |
D.当直线![]() ![]() ![]() ![]() |
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解题方法
8 . 如图所示,四棱锥
中,
为
的中点,
、
分别为线段
、
上的一动点;
为等边三角形,底面
为平行四边形,平面
平面
,
,
,下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/6a09550c-d51f-4bed-a6bd-79a580fed658.png?resizew=166)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f99f724bb3614b40d63b284abaa7993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d2871c2cd274769835f769bb3a6219c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/6a09550c-d51f-4bed-a6bd-79a580fed658.png?resizew=166)
A.存在点![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.![]() ![]() |
D.若三棱锥![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
9 . 已知
为椭圆
的左焦点,经过原点
的直线
与椭圆
交于
两点,
轴,垂足为
,
与椭圆
的另一个交点为
(异于点
),则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c7b8093a1f54511a50c1bb42dabb32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d3a0273d1f3046dfad2086d0df56c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
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2024-01-16更新
|
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9卷引用:云南省昆明市官渡区云南大学附属中学呈贡中学2023-2024学年高二下学期3月月考数学试卷
云南省昆明市官渡区云南大学附属中学呈贡中学2023-2024学年高二下学期3月月考数学试卷江苏省常州高级中学2022-2023学年高二上学期期中数学试题贵州省贵阳市“三新”改革联盟校2022-2023学年高二上学期月考(六)数学试题山西省阳泉市第一中学校2022-2023学年高二上学期11月期中考试数学试题黑龙江省大庆铁人中学2022-2023学年高二上学期期末考试数学试题江苏省无锡市辅仁高级中学2023-2024学年高二上学期10月月考数学试题湖北省部分县市重点中学温德克英名校联盟2023-2024学年高二上学期11月期中综合性质量监测数学试卷安徽省蚌埠市第二中学2023-2024学年高二上学期12月月巩固检测数学试题广东省广州市越秀区2023届高三上学期10月阶段测试数学试题
解题方法
10 . 过抛物线
的焦点
的一条直线交抛物线于
两点,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7d5b7a335fb30a034976287aee9e05.png)
A.![]() |
B.存在直线![]() ![]() ![]() |
C.若经过点![]() ![]() ![]() ![]() |
D.若![]() ![]() |
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2024-01-12更新
|
157次组卷
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2卷引用:云南省昆明市官渡区2023-2024学年高二上学期1月期末学业水平考试数学试题