1 . 已知椭圆C:
短轴长为2,左、右焦点分别为
,
,过点
的直线l与椭圆C交于M,N两点,其中M,N分别在x轴上方和下方,
,
,直线
与直线MO交于点
,直线
与直线NO交于点
.
的坐标为
,求椭圆C的方程;
(2)在(1)的条件下,过点
并垂直于x轴的直线交C于点B,椭圆上不同的两点A,D满足
,
,
成等差数列.求弦AD的中垂线的纵截距的取值范围;
(3)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347b68f42934c74e0d759a67613a1da9.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/4884cda7cedc4184bfb723f0f4d8a233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afe8f3190de250fa8bfea8c6820b727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16c755ab3fea6ca99b13193a5d7e485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fda993d38532293724009685288b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd11225d97c2b1e262adff3f1dde30ae.png)
(2)在(1)的条件下,过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290b64ccb8a211698c1f03997f0b3b2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe343099a06b809272f41b03a4af8dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04a1eec4fa5ce0544e4e22693b2d3f0.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bdcd65ef5bffda1f1e993176e43bef.png)
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5卷引用:湖北省华中师范大学第一附属中学、湖南省湖南师范大学附属中学等三校2024届高三下学期4月模拟考试(二模)数学试卷
湖北省华中师范大学第一附属中学、湖南省湖南师范大学附属中学等三校2024届高三下学期4月模拟考试(二模)数学试卷河南省信阳市第一高级中学(华大新高考联盟)2024届高三4月教学质量测评数学试题河南省信阳市信阳高级中学2024届高三下学期4月二模数学试题(已下线)压轴题02圆锥曲线压轴题17题型汇总-3(已下线)专题13 学科素养与综合问题(解答题18)
解题方法
2 . 已知椭圆
,过椭圆
上一动点
引圆
的两条切线
为切点,直线
与
轴、
轴分别交于点
.
(1)已知
点坐标为
,求直线
的方程;
(2)若圆
的半径为2,且
,过椭圆
的右焦点作倾斜角不为0的动直线
与椭圆
交于
两点,点
在
轴上,且
为常数,求
的面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b4bcb812c997db47214cb52c905f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9d7ee1f1df389156f96aca34f2fcdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/917c58347f05322e08fb1f5e3023ce99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ccc204ddc168aac908e6a4211ad3ef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6655f68b9b4d7be525e91e283827d72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0023c9e8e0fec24d3aa77d09b2e4e62.png)
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解题方法
3 . 如图,设P是
上的动点,点D是点P在x轴上的投影,Q点满足
(
).
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/37763338-a15c-4467-b8f5-4e6ad24f3596.png?resizew=176)
(1)当点P在圆上运动时,求点Q的轨迹C的方程;
(2)若
,设点
,A关于原点的对称点为B,直线l过点
且与曲线C交于点M和点N,设直线AM与直线BN交于点T,设直线AM的斜率为
,直线BN的斜率为
.
(i)求证:
为定值;
(ii)求证:存在两条定直线
、
,使得点T到直线
、
的距离之积为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd89a03660c85fb78bd7fe82ee3068c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c7a5dd3dcfe8d8f01993c3ff1b32a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78fbecca12ee62538020483fd55a2109.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/37763338-a15c-4467-b8f5-4e6ad24f3596.png?resizew=176)
(1)当点P在圆上运动时,求点Q的轨迹C的方程;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3cf0f585938ede9eca890a6eb326d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ea1f5bdd213c7c3a571b4c38850bf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07f7e233f3074007b2c692777c25019.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
(i)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67351fe10fcfc3f9072eec4c60bfaaa5.png)
(ii)求证:存在两条定直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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2023-11-16更新
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3卷引用:湖南省长沙市雅礼中学2023-2024学年高二上学期期中数学试题
4 . 已知
、
分别为椭圆
的左、右焦点,M为
上的一点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/16/cff88b0f-3610-485e-8630-c52be4f54628.png?resizew=186)
(1)若点M的坐标为
,求
的面积;
(2)若点M的坐标为
,且直线
与
交于不同的两点A、B,求证:
为定值,并求出该定值;
(3)如图,设点M的坐标为
,过坐标原点O作圆
(其中r为定值,
且
)的两条切线,分别交
于点P,Q,直线OP,OQ的斜率分别记为
,
.如果
为定值,求
的取值范围,以及
取得最大值时圆M的方程.
![](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/ae7b1b8a84ae7a1b2243b78cc932860d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/16/cff88b0f-3610-485e-8630-c52be4f54628.png?resizew=186)
(1)若点M的坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1cf3a0a11540cc71f30427f0c126fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f9a699aededce0ad803bf8257fbbcb.png)
(2)若点M的坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa72291f73907b16f264ac489f56621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7787dfab61ed9830b531da365e592bbd.png)
(3)如图,设点M的坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5823e0c6dd1b7a6ff42d4ff521cc0366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7c24736afdc753a3713a1c6e84d7c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f7910d0e12b74383a4914078b562038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e922913f674a5b42cff60ffb8ce038d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4757181824e15e0f21e5bdd55448783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bab77b1212086d7b16e288f73a09560.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bab77b1212086d7b16e288f73a09560.png)
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2023-05-11更新
|
1190次组卷
|
4卷引用:湖南省岳阳市岳阳县2023届高三下学期新高考适应性测试数学试题
湖南省岳阳市岳阳县2023届高三下学期新高考适应性测试数学试题上海市上海师范大学附属中学2022-2023学年高二下学期期中数学试题(已下线)重难点突破12 双切线问题的探究(六大题型)(原卷版)-1福建省泉州市永春第一中学2023-2024学年高二上学期期中数学试题
名校
解题方法
5 . 如图,已知椭圆
与等轴双曲线
共顶点
,过椭圆
上一点P(2,-1)作两直线与椭圆
相交于相异的两点A,B,直线PA、PB的倾斜角互补,直线AB与x,y轴正半轴相交,分别记交点为M,N.
(2)若直线AB与双曲线
的左,右两支分别交于Q,R,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e6314e24c0225d455415c52124052b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e04c8d7fbd6165d240cad25eaef7b8ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)若直线AB与双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fbac86947f24d80503333eed69e0427.png)
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2023-01-02更新
|
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|
2卷引用:湖南省长沙市雅礼中学2022-2023学年高三上学期月考(五)数学试题
名校
解题方法
6 . 已知直线
与椭圆
交于点A,B,与x轴交于点C,与y轴交于点D.当直线l经过椭圆E的左顶点时,椭圆E两焦点到直线l的距离之比为
.
(1)求椭圆E的离心率;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e5828f63192614299baddc71f828a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b916dbb50387778f1ae83a2aded8ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89f592fb2e4eba40eabf50d2c063927.png)
(1)求椭圆E的离心率;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04240283b1f69aefbee17c69915e8f1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45451b805ccefa04136ca815bff137c1.png)
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2022-10-23更新
|
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|
2卷引用:湖南省长沙市四校2022-2023学年高二上学期期中联考数学试题
名校
解题方法
7 .
,
是椭圆
:
的左、右顶点,
是椭圆
上位于
轴上方的动点,直线
,
与直线
:
分别交于
,
两点,当
点的坐标为
时,
.
(1)求椭圆
的方程;
(2)记
和
的面积分别为
和
.求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef233ad3db01fa3ce9ee94eaad8e64e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c75aceb84fdb65878485f420fe1b1f0c.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a11cb104b04c4e6a1be700e81da279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781e6927e3bc512359dc8b0c11e195d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
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2022-06-03更新
|
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3卷引用:湖南省邵阳市第二中学2022届高三下学期高考全真模拟考试数学试题
湖南省邵阳市第二中学2022届高三下学期高考全真模拟考试数学试题(已下线)专题6 圆锥曲线硬解定理 微点2 圆锥曲线硬解定理综合训练2023版 湘教版(2019) 选修第一册 过关斩将 第3章 综合拔高练
解题方法
8 . 已知点
为椭圆C的右焦点,P为椭圆上一点,且
(O为坐标原点),
.
(1)求椭圆C的标准方程;
(2)经过点
的直线l与椭圆C交于A,B两点,求弦
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f15fc8481e350e6f3efd14d618b30d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6196f68aa254e0bc1061551d47bb934c.png)
(1)求椭圆C的标准方程;
(2)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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2021·全国·模拟预测
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解题方法
9 . 已知椭圆
,
,
分别为椭圆
的右顶点、上顶点,
为椭圆
的右焦点,椭圆
的离心率为
,
的面积为
.
(1)求椭圆
的标准方程;
(2)过点
作直线交椭圆于
,
两点,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23686d37eb89fb4c6b6649fb76f02b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/89d8dea222790d161280aaf3cba7dd30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2021-12-31更新
|
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4卷引用:湖南省市(州)部分学校2022届高三下学期“一起考”大联考三模数学试题
10 . 如图,已知椭圆
上一点
,右焦点为
,直线
交椭圆于
点,且满足
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/3afa352d-2fbb-49d6-9263-ce140e69e670.png?resizew=216)
(1)求椭圆
的方程;
(2)若直线
与椭圆相交于
两点,求四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1dc3f9b1eb1727efd1717a745ffbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da05297b6cc5fcde1cf490c4265af9c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6fe0f38ab3095ac6575faa02914b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e8e7fce9956e1e349470e30af7ce279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8e868e956831a573f3a5ab725c3041b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/3afa352d-2fbb-49d6-9263-ce140e69e670.png?resizew=216)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a08a1b0fdc196de310feb0036204a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c593ebdb2f1934a0cb56f8c44f454f8.png)
您最近一年使用:0次
2021-03-30更新
|
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6卷引用:湖南省长沙市雅礼中学2024届高三上学期月考(二)数学试题
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