1 . 直线
与抛物线
交于
、
两点,
为坐标原点,直线
、
的斜率之积为
,以线段
的中点为圆心,
为半径的圆与直线
交于
、
两点.
(1)求证:直线
过定点;
(2)求
中点的轨迹方程;
(3)设
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64165395e1b38d29de48f9a11e28b68f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ecaab6773e76e7b73794ecffec8f4ac.png)
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3卷引用:上海市普陀区曹杨第二中学2020-2021学年高二下学期3月月考数学试题
上海市普陀区曹杨第二中学2020-2021学年高二下学期3月月考数学试题上海市交通大学附属中学2022-2023学年高二下学期期中数学试题(已下线)专题3.10 圆锥曲线的方程全章八类必考压轴题-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)
2 . 在平面直角坐标系
中,原点为
,抛物线
的方程为
,线段
是抛物线
的一条动弦.
(1)求抛物线
的准线方程;
(2)求
,求证:直线
恒过定点;
(3)过抛物线的焦点
作互相垂直的两条直线
、
,
与抛物线交于
、
两点,
与抛物线交于
、
两点,
、
分别是线段
、
的中点,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61cfc930bd4c103e11d75917c6fba49b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)过抛物线的焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecfb02e157819a2bdd0f2790cbc825e9.png)
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3卷引用:上海市浦东新区2020-2021学年高二下学期期中数学试题
上海市浦东新区2020-2021学年高二下学期期中数学试题广东省普宁市第二中学2022届高三上学期第一次月考数学试题(已下线)专题03 圆锥曲线面积问题-【解题思路培养】2022年高考数学一轮复习解答题拿分秘籍(全国通用版)
3 . 设点
是抛物线
上异于原点O的一点,过点P作斜率为
、
的两条直线分别交
于
、
两点(P、A、B三点互不相同).
(1)已知点
,求
的最小值;
(2)若
,直线AB的斜率是
,求
的值;
(3)若
,当
时,B点的纵坐标的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc26262f7a1603369462c7c2f2197a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32e577ae1f4449efbd64c1199efe7a3.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/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05193d9096bd9da9230acc14228aa4e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4920bf4db93b18d4ecfdc05e310dd4.png)
(1)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da074dea235a634f03765ee05d677b89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76b1113864968119e61aeee9ba9c613b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f843893d5162784f2fb99b2beb874ce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf434334b09cc0fdd4e86e84e6ceb00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0435d4236144eaf562e1f7c1a4b2bda.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5257c9f416914e1f3cbe156bcc234db0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee7cfc9cf70522d027eefed5bc4af3e6.png)
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2022-02-15更新
|
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7卷引用:上海市闵行区2018-2019学年高二下学期期末数学试题
上海市闵行区2018-2019学年高二下学期期末数学试题(已下线)专题5.8 期末考前选做30题(解答题压轴版)-2020-2021学年高二数学下学期期末专项复习(沪教版)上海市闵行区七宝中学附属鑫都实验中学2021-2022学年高二上学期期末数学试题(已下线)2022年全国高考甲卷数学(理)试题变式题13-16(已下线)2022年全国高考甲卷数学(理)试题变式题13-16题(已下线)2022年全国高考甲卷数学(理)试题变式题17-20题(已下线)专题18 圆锥曲线中的张角问题 微点2 椭圆的直张角模型
4 . 已知点F为抛物线
的焦点,点
,点A为抛物线C上的动点,直线
(t为常数)截以
为直径的圆所得的弦长为定值.
(1)求焦点F的坐标;
(2)求实数t的值;
(3)若点
,过点A的直线
交抛物线于另一点B,
的中垂线过点D,求m的值和
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88eec86c17ca9025e2a6c7db421f5c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bbb2a23bb28d443062ae3e1a30b1be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39fd8404d5d33c3bfb5f49ca57218732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(1)求焦点F的坐标;
(2)求实数t的值;
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/103a1e71df66890dd5f29c8fb096d153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54479885d4ab2f717d2e97718da04b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
您最近一年使用:0次
2021-05-28更新
|
693次组卷
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3卷引用:上海市七宝中学2021届高三下学期第一次模拟数学试题
上海市七宝中学2021届高三下学期第一次模拟数学试题上海市闵行区七宝中学2021届高三5月份数学模拟试题((已下线)第45讲 解析几何的三角形、四边形面积问题及面积比问题-2022年新高考数学二轮专题突破精练
2021·上海浦东新·三模
5 . 设
,平面直角坐标系
内的直线
,
,分别与曲线
,交于相异的两点A、B.
(1)若
,求直线
的斜率;
(2)证明:直线
过定点M,并求出M的坐标;
(3)是否存在k,使得
在数值上等于
的
倍?若存在,求出所有满足条件的k,否则,证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4a45e79f51c7b5a9428f4cf2ab5c99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b3b0015776b82a4a2a17f0fe1b2030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4901f4e3f251c349c79df46e26d05c3b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)是否存在k,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a711bf44ed64556c72fbb0e7f42c27f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
您最近一年使用:0次
6 . 已知抛物线
的焦点为
,直线
交抛物线于不同的
两点.
(1)若直线
的方程为
,求线段
的长;
(2)若直线
经过点
,点
关于
轴的对称点为
,求证:
三点共线;
(3)若直线
经过点
,抛物线上是否存在定点
,使得以线段
为直径的圆恒过点
?若存在,求出点
的坐标,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.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/01c74a907dda6bb7d9d56d009d9df253.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33cc0f9aa168e43cc5759f017d69b498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc974093c70ddb5acdbae59378bed42.png)
(3)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd99db7870f44cc39d36e7a7b9beb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次
2021-05-11更新
|
1030次组卷
|
5卷引用:上海市松江区2021届高三二模数学试题
上海市松江区2021届高三二模数学试题(已下线)考向25 直线与方程-备战2022年高考数学一轮复习考点微专题(上海专用)上海市控江中学2022届高三下学期3月月考数学试题上海市格致中学2023届高三下学期3月阶段性测试数学试题上海市浦东新区建平中学2024届高三下学期2月考试数学试卷
解题方法
7 . 已知抛物线
的焦点为
,半径为1的圆
的圆心位于
轴的正半轴上,过圆心
的动直线
与抛物线交于
、
两点,如图所示.
![](https://img.xkw.com/dksih/QBM/2021/5/2/2712427704213504/2714378138640384/STEM/ee732d83f8994c84a7525512f44a4fd1.png?resizew=227)
(1)若圆
经过抛物线
的焦点
,且圆心位于焦点的右侧,求圆
的方程;
(2)是否存在定点
,使得
为定值,若存在,试求出该定点
的坐标,若不存在,则说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/146294fdb064581da7987fdca20ee912.png)
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/2021/5/2/2712427704213504/2714378138640384/STEM/ee732d83f8994c84a7525512f44a4fd1.png?resizew=227)
(1)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)是否存在定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97421de7f49e4bc118f26f2bbe334826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
8 . 已知点
,
、
、
是平面直角坐标系上的点,且满足
.(其中
)
(1)当
坐标为
,
,写出点
的轨迹方程;
(2)若
、
、
都在椭圆
上,且三点都在x轴上方,其中:点
的横坐标为0,
,求
的面积;
(3)若
、
、
都在抛物线
上,点
的横坐标为2,问:x轴上是否存在一点M,使得
,若存在,请求出点M,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6ff81aedbefa935da289dc632e78eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b926e699e0793ca274d70dc2d10ff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0924ff22fff9f5639feb0ceeece80d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c1344592c925b273f2cb9b9e47ebbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271e595c257e4c0ade90a9bbbf0e6b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6867e03e79aed5d22336e37201538337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ac2dd55fa98f9bf10fcd95ce3169c3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ffce8ca557af3ed8c35a6fafd54ad0.png)
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9 . 已知抛物线C∶x2=4y,不过原点的直线l与C交于不同两点
.
(1)若直线l过抛物线C的焦点,设求
的值;
(2)若OA垂直于OB,求证∶直线l过定点;
(3)若直线l过点(0,4),直线m∶y=ax-1,直线AO,BO分别交直线m于M,N两点,线段MN长的最小值为f( a),求f(a)的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8318418fd02120c4efa0a53f5d2dd945.png)
(1)若直线l过抛物线C的焦点,设求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e786d7dff2b270c93c70fe8c75c8885.png)
(2)若OA垂直于OB,求证∶直线l过定点;
(3)若直线l过点(0,4),直线m∶y=ax-1,直线AO,BO分别交直线m于M,N两点,线段MN长的最小值为f( a),求f(a)的最大值.
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10 . 过抛物线
的焦点F的直线交抛物线于M、N两点,且M、N两点的纵坐标之积为
.
(1)求抛物线的方程;
(2〉求
的值(其中О为坐标原点);
(3)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
(1)求抛物线的方程;
(2〉求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297bc912cb09546db07e4fb6be67af40.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f24f3e88ab6fbdd293de0730616fa63.png)
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