1 . 如图所示数阵,第
行共有
个数,第
行的第1个数为
,第2个数为
,第
个数为
.规定:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c97394c9634fde6e772872b54b6249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f195253d3a2bc6383233e3515903c5b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0991d363c974fad83457c6a78b0152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ce15fa76fda687b1c1fbdc2480c524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497e4a4975dd419a1c65724385950c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d34607bb95c84c3bd775c144255895f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
(1)试判断每一行的最后两个数的大小关系,并证明你的结论;
(2)求证:每一行的所在数之和等于下一行的最后一个数;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c15166e2227c8c8582bc17f818fa43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0623207595425920f16e76a7f8f268b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a29a285201fd7e0ad70fa7431cb89a79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df0749c4129afc0c704155f522290b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8715a3f984d2627afd7c40c61347b7cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5222268dda9dcb9b660f3cbedbb37757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f1e3925bda80e8223bf7e431585847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b344ab26012e4cc663266f04dd700cbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c97394c9634fde6e772872b54b6249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05ce266899f72edea3187f4857b802ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99d3bec9b8bdeca73764d9d2eb2c0a15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f195253d3a2bc6383233e3515903c5b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89299ff7b560424509825ce7c690c5be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcad334979e1fa0bef47d84c3c3c101a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fc7959cf1daf71f15861bc4704b111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0991d363c974fad83457c6a78b0152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db1e5ed0e2b01da100e896189c6312d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ee0101530cdc106c05caca4b7014ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c68792cc182e16074dfeaa1bbc7e166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d405be4f523f33ffc67f0d67c129cb7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ce15fa76fda687b1c1fbdc2480c524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9851d400de384cb46bbefdbfc8cdd3cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f159ced7d6594cc3d4f7a88fd9bc4cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/332ab3261e4e33b0948263ba058dc147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d450cef132b9dec887ecd711de4603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a71f2064dc04af9382d1ef31feb0d0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497e4a4975dd419a1c65724385950c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/785606cbba01206e9d91cb3e6d4d2ab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e40e77f739724cbfb3bdfd17ba44e238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df9830c93a2b4e7350544ffd662b82d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6585c61fd9ef5eaa86493b7c65ef581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ace8be106f1402565ea778f0818bda9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb5c42bd7166ff6486b3b69ba1e1d64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d34607bb95c84c3bd775c144255895f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
(1)试判断每一行的最后两个数的大小关系,并证明你的结论;
(2)求证:每一行的所在数之和等于下一行的最后一个数;
您最近一年使用:0次
名校
2 . 已知曲线
在点
处的切线为
.
(1)求直线
的方程;
(2)证明:除点
外,曲线
在直线
的下方;
(3)设
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1026c00ff9d78946b4984d09de77995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f84134092f31767ff9f7e8200a79fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)证明:除点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa83d5be9b28fcfce25c9bfca0d3d4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab873c4173a3992c043fbf32cab4d8c.png)
您最近一年使用:0次
2024-04-26更新
|
1307次组卷
|
4卷引用:2024届山东省五莲县第一中学高考模拟(二)数学试题
名校
3 . 如图,
为矩形,
为梯形,平面
平面
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/e203ce5f-037d-48c8-bb07-1f35f66669d4.png?resizew=202)
(1)若M为
中点,求证:
平面
;
(2)设平面
平面
,试判断
与平面
能否垂直?并证明你的结论;
(3)在(1)条件下,求平面
与平面
所夹的锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5bf51c07144386bd23a422d9ceb140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6379891c7150af4188b5ab746d703bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d20fec32122b4a70b993976201c9ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0046177466c78f08d45449dc5639bf38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7a201432af0a2f9d21c6803906f5c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/e203ce5f-037d-48c8-bb07-1f35f66669d4.png?resizew=202)
(1)若M为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8197bf06d017950c85c3ba6a291c095e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df21b7b7a47318ef2bb069450c39f1cd.png)
(2)设平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c659d2ab07b9b66ed9a60cb604dd9aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b951997af111a840cb333a082137402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(3)在(1)条件下,求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df21b7b7a47318ef2bb069450c39f1cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
4 . 已知正项数列
的前
项和为
,
.
(1)记
,证明:数列
的前
项和
;
(2)若
,求证:数列
为等差数列,并求
的通项公式.
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
(1)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf114725ab617af515bf9d2571402106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9928e46511e601913619a427ded84a3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e7e6e9c815b0716de4f5515e4370f77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25cbe66fe4e84b4022721122baab4a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2023-08-29更新
|
810次组卷
|
3卷引用:山东省日照市莒县第四中学2024届高三上学期第二阶段性考试数学试题
2022高三·全国·专题练习
解题方法
5 . 如图,在多面体
中,四边形
为直角梯形,
,
,
,
,四边形
为矩形.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/2b0ebbd9-62c5-427f-8613-1bfa1215639a.png?resizew=163)
(1)求证:平面
平面
;
(2)线段
上是否存在点
,使得二面角
的余弦值为
?若不存在,请说明理由.若存在,确定点
的位置并加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c162736b719327a2acd7c4d313e1d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699fc9b7e879af4866aaa07848dfb423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/479bb5e937f4fdb1fcbca229e62e0e80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d26f819a0677f507283ccb157dc0c1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/941ae54e27bcb5c3909350049f2afd85.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/2b0ebbd9-62c5-427f-8613-1bfa1215639a.png?resizew=163)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb5012f6c70a1e98d682b6d021fadd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa14a5c8a3c0cbd3a0ab5752957ddc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dedfba8b9447a4db53baae62fdeebfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
您最近一年使用:0次
解题方法
6 . 如图,在多面体
中,四边形
是矩形,
为等腰直角三角形,且
,
,
.
![](https://img.xkw.com/dksih/QBM/2021/5/25/2728772269850624/2731651711229952/STEM/af692241697b4fd09252f5f07783f423.png?resizew=145)
(1)求证:平面
平面
;
(2)线段
上存在点
,使得二面角
的大小为
,试确定点
的位置并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb64353c99068a7a1a8508a22f5b25b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5a2eb4bd5e40825dad3019e98014f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60634341a9603e24b2bbc6960abe3d31.png)
![](https://img.xkw.com/dksih/QBM/2021/5/25/2728772269850624/2731651711229952/STEM/af692241697b4fd09252f5f07783f423.png?resizew=145)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d28c625d7ac6878957facc8274d459c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
(2)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502f49e759b623b5c3a8b901bb9882cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
7 . 已知双曲线
的中心为坐标原点,右顶点为
,离心率为
.
(1)求双曲线
的标准方程;
(2)过点
的直线
交双曲线右支于
,
两点,交
轴于点
,且
,
.
(i)求证:
为定值;
(ii)记
,
,
的面积分别为
,
,
,若
,当
时,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047616f1d1d39bf6c3cd07cf63ef5b80.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80bc5ef9d91862ad062220d5e88b2e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6e56e12c9e4563e1a71d2d3d60eeb09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b792ba3795276450f896596826fe3740.png)
(i)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(ii)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323eb2e41f461ac655012a986d5a27bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40bd8b071b24e92e0b1fd38101ffe400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.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/c1d0f90cc06524175f4238109c16cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a39274b6acb10b1c437db9d067516e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
8 . 在一条只能沿单向行驶的高速公路上,共有
个服务区.现有一辆车从第
个服务区向第1个服务区行驶,且当它从第
个服务区开出后,将等可能地停靠在第
个服务区,直到它抵达第1个服务区为止,记随机变量
为这辆车全程一共进入的服务区总数.
(1)求
的分布列及期望;
(2)证明:
是等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f27f84764f1cca89ce3d93fc1cf603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8dbd3cfdfc5434d53191175f7f658ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56f2ed1c214ad049f0af70377585962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d0f3799612b81e85b87241ec8eee68.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1bbb0a939ec3c2d0414c2351f93ae5f.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570b23a0c53f8a2e896900acb8f21c03.png)
您最近一年使用:0次
2024-06-03更新
|
910次组卷
|
2卷引用:山东省日照市五莲县第一中学2024届高三第三次模拟考试数学试题
9 . 已知函数
,
.
(1)判断函数
在区间
上的零点个数,并说明理由;
(2)函数
在区间
上的所有极值之和为
,证明:对于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1044dcf4fba551e1b7fbfeb895ea08c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df3e4d7bd045ca908e0d291df76e02d3.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad14579830d0293b1390911cb603eb02.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d035309c953cd9ea43094ffbd888b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daba0444595815c4aa0bcbca50b2f46c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fa2ed9c260f345b10e8da2e80545655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1245cd8a6cf18939a889c1e64782e4f.png)
您最近一年使用:0次
名校
10 . 已知抛物线
,过点
的直线与抛物线
交于
两点,设抛物线
在点
处的切线分别为
和
,已知
与
轴交于点
与
轴交于点
,设
与
的交点为
.
(1)证明:点
在定直线上;
(2)若
面积为
,求点
的坐标;
(3)若
四点共圆,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d094a0415fd4c9639f5950a3b522d77a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c93f320cfddc8ea21099f8e4892ddd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e95f7197eefaa30c63b73aef5ef464b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.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/dad2a36927223bd70f426ba06aea4b45.png)
(1)证明:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172949380786d26b89d4ddd7850f3af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2024-05-14更新
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3卷引用:山东省日照市五莲县第一中学2024届高考模拟预测(一)数学试题