1 . 已知
为坐标原点,
为抛物线
:
的焦点,点
在抛物线上,其中
,弦
的中点为
,以
为端点的射线
与抛物线交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/18/20e2b6c5-7e85-4592-8a97-37ce66022b20.jpg?resizew=150)
(1)若
恰好是
的重心,求
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb57bb18755127be041d346444a4743e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b170470d02c85c1be9a3faff5eca0de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/18/20e2b6c5-7e85-4592-8a97-37ce66022b20.jpg?resizew=150)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8112f9185c7d48b015d9cd0525616b31.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd6dc366f9c7508fc3a2eb2e16ecf3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e59c181acb90b4ce140364611a364fa1.png)
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2021-08-28更新
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5卷引用:浙江省舟山二中(田家炳中学)2022届高三下学期开学考试数学试题
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