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【简答题】
In the middle of his junior year we pulled our youngest son out of a very expensive out-of-state university and brought him back home. This was a year and a half ago. His grades were below our agreed-upon minimum. In addition to grades, there was the unpleasant matter of him being dragged in front of the dean on an alcohol violation. After logging on to his student account (he gave us the password) to pay tuition one month, we saw a $350 “get out of jail” payment. Then there were the 20 or so parking violations around campus because he was too lazy to walk to class, or perhaps couldn’t get out of bed in time to walk to class. At the end of his fall semester junior year, having not fulfilled his obligations to make grades and behave responsibly, he came back home to live with us in the basement. We gave him enough warning in advance to allow the reality to sink in. We allowed him to enroll at the nearby state university for the spring semester. His grades and test scores were good enough for him to get accepted into the university’s business school. Long story short: Two weeks ago he graduated with a BS in accounting. Despite a few bumps in the road, he managed to graduate in four years. He loaded up with classes last summer to make up for the credits he lost in the transfer. We told him he had to keep a part-time job, which he did. This spring he was working at a start-up, doing everything from basic accounting to helping load their product into boxes to ship out—actual physical labor. He had an interview trip this week in Texas. Yesterday he texted me (doesn’t call anymore) to let me know he’d been offered a job on the spot. A real job with a decent salary and real benefits. He’s moving out of the house and driving to Texas on Thursday. We are proud of that young man and glad we didn’t baby him. Pulling him out of that private school was the best thing we could have ever done. Living in the basement gave him a large mouthful of reality. Having your kid living in the basement isn’t always bad. As long as they eventually move out!
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【单选题】若椭圆的中心为原点,焦点在坐标轴上,焦距等于12,离心率等于0.6,则其标准方程为( )
A.
B.
C.
D.
以上答案都不对
【简答题】已知椭圆的中心是坐标原点O,焦点在x轴上,离心率为 2 2 ,又椭圆上任一点到两焦点的距离和为 2 2 ,过点M(0, - 1 3 )与x轴不垂直的直线l交椭圆于P、Q两点. (1)求椭圆的方程; (2)在y轴上是否存在定点N,使以PQ为直径的圆恒过这个点?若存在,求出N的坐标,若不存在,说明理由.
【简答题】(本小题满分14分) 已知椭圆的中心是坐标原点 ,焦点在x轴上,离心率为 ,又椭圆上任一点到两焦点的距离和为 ,过点M(0, )与x轴不垂直的直线 交椭圆于P、Q两点. (1)求椭圆的方程; (2)在y轴上是否存在定点N,使以PQ为直径的圆恒过这个点?若存在,求出N的坐标,若不存在,说明理由.
【简答题】已知椭圆 的中心在坐标原点,焦点在 轴上,离心率为 ,椭圆 上的点到焦点距离的最大值为 . (Ⅰ)求椭圆 的标准方程; (Ⅱ)若过点 的直线 与椭圆 交于不同的两点 ,且 ,求实数 的取值范围.
【简答题】已知椭圆 的中心在坐标原点,焦点在 轴上,椭圆 上的点到焦点距离的最大值为 ,最小值为 . (Ⅰ)求椭圆方程; (Ⅱ)若直线 与椭圆交于不同的两点 、 ,且线段 的垂直平分线过定点 ,求 的取值范围.
【判断题】登记账簿的依据是审核无误的会计凭证
A.
正确
B.
错误
【简答题】已知椭圆 的中心在坐标原点,焦点在 轴上,椭圆 上的点到焦点距离的最大值为 ,最小值为 . (Ⅰ)求椭圆 的标准方程; (Ⅱ)若直线 与椭圆 相交于 , 两点( 不是左右顶点),且以 为直径的圆过椭圆 的右顶点,求证:直线 过定点,并求出该定点的坐标.
【简答题】已知椭圆 的中心在坐标原点,焦点在 轴上,离心率为 ,椭圆 上的点到焦点距离的最大值为 . (1)求椭圆 的标准方程; (2)若过点 的直线 与椭圆 交于不同的两点 ,且 ,求实数 的取值范围.
【简答题】已知椭圆C的中心在坐标原点,焦点在x轴上,离心率为 1 2 ,椭圆C上的点到焦点距离的最大值为3. (Ⅰ)求椭圆C的标准方程; (Ⅱ)若过点P(0,m)的直线l与椭圆C交于不同的两点A,B,且 AP =3 PB ,求实数m的取值范围.
【多选题】2-37.对古代行走动作叙述正确的有()选择一项或多项:
A.
两脚进,曰行
B.
徐行,曰步
C.
疾行,曰趋
D.
疾趋,曰走
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