青岛格兰德中学2013—2014学年度第一学期高一年级数学
五班(中英班)期终考试 测试卷
注意:本试卷分测试卷和答题卷两部分,共6页。满分100分,考试用时90分钟。考试结束后,只交答题卷,测试卷请自主保存。
请用0.5毫米签字笔做答。
. 1. Factorise completely
x3 – 4x2 + 3x.
2. The curve C has equation y = x3 – 4x2 + 8x + 3.
The point P has coordinates (3, 0).
(a) Show that P lies on C.
(b) Find the equation of the tangent to C at P, giving your answer in the form y = mx + c, where m and c are constants.