学进去-教育应平等而普惠
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已知,内弦交于点E,连接

(1)如图1,求证:平分
(2)如图2,连接于点G,延长于点F,连接,若,求证:
(3)如图3,在(2)的条件下,延长于点H,若,求的长.
类型:证明题
难度系数:困难0.15
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平面直角坐标系中,点,且满足:,点AC关于y轴对称,点Fx轴上一动点.

(1)求点AB两点的坐标;
(2)如图1,若,且,连接x轴于点,求证:
(3)如图2,若,且,直线BC上存在某点,使为等腰直角三角形(点DFG按逆时针方向排列),请直接写出点F的坐标.
类型:解答题
难度系数:困难0.15
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Of the many famous French foods, crepes (可丽饼) are among the most popular. Different types of crepes are prepared around the world. Let’s look at where these delicious French foods came from and their influence on food culture.

As one story goes, a thirteenth-century housewife in Brittany, France, carelessly dropped some porridge (粥) onto a hot cooking stone in her kitchen. The lucky result was a flat and thin pancake that was made of wheat appeared, and wheat later became the key ingredient in traditional crepes. According to another story, crepes date back to the fifth century. The Roman pope (教皇) offered them to French visitors at that time.

The word “crepe” comes from the Latin word “crispa”, which means “curled (弯曲的)”. The food can be served in many different ways. Sweet crepes can include fruit, chocolate or cream. When they are served as part of a light lunch or a dinner meal, they may include ingredients such as meat, cheese or vegetables. Usually, crepes either appear in a half-moon or triangle shape, or rolled up like a newspaper.

Food and culture go hand in hand. ________

The best crepes should have a smooth taste. To produce smooth crepes, the batter (面糊) must be very thin and light. Even with the smoothest batter, the first crepe out of the pan is usually not a success, so it is traditionally offered to the dog or the cat raised by a family. Since crepes come from France, French people have a special holiday just to celebrate this food. The Day of the Crepes falls on February 2. On the day of the holiday, one tradition is to throw a crepe and catch it in the pan held in your right hand while holding a gold coin in your left hand. If you succeed, you will have good luck all year round!

Crepes might be the result of a “happy accident”, but it is not by accident (偶然的) that this delicious food has been filling stomachs for centuries.

1.Which of the following is closest in meaning to the underlined word “ingredient” in Paragraph 2?
A.Form.B.Character.C.Material.D.Taste.
2.What usually happens to the first crepe out of the pan?
A.It is usually eaten by the family pet.B.It is usually a very successful one.
C.It is usually thrown away carelessly.D.It is usually given to the little kid.
3.Which sentence may be the best to fill in “________” in Paragraph 4?
A.It is a tradition to make very thin and light batter.
B.It is a tradition to throw a crepe to have good luck.
C.It is hard to talk about food without talking about the quality behind it.
D.It is hard to talk about food without talking about the customs (风俗) behind it.
4.What does the writer most probably try to say through the last paragraph?
A.It is surprising that crepes are still popular today.
B.Many foods were the results of happy accidents.
C.Crepes have made people feel full for centuries.
D.Crepes is still popular though longtime has passed.
类型:阅读单选
难度系数:困难0.15
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下列图像表示的对应关系正确的是
A.在恒温条件下,将接近饱和的KNO3溶液蒸发水
B.表示向一定温度下氢氧化钙的饱和溶液中加入少量氧化钙固体
C.将硫酸逐滴滴入氢氧化钡溶液中至过量
D.向稀硫酸、硫酸铜的混合溶液中不断滴加氢氧化钠溶液
类型:单选题
难度系数:困难0.15
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平面直角坐标系中,点O是坐标原点,抛物线 经过点 ,对称轴为直线
(1)求的值;
(2)抛物线与轴交于BC两点(CB的右侧),点D是抛物线的顶点.
(ⅰ)点E是抛物线上一动点,且位于直线的上方,过点E的垂线交于点F,求长度的最大值;
(ii)在直线上是否存在点G,使得? 若存在,请求出点G的坐标,若不存在,请说明理由.
类型:解答题
难度系数:困难0.15
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等腰Rt△ABC中,∠ACB=90°,CACB,点AC分别在x轴、y轴的正半轴上.
(1)如图1,求证:∠BCO=∠CAO
(2)如图2,若OA=5,OC=2,求B点的坐标;
(3)如图3,点C(0,3),QA两点均在轴上,且SCQA=18.分别以ACCQ为腰在第一、第二象限作等腰Rt△CAN、等腰Rt△QCM,连接MNy轴于P点,OP的长度是否发生改变?若不变,求出OP的值;若变化,求OP的取值范围.
类型:解答题
难度系数:困难0.15
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如图,在中,.分别是边上的动点,且,则的最小值为__________
类型:填空题
难度系数:困难0.15
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已知,在中,边上一点.
     
(1)如图1,点边上一点,连接,将绕点逆时针旋转,连接.若,求的面积;
(2)如图2,连接,将绕点顺时针旋转,连接,取的中点,连接.试探究线段之间的数量关系;
(3)如图3,连接上一点,在的上方以为边作等边,刚好点是点关于直线的对称点,连接,当取最小值的条件下,点是直线上一点,连接,将沿所在直线翻折得到在同一平面内),连接,当取最小值时,请直接写出的值.
类型:解答题
难度系数:困难0.15
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已知二次函数图象的顶点在原点,且点在此二次函数的图象上.
   
(1)求二次函数的表达式;
(2)如图1,直线与二次函数的图象交于AB两点(点C在直线下方),若,求m的值;
(3)如图2,直线与二次函数的图象交于DE两点,过点D的直线交二次函数的图象于点F,求证:直线过定点.
类型:解答题
难度系数:困难0.15
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如图,平面直角坐标系中,已知,抛物线过点,顶点为,抛物线过点,顶点为,若点在线段上,则的值为(       
   
A.B.C.D.
类型:单选题
难度系数:困难0.15
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