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Mathematics Senior High

(2)教えて欲しいです (1)の答えの③のところを僕は-xでくくってx^2-x(m+2)x+1としました解と係数の関係よりα+βはこの場合-m-2/2になってしまいます間違いですか?

基礎問 74 第3章 図形と式 46 軌跡 (IV) -放物線y=x2-2x+1と直線y=mx について,次の問いに 答えよ. (1) 上の放物線と直線が異なる2点 P, Qで交わるためのmの範 囲を求めよ. 074-71865 線分PQの中点の座標をm で表せ. 1+tais: (3) が (1)で求めた範囲を動くとき, 点Mの軌跡を求めよ. 精講 „Aš 05/1| JW A +*(1+1) (1) 放物線と直線の位置関係は,連立させてyを消去した2次方程 式の判別式を考えます. $2121,02121- 異なる2点とかいてあるので, 判別式≧0 ではありません. (2) (1) 2次方程式の解がPとQのx座標ですが,mを含んだ式になるの で2解をα,βとおいて, 解と係数の関係を利用した方が計算がラクです. (3) (1)において,に範囲がついている点に注意します。 ま ( 45 III) ..m<-4, 0<m (2) ③ の2解をα, β とすれば, P(α, ma), Q(B, mβ) とおける. 解答 y=x²-2x+1①, y=mx② (1) ①,②より,y を消去して, ²-(m+2)x+1=0..... ③ ③は異なる2つの実数解をもつので、 判別式をDとすると, D>0 D=(m+2)2-4 であるから m²+4m>0 :. m(m+4)>0 このとき, M(x,y) とすれば, _a+ß _m(a+B) 2' 2 y=- ここで, 解と係数の関係より α+β=m+2 だから X= #TUKHOL -=mx (4) YA 0 覚えてい niy=mx P y=x2-2x+1 Vnie) M a 1 B DC

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English Senior High

上から16行目位のofの後の^ には何か言葉が省略されているのかと思うのですが、何が省略されてるのでしょうか?

When we think about lives filled with meaning, we often focus on people whose grand contributions benefited humanity. Abraham Lincoln, Martin Luther King, Jr., and 壮な Nelson Mandela surely felt they had a worthwhile life. However, how about us ordinary people? Many scholars agree that a subjectively meaningful existence often boils down to 主観的に (a) three factors: the feeling that one's life is coherent and “makes sense,” the possession of clear and satisfying long-term goals, and the belief that one's life matters in the grand 信念 scheme of things. Psychologists call these three things coherence, purpose, and (1) existential mattering. 存在に関する な However, we believe that there is another element to consider. Think about the first butterfly you stop to admire after a long winter, or imagine the scenery on top of a hill after a fresh hike. Sometimes existence delivers us small moments of beauty. When S people are open to appreciating such experiences, these moments may enhance how they =4 view their life. We call this element experiential appreciation. The phenomenon reflects 感謝価値評価 the feeling of a deep connection to events as they occur and the ability to extract value 抽出する. V from that link. It represents the detection of and admiration for life's inherent beauty. 発 (b) 本来備わっている。 We recently set out to better understand this form of appreciation in a series of studies that involved more than 3,000 participants. Across these studies, we were interested in whether experiential appreciation was related to a person's sense of meaning even when we accounted for the effects of the classic trio of coherence, purpose, and existential mattering. If so, experiential appreciation could be a unique (c) contributor to meaningfulness and not simply a product of these other variables. 変数の産物 As an initial test of our idea, during the early stages of the COVID pandemic, we had participants rate to what extent they agreed with different coping strategies to 対処方法 relieve their stress. We found that people who managed stress by focusing on their Avent appreciation for life's beauty also reported experiencing life as highly meaningful. In 感謝 - 1 - 有意義

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