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5 微分法と積分法 147 140 接線の本数 3次曲線C:y=f(z) に, 平 面上の点からひける接線の本 数は,点が右図のそれぞれの 領域内にあれば,表示された 数である。 L C 1 3 A 3 1 C COMMENT 3次曲線y=f(z)上の, 点 (a. b)を通る 接線の本数は,136の「注意」より 6=f(t)(a-t)+f\t)の 実数解の数に等しく, それを図と同様な考えで調べた ロ

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; 数学I 139 3次曲線と方程式 ** 3次方程式f(z)=ar°+ bz°+cz+d=0 (aキ0) が、相異なる3個の実数解をもつ条件は P(z)=3a(z-a)(ェ-B)とおくとき, aとBは異なる実数で, f(α)f(B) <0 COMMENT まず, 3 次 曲線y=f(z) には,右図の 4種がある。右上がりか, 右下がりかは、 の価散 a<0 a>0 3 %=0で

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5 微分法と積 141 134 微分係数 F(a+h)-f(a) lim =f"{a) h h→0 f(x)-f(a)= f"(a) lim C-a 北→a COMMENT, この式で定義される fla)を微分係数と いう。第1式で, a+h=rとおくと, h=x-aとなり。 それが第2式であるから. 実質は同じ式である。

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138 数学I 131 対数方程式· 不等式 対数方程式の考え方 (1) logar=tとおいて, tの方程式にする。 (2) 底をそろえて loga A=loga Bから A=Bを導く. 3)「文字文*」の形は両辺の対数をとる。 COMMENT, 対数方程式にはいろいろな形のものか あるが,ここではよく現れる3つの型について,考え 方を述べた.とくに(2)の )刑では 直米 主意する

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3 三角関数 1 124三角 不等式 1種類の三角関数で表し, その方程式を解くと ころまでは,三角方程式と同じ. 不等式を解いてθの範囲を求めるには cos 0 はx座標 単位円周上 と考えよ。 sin 0 はy座標 COMMENT, aハcos0Sbのとき, 右図より,単位円周上aSz三bと

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190 数学I 123 三角方程式 ★** 公式を利用して, sin 6, cos 0, tan 0 のいずれ か1種類とし,その方程式を解く. 一般解を求めるには, nを整数として sin 0=sin α なら, 0=(-1)"α+nn cos 0=cos α なら,0=±a+2nπ tan 0=tan α なら,0=α+nT COMMENT, sin 0 またはcosθ の 値は,単位円周上の点のy座標また はx座標に対応する YA πーα

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1. ポイント 101 (3) There was no comment from the lady ( )I thought was sure to protest. 1. whom 22. of whom w in(3. who 4. whose ve ( t状社oS

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Now, the key factor influencing conservation in Borneo is the Extreme poverty of most Indonesians. Setting Naside large areas as feserves the most common way to 5 parks or lresei Conserve biodiversity-hasn't worked'at least uare er (s) in the Indonesian part of Borneo. This is In the past 20 years plantation of oil palm trees have spread because of lack of money or support from local 00020 people. Many people owe their income to the timber industry and Ters them a 10 we have to consider this reality as well. To support my point, here are comments made by two To t-blo ori q balan onml sobi banoidas conservationists working in Borneo. The first admits his own personal dependence on the timber money. “Like many people in Borneo I grew up on money from

この問題で、答えはwhoだったのですが、目的格の省略と考えてwhomにはならないのですか？？

) There was no comment from the lady ( )I thought was sure to protest. 1. whom 2. of whom 3. who 4. whose

至急お願いします！！ 河合模試の部分です 分かるものだけでもいいので教えてください🙏 お願いします！

B Your English teacher gave you an article to help you prepare for the debatc jm the next class. A part of this article with one of the comments is shown below Save Abandoned Cats and Dogs 応 zzdZ ey//ey, Halifax AUGUST 12. 2019・3:23 PM Many animalrescue organizations in Canada are working together to prevent Cats and dogs from being killed in shelters。 Some shelters kil up to 30% of the animals that they take in。 These animals are usually old. sick, or dangerous to other animals in the shelter Mr. Larry Brown. the director of the Lost Dogs Animal Shelter, says that his | gOal iS to save at least 90% of all shelter animals from being kiled. We Should try to save as many animals as possible" Mr. Brown says。 "They have | he right to live and be happy, just like humans" Many people in Canada agree with Mr. Brown. A recent poll found that more than 75% of Canadians | think the government should give more money to help shelters care for | abandoned animals | | However, a dog breeder Ms Hannah Smith thinks the opposte。 Cats and | dogs that arent adopted by a new family often die in the shelter or make the | other animals sick" she says. "Some of these animals try to hurt people | They must be put to sleep. Otherwise, there will be too many animals to take | Cre of" Ms Smith also believes that eforts to save every animal would cost taxpayers too much money. | Newest Michael Brown November 21.2019・7:22 PM How could Ms. Smith be so cold? Afew exta dollers added 10 our taxes saems lke a small pice to pay 0 support our local sheleers。 Were akng about lves | here! These animals deserve our respect 0 問1 問2 問3 ⑩ @ @ 9) According to the article. many cats and dogs rescued led because | 11 shelters have to keep other kinds of animals lo save the taxpayers do not wa they are old or because they have health or behavior problems hey will die sooner or later in the shelters Im a debate, your team will support the statement. "No animals should bc killed in shelters.′ In the article. one opinion (not a fact) helpful for you teamisthat | 12 cats and dogs should be able to enjoy their lives many Canadians suggest more money be spent on saving animals ⑤@ぐ@ら@ ⑤@Wぐ@@G one-third of animals in some shelters are killed some organizations are trying to save animals' lives The other team will be on the opposite side. In the ot a fact) helpful for that team is that | 13 alot of money shouldmt be spent on shelter animals cats and dogs should be kept in separate shelters shelter animals should be adopted by families some animals are aggressive and hurt people ー13 article one opinion